New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Krzysztof Koczubik (ksysju) of Poland. He is a member of BOINC@Poland.

The AP24 was returned on 23 Feb 2009 13:37:03 UTC. It was found by an Intel C2Q Quad CPU Q9300 @ 2.50GHz running 64 bit Linux. It took about 12 minutes and 10 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 13785500104035967+1004314*23#*n for n=0..23. Credits are as follows:

Finder: Krzysztof Koczubik
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section of All known AP24 and AP25.

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
13785500104035967+1004314*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

13785500104035967+1004314*223092870*0= 13785500104035967
13785500104035967+1004314*223092870*1= 14009555396677147
13785500104035967+1004314*223092870*2= 14233610689318327
13785500104035967+1004314*223092870*3= 14457665981959507
13785500104035967+1004314*223092870*4= 14681721274600687
13785500104035967+1004314*223092870*5= 14905776567241867
13785500104035967+1004314*223092870*6= 15129831859883047
13785500104035967+1004314*223092870*7= 15353887152524227
13785500104035967+1004314*223092870*8= 15577942445165407
13785500104035967+1004314*223092870*9= 15801997737806587
13785500104035967+1004314*223092870*10= 16026053030447767
13785500104035967+1004314*223092870*11= 16250108323088947
13785500104035967+1004314*223092870*12= 16474163615730127
13785500104035967+1004314*223092870*13= 16698218908371307
13785500104035967+1004314*223092870*14= 16922274201012487
13785500104035967+1004314*223092870*15= 17146329493653667
13785500104035967+1004314*223092870*16= 17370384786294847
13785500104035967+1004314*223092870*17= 17594440078936027
13785500104035967+1004314*223092870*18= 17818495371577207
13785500104035967+1004314*223092870*19= 18042550664218387
13785500104035967+1004314*223092870*20= 18266605956859567
13785500104035967+1004314*223092870*21= 18490661249500747
13785500104035967+1004314*223092870*22= 18714716542141927
13785500104035967+1004314*223092870*23= 18938771834783107
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Stefan Smietanowski (Blast) of Sweden. He is a member of Team Picard.

The AP24 was returned on 5 Mar 2009 20:33:14 UTC. It was found by an AMD Athlon 64 3000+ running 64 bit Linux. It took about 16 minutes and 50 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 2725131905640097+1342336*23#*n for n=0..23. Credits are as follows:

Finder: Stefan Smietanowski
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section of All known AP24 and AP25.

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
2725131905640097+1342336*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

2725131905640097+1342336*223092870*0 = 2725131905640097
2725131905640097+1342336*223092870*1 = 3024597496384417
2725131905640097+1342336*223092870*2 = 3324063087128737
2725131905640097+1342336*223092870*3 = 3623528677873057
2725131905640097+1342336*223092870*4 = 3922994268617377
2725131905640097+1342336*223092870*5 = 4222459859361697
2725131905640097+1342336*223092870*6 = 4521925450106017
2725131905640097+1342336*223092870*7 = 4821391040850337
2725131905640097+1342336*223092870*8 = 5120856631594657
2725131905640097+1342336*223092870*9 = 5420322222338977
2725131905640097+1342336*223092870*10 = 5719787813083297
2725131905640097+1342336*223092870*11 = 6019253403827617
2725131905640097+1342336*223092870*12 = 6318718994571937
2725131905640097+1342336*223092870*13 = 6618184585316257
2725131905640097+1342336*223092870*14 = 6917650176060577
2725131905640097+1342336*223092870*15 = 7217115766804897
2725131905640097+1342336*223092870*16 = 7516581357549217
2725131905640097+1342336*223092870*17 = 7816046948293537
2725131905640097+1342336*223092870*18 = 8115512539037857
2725131905640097+1342336*223092870*19 = 8414978129782177
2725131905640097+1342336*223092870*20 = 8714443720526497
2725131905640097+1342336*223092870*21 = 9013909311270817
2725131905640097+1342336*223092870*22 = 9313374902015137
2725131905640097+1342336*223092870*23 = 9612840492759457
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Krzysztof Koczubik (ksysju) of Poland. This is his second AP24 discovery. He is a member of BOINC@Poland.

The AP24 was returned on 27 Mar 2009 13:39:01 UTC. It was found by an Intel C2D 6300 @ 1.86GHz running 64 bit Linux. It took about 19 minutes to process the WU (each WU tests 3 progression differences).

The progression is written as 6872932294461509+2042703*23#*n for n=0..23. Credits are as follows:

Finder: Krzysztof Koczubik
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section of All known AP24 and AP25.

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
6872932294461509+2042703*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

6872932294461509+2042703*223092870*0=6872932294461509
6872932294461509+2042703*223092870*1=7328644769289119
6872932294461509+2042703*223092870*2=7784357244116729
6872932294461509+2042703*223092870*3=8240069718944339
6872932294461509+2042703*223092870*4=8695782193771949
6872932294461509+2042703*223092870*5=9151494668599559
6872932294461509+2042703*223092870*6=9607207143427169
6872932294461509+2042703*223092870*7=10062919618254779
6872932294461509+2042703*223092870*8=10518632093082389
6872932294461509+2042703*223092870*9=10974344567909999
6872932294461509+2042703*223092870*10=11430057042737609
6872932294461509+2042703*223092870*11=11885769517565219
6872932294461509+2042703*223092870*12=12341481992392829
6872932294461509+2042703*223092870*13=12797194467220439
6872932294461509+2042703*223092870*14=13252906942048049
6872932294461509+2042703*223092870*15=13708619416875659
6872932294461509+2042703*223092870*16=14164331891703269
6872932294461509+2042703*223092870*17=14620044366530879
6872932294461509+2042703*223092870*18=15075756841358489
6872932294461509+2042703*223092870*19=15531469316186099
6872932294461509+2042703*223092870*20=15987181791013709
6872932294461509+2042703*223092870*21=16442894265841319
6872932294461509+2042703*223092870*22=16898606740668929
6872932294461509+2042703*223092870*23=17354319215496539
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Pawel Stachowiak (stachu @ fiddex) of Poland. He is a member of BOINC@Poland.

The AP24 was returned on 5 Apr 2009 13:35:23 UTC. It was found by an Intel Pentium Dual CPU E2180 @ 2.00GHz running 32 bit Windows XP. It took about 34 minutes to process the WU (each WU tests 3 progression differences).

The progression is written as 6274259724784693+2522655*23#*n for n=0..23. Credits are as follows:

Finder: Pawel Stachowiak
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section of All known AP24 and AP25.

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
6274259724784693+2522655*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

6274259724784693+2522655*223092870*0=6274259724784693
6274259724784693+2522655*223092870*1=6837046068754543
6274259724784693+2522655*223092870*2=7399832412724393
6274259724784693+2522655*223092870*3=7962618756694243
6274259724784693+2522655*223092870*4=8525405100664093
6274259724784693+2522655*223092870*5=9088191444633943
6274259724784693+2522655*223092870*6=9650977788603793
6274259724784693+2522655*223092870*7=10213764132573643
6274259724784693+2522655*223092870*8=10776550476543493
6274259724784693+2522655*223092870*9=11339336820513343
6274259724784693+2522655*223092870*10=11902123164483193
6274259724784693+2522655*223092870*11=12464909508453043
6274259724784693+2522655*223092870*12=13027695852422893
6274259724784693+2522655*223092870*13=13590482196392743
6274259724784693+2522655*223092870*14=14153268540362593
6274259724784693+2522655*223092870*15=14716054884332443
6274259724784693+2522655*223092870*16=15278841228302293
6274259724784693+2522655*223092870*17=15841627572272143
6274259724784693+2522655*223092870*18=16404413916241993
6274259724784693+2522655*223092870*19=16967200260211843
6274259724784693+2522655*223092870*20=17529986604181693
6274259724784693+2522655*223092870*21=18092772948151543
6274259724784693+2522655*223092870*22=18655559292121393
6274259724784693+2522655*223092870*23=19218345636091243
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 19898154930924749 surpassing the old record of 19516877252820799. The finder is Pawel Stachowiak (stachu @ fiddex) of Poland. This is his 2nd AP24 discovery. He is a member of BOINC@Poland.

The AP24 was returned on 6 Apr 2009 21:41:31 UTC. It was found by an Intel Xeon E5310 @ 1.60GHz running 32 bit Windows Server 2003 "R2". It took about 41 minutes 18 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 7960592659339799+2326495*23#*n for n=0..23. Credits are as follows:

Finder: Pawel Stachowiak
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
7960592659339799+2326495*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

7960592659339799+2326495*223092870*0=7960592659339799
7960592659339799+2326495*223092870*1=8479617105930449
7960592659339799+2326495*223092870*2=8998641552521099
7960592659339799+2326495*223092870*3=9517665999111749
7960592659339799+2326495*223092870*4=10036690445702399
7960592659339799+2326495*223092870*5=10555714892293049
7960592659339799+2326495*223092870*6=11074739338883699
7960592659339799+2326495*223092870*7=11593763785474349
7960592659339799+2326495*223092870*8=12112788232064999
7960592659339799+2326495*223092870*9=12631812678655649
7960592659339799+2326495*223092870*10=13150837125246299
7960592659339799+2326495*223092870*11=13669861571836949
7960592659339799+2326495*223092870*12=14188886018427599
7960592659339799+2326495*223092870*13=14707910465018249
7960592659339799+2326495*223092870*14=15226934911608899
7960592659339799+2326495*223092870*15=15745959358199549
7960592659339799+2326495*223092870*16=16264983804790199
7960592659339799+2326495*223092870*17=16784008251380849
7960592659339799+2326495*223092870*18=17303032697971499
7960592659339799+2326495*223092870*19=17822057144562149
7960592659339799+2326495*223092870*20=18341081591152799
7960592659339799+2326495*223092870*21=18860106037743449
7960592659339799+2326495*223092870*22=19379130484334099
7960592659339799+2326495*223092870*23=19898154930924749
____________

New AP25

A new record AP25 (Arithmetic Progression of 25 primes) has been found. It is only the 2nd known and now largest AP25. It has an ending term of 15523154536267043 surpassing the old record of 8132758706802551. It is also the AP25 with smallest known start 2960886048458003, the previous record being 6171054912832631. The finder is BOINC@Poland's "Super Computer" (SKB@P). It is a farm of machines funded by BOINC@Poland members.

The AP25 was returned on 8 Apr 2009 14:37:49 UTC. It was found by an Intel C2Q Q9450 @ 2.66GHz running 64 bit Windows XP Professional. It took about 12 minutes 20 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 2960886048458003+2346233*23#*n for n=0..24. Credits are as follows:

Finder: BOINC@Poland
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP25 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• Smallest AP-k with minimal start
  
• Record history for smallest AP-k with minimal start
  
• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 25 terms of the AP25
2960886048458003+2346233*23#*n for n=0..24

23#=2*3*5*7*11*13*17*19*23=223092870

2960886048458003+2346233*223092870*0=2960886048458003
2960886048458003+2346233*223092870*1=3484313902116713
2960886048458003+2346233*223092870*2=4007741755775423
2960886048458003+2346233*223092870*3=4531169609434133
2960886048458003+2346233*223092870*4=5054597463092843
2960886048458003+2346233*223092870*5=5578025316751553
2960886048458003+2346233*223092870*6=6101453170410263
2960886048458003+2346233*223092870*7=6624881024068973
2960886048458003+2346233*223092870*8=7148308877727683
2960886048458003+2346233*223092870*9=7671736731386393
2960886048458003+2346233*223092870*10=8195164585045103
2960886048458003+2346233*223092870*11=8718592438703813
2960886048458003+2346233*223092870*12=9242020292362523
2960886048458003+2346233*223092870*13=9765448146021233
2960886048458003+2346233*223092870*14=10288875999679943
2960886048458003+2346233*223092870*15=10812303853338653
2960886048458003+2346233*223092870*16=11335731706997363
2960886048458003+2346233*223092870*17=11859159560656073
2960886048458003+2346233*223092870*18=12382587414314783
2960886048458003+2346233*223092870*19=12906015267973493
2960886048458003+2346233*223092870*20=13429443121632203
2960886048458003+2346233*223092870*21=13952870975290913
2960886048458003+2346233*223092870*22=14476298828949623
2960886048458003+2346233*223092870*23=14999726682608333
2960886048458003+2346233*223092870*24=15523154536267043
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 25490711550130537 surpassing the old record of 19898154930924749 (2009, Pawel Stachowiak, PrimeGrid, AP26). It is also the AP24 with smallest known start 167806194923077, the previous record being 401516288036293 (2008, Raanan Chermoni & Jaroslaw Wroblewski). The finder is Andreas Kobara (Lexs) of Germany. He is a member of the Gentoo Linux Users Everywhere team.

The AP24 was returned on 5 May 2009 12:16:21 UTC. It was found by an Intel C2D E8500 @ 3.16GHz running 32 bit Windows XP Professional. It took about 20 minutes 43 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 167806194923077+4935146*23#*n for n=0..23. Credits are as follows:

Finder: Andreas Kobara
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• Smallest AP-k with minimal start
  
• Record history for smallest AP-k with minimal start
  
• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
167806194923077+4935146*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

167806194923077+4935146*223092870*0=167806194923077
167806194923077+4935146*223092870*1=1268802079932097
167806194923077+4935146*223092870*2=2369797964941117
167806194923077+4935146*223092870*3=3470793849950137
167806194923077+4935146*223092870*4=4571789734959157
167806194923077+4935146*223092870*5=5672785619968177
167806194923077+4935146*223092870*6=6773781504977197
167806194923077+4935146*223092870*7=7874777389986217
167806194923077+4935146*223092870*8=8975773274995237
167806194923077+4935146*223092870*9=10076769160004257
167806194923077+4935146*223092870*10=11177765045013277
167806194923077+4935146*223092870*11=12278760930022297
167806194923077+4935146*223092870*12=13379756815031317
167806194923077+4935146*223092870*13=14480752700040337
167806194923077+4935146*223092870*14=15581748585049357
167806194923077+4935146*223092870*15=16682744470058377
167806194923077+4935146*223092870*16=17783740355067397
167806194923077+4935146*223092870*17=18884736240076417
167806194923077+4935146*223092870*18=19985732125085437
167806194923077+4935146*223092870*19=21086728010094457
167806194923077+4935146*223092870*20=22187723895103477
167806194923077+4935146*223092870*21=23288719780112497
167806194923077+4935146*223092870*22=24389715665121517
167806194923077+4935146*223092870*23=25490711550130537
____________

New AP22

A new record AP22 (Arithmetic Progression of 22 primes) has been found. It is the AP22 with smallest known start 1322554958713, the previous record being 1365385579783 (2007, Jaroslaw Wroblewski). The finder is Jacek Kotnowski (sosnahojna) of Poland. He is a member of the BOINC@Poland team.

The AP22 was returned a while ago. Therefore, the WU has been purged and the details of time and computer specs are unknown.

The progression is written as 1322554958713+2861998*23#*n for n=0..21. Credits are as follows:

Finder: Jacek Kotnowski
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP22 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• Smallest AP-k with minimal start
  
• Record history for smallest AP-k with minimal start
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 22 terms of the AP22
1322554958713+2861998*23#*n for n=0..21

23#=2*3*5*7*11*13*17*19*23=223092870

1322554958713+2861998*223092870*0=1322554958713
1322554958713+2861998*223092870*1=639813902712973
1322554958713+2861998*223092870*2=1278305250467233
1322554958713+2861998*223092870*3=1916796598221493
1322554958713+2861998*223092870*4=2555287945975753
1322554958713+2861998*223092870*5=3193779293730013
1322554958713+2861998*223092870*6=3832270641484273
1322554958713+2861998*223092870*7=4470761989238533
1322554958713+2861998*223092870*8=5109253336992793
1322554958713+2861998*223092870*9=5747744684747053
1322554958713+2861998*223092870*10=6386236032501313
1322554958713+2861998*223092870*11=7024727380255573
1322554958713+2861998*223092870*12=7663218728009833
1322554958713+2861998*223092870*13=8301710075764093
1322554958713+2861998*223092870*14=8940201423518353
1322554958713+2861998*223092870*15=9578692771272613
1322554958713+2861998*223092870*16=10217184119026873
1322554958713+2861998*223092870*17=10855675466781133
1322554958713+2861998*223092870*18=11494166814535393
1322554958713+2861998*223092870*19=12132658162289653
1322554958713+2861998*223092870*20=12771149510043913
1322554958713+2861998*223092870*21=13409640857798173
____________

New AP23

A new record AP23 (Arithmetic Progression of 23 primes) has been found. It is the AP23 with smallest known start 20389023122473, the previous record being 43760869165417 (2008, Raanan Chermoni & Jaroslaw Wroblewski). The finder is Eric Markle (Nikodemus) of the United States. He is a member of the BOINCstats team.

The AP23 was returned a while ago. Therefore, the WU has been purged and the details of time and computer specs are unknown.

The progression is written as 20389023122473+5785546*23#*n for n=0..22. Credits are as follows:

Finder: Eric Markle
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP23 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• Smallest AP-k with minimal start
  
• Record history for smallest AP-k with minimal start
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 23 terms of the AP23
20389023122473+5785546*23#*n for n=0..22

23#=2*3*5*7*11*13*17*19*23=223092870

20389023122473+5785546*223092870*0=20389023122473
20389023122473+5785546*223092870*1=1311103084779493
20389023122473+5785546*223092870*2=2601817146436513
20389023122473+5785546*223092870*3=3892531208093533
20389023122473+5785546*223092870*4=5183245269750553
20389023122473+5785546*223092870*5=6473959331407573
20389023122473+5785546*223092870*6=7764673393064593
20389023122473+5785546*223092870*7=9055387454721613
20389023122473+5785546*223092870*8=10346101516378633
20389023122473+5785546*223092870*9=11636815578035653
20389023122473+5785546*223092870*10=12927529639692673
20389023122473+5785546*223092870*11=14218243701349693
20389023122473+5785546*223092870*12=15508957763006713
20389023122473+5785546*223092870*13=16799671824663733
20389023122473+5785546*223092870*14=18090385886320753
20389023122473+5785546*223092870*15=19381099947977773
20389023122473+5785546*223092870*16=20671814009634793
20389023122473+5785546*223092870*17=21962528071291813
20389023122473+5785546*223092870*18=23253242132948833
20389023122473+5785546*223092870*19=24543956194605853
20389023122473+5785546*223092870*20=25834670256262873
20389023122473+5785546*223092870*21=27125384317919893
20389023122473+5785546*223092870*22=28416098379576913
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 60312982868878297 surpassing the old record of 25490711550130537 (2009, Andreas Kobara, PrimeGrid, AP26). The finder is Anonymous (AF>XTBA Pitheque) of France. He is a member of the L'Alliance Francophone team.

The AP24 was returned on 29 Jun 2009 15:41:58 UTC. It was found by an AMD Athlon64 X2 3800+ running 64 bit Windows 7. It took about 15 minutes 45 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 14992521666441877+8832442*23#*n for n=0..23. Credits are as follows:

Finder: Anonymous (AF>XTBA Pitheque)
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
14992521666441877+8832442*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

14992521666441877+8832442*223092870*0=14992521666441877
14992521666441877+8832442*223092870*1=16962976501330417
14992521666441877+8832442*223092870*2=18933431336218957
14992521666441877+8832442*223092870*3=20903886171107497
14992521666441877+8832442*223092870*4=22874341005996037
14992521666441877+8832442*223092870*5=24844795840884577
14992521666441877+8832442*223092870*6=26815250675773117
14992521666441877+8832442*223092870*7=28785705510661657
14992521666441877+8832442*223092870*8=30756160345550197
14992521666441877+8832442*223092870*9=32726615180438737
14992521666441877+8832442*223092870*10=34697070015327277
14992521666441877+8832442*223092870*11=36667524850215817
14992521666441877+8832442*223092870*12=38637979685104357
14992521666441877+8832442*223092870*13=40608434519992897
14992521666441877+8832442*223092870*14=42578889354881437
14992521666441877+8832442*223092870*15=44549344189769977
14992521666441877+8832442*223092870*16=46519799024658517
14992521666441877+8832442*223092870*17=48490253859547057
14992521666441877+8832442*223092870*18=50460708694435597
14992521666441877+8832442*223092870*19=52431163529324137
14992521666441877+8832442*223092870*20=54401618364212677
14992521666441877+8832442*223092870*21=56372073199101217
14992521666441877+8832442*223092870*22=58342528033989757
14992521666441877+8832442*223092870*23=60312982868878297
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 60739320360456407 surpassing the old record of 60312982868878297 (2009, Anonymous, PrimeGrid, AP26). The finder is Carsten Hartwig (SG Arsenic) of the United Kingdom. He is a member of the SETI.Germany team.

The AP24 was returned on 3 Jul 2009 21:13:05 UTC. It was found by an Intel Core2 6400 @ 2.13GHz running 64 bit Linux. It took about 18 minutes 14 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 13432401425380607+9219580*23#*n for n=0..23. Credits are as follows:

Finder: Carsten Hartwig
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
13432401425380607+9219580*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

13432401425380607+9219580*223092870*0=13432401425380607
13432401425380607+9219580*223092870*1=15489223987775207
13432401425380607+9219580*223092870*2=17546046550169807
13432401425380607+9219580*223092870*3=19602869112564407
13432401425380607+9219580*223092870*4=21659691674959007
13432401425380607+9219580*223092870*5=23716514237353607
13432401425380607+9219580*223092870*6=25773336799748207
13432401425380607+9219580*223092870*7=27830159362142807
13432401425380607+9219580*223092870*8=29886981924537407
13432401425380607+9219580*223092870*9=31943804486932007
13432401425380607+9219580*223092870*10=34000627049326607
13432401425380607+9219580*223092870*11=36057449611721207
13432401425380607+9219580*223092870*12=38114272174115807
13432401425380607+9219580*223092870*13=40171094736510407
13432401425380607+9219580*223092870*14=42227917298905007
13432401425380607+9219580*223092870*15=44284739861299607
13432401425380607+9219580*223092870*16=46341562423694207
13432401425380607+9219580*223092870*17=48398384986088807
13432401425380607+9219580*223092870*18=50455207548483407
13432401425380607+9219580*223092870*19=52512030110878007
13432401425380607+9219580*223092870*20=54568852673272607
13432401425380607+9219580*223092870*21=56625675235667207
13432401425380607+9219580*223092870*22=58682497798061807
13432401425380607+9219580*223092870*23=60739320360456407
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Paweł Feruś (mindc) of Poland. He is a member of the BOINC@Poland team.

The AP24 was returned on 5 Jul 2009 15:06:36 UTC. It was found by an Intel Celeron (Coppermine) @ 325MHz running 32 bit Linux. It took about 2 hours 16 minutes to process the WU (each WU tests 3 progression differences).

The progression is written as 5531900872160491+9383796*23#*n for n=0..23. Credits are as follows:

Finder: Paweł Feruś
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
5531900872160491+9383796*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

5531900872160491+9383796*223092870*0=5531900872160491
5531900872160491+9383796*223092870*1=7625358853295011
5531900872160491+9383796*223092870*2=9718816834429531
5531900872160491+9383796*223092870*3=11812274815564051
5531900872160491+9383796*223092870*4=13905732796698571
5531900872160491+9383796*223092870*5=15999190777833091
5531900872160491+9383796*223092870*6=18092648758967611
5531900872160491+9383796*223092870*7=20186106740102131
5531900872160491+9383796*223092870*8=22279564721236651
5531900872160491+9383796*223092870*9=24373022702371171
5531900872160491+9383796*223092870*10=26466480683505691
5531900872160491+9383796*223092870*11=28559938664640211
5531900872160491+9383796*223092870*12=30653396645774731
5531900872160491+9383796*223092870*13=32746854626909251
5531900872160491+9383796*223092870*14=34840312608043771
5531900872160491+9383796*223092870*15=36933770589178291
5531900872160491+9383796*223092870*16=39027228570312811
5531900872160491+9383796*223092870*17=41120686551447331
5531900872160491+9383796*223092870*18=43214144532581851
5531900872160491+9383796*223092870*19=45307602513716371
5531900872160491+9383796*223092870*20=47401060494850891
5531900872160491+9383796*223092870*21=49494518475985411
5531900872160491+9383796*223092870*22=51587976457119931
5531900872160491+9383796*223092870*23=53681434438254451
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the AP24 with smallest known start 39421708111691, the previous record being 167806194923077 (2009, Andreas Kobara, PrimeGrid, AP26). The finder is Mark Codding (Narwhal) of the United States. He is a member of Team Picard.

The AP24 was returned on 9 Jul 2009 5:54:42 UTC. It was found by an Intel Core2 Extreme X9770 @ 3.20GHz running 32 bit Windows XP Home Edition. It took about 20 minutes 11 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 39421708111691+9740894*23#*n for n=0..23. Credits are as follows:

Finder: Mark Codding
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• Smallest AP-k with minimal start
  
• Record history for smallest AP-k with minimal start
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
39421708111691+9740894*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

39421708111691+9740894*223092870*0=39421708111691
39421708111691+9740894*223092870*1=2212545706937471
39421708111691+9740894*223092870*2=4385669705763251
39421708111691+9740894*223092870*3=6558793704589031
39421708111691+9740894*223092870*4=8731917703414811
39421708111691+9740894*223092870*5=10905041702240591
39421708111691+9740894*223092870*6=13078165701066371
39421708111691+9740894*223092870*7=15251289699892151
39421708111691+9740894*223092870*8=17424413698717931
39421708111691+9740894*223092870*9=19597537697543711
39421708111691+9740894*223092870*10=21770661696369491
39421708111691+9740894*223092870*11=23943785695195271
39421708111691+9740894*223092870*12=26116909694021051
39421708111691+9740894*223092870*13=28290033692846831
39421708111691+9740894*223092870*14=30463157691672611
39421708111691+9740894*223092870*15=32636281690498391
39421708111691+9740894*223092870*16=34809405689324171
39421708111691+9740894*223092870*17=36982529688149951
39421708111691+9740894*223092870*18=39155653686975731
39421708111691+9740894*223092870*19=41328777685801511
39421708111691+9740894*223092870*20=43501901684627291
39421708111691+9740894*223092870*21=45675025683453071
39421708111691+9740894*223092870*22=47848149682278851
39421708111691+9740894*223092870*23=50021273681104631
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Bryan Little (mfl0p) of the United States. He is a member of the [H]ard|OCP team.

The AP24 was returned on 11 Jul 2009 14:54:08 UTC. It was found by an Intel Core2 Quad @ 2.40GHz running 64 bit Linux. It took about 15 minutes to process the WU (each WU tests 3 progression differences).

The progression is written as 7979661543967237+9936237*23#*n for n=0..23. Credits are as follows:

Finder: Bryan Little
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
7979661543967237+9936237*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

7979661543967237+9936237*223092870*0=7979661543967237
7979661543967237+9936237*223092870*1=10196365173297427
7979661543967237+9936237*223092870*2=12413068802627617
7979661543967237+9936237*223092870*3=14629772431957807
7979661543967237+9936237*223092870*4=16846476061287997
7979661543967237+9936237*223092870*5=19063179690618187
7979661543967237+9936237*223092870*6=21279883319948377
7979661543967237+9936237*223092870*7=23496586949278567
7979661543967237+9936237*223092870*8=25713290578608757
7979661543967237+9936237*223092870*9=27929994207938947
7979661543967237+9936237*223092870*10=30146697837269137
7979661543967237+9936237*223092870*11=32363401466599327
7979661543967237+9936237*223092870*12=34580105095929517
7979661543967237+9936237*223092870*13=36796808725259707
7979661543967237+9936237*223092870*14=39013512354589897
7979661543967237+9936237*223092870*15=41230215983920087
7979661543967237+9936237*223092870*16=43446919613250277
7979661543967237+9936237*223092870*17=45663623242580467
7979661543967237+9936237*223092870*18=47880326871910657
7979661543967237+9936237*223092870*19=50097030501240847
7979661543967237+9936237*223092870*20=52313734130571037
7979661543967237+9936237*223092870*21=54530437759901227
7979661543967237+9936237*223092870*22=56747141389231417
7979661543967237+9936237*223092870*23=58963845018561607
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Carsten Hartwig (SG Arsenic) of the United Kingdom. He is a member of the SETI.Germany team.

The AP24 was returned on 17 Jul 2009 14:03:11 UTC. It was found by an Intel Pentium 4 @ 3.4 GHz running 64 bit Linux. It took about 34 minutes 37 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 19516186145019209+313705*23#*n for n=0..23. Credits are as follows:

Finder: Carsten Hartwig
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
19516186145019209+313705*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

19516186145019209+313705*223092870*0=19516186145019209
19516186145019209+313705*223092870*1=19586171493802559
19516186145019209+313705*223092870*2=19656156842585909
19516186145019209+313705*223092870*3=19726142191369259
19516186145019209+313705*223092870*4=19796127540152609
19516186145019209+313705*223092870*5=19866112888935959
19516186145019209+313705*223092870*6=19936098237719309
19516186145019209+313705*223092870*7=20006083586502659
19516186145019209+313705*223092870*8=20076068935286009
19516186145019209+313705*223092870*9=20146054284069359
19516186145019209+313705*223092870*10=20216039632852709
19516186145019209+313705*223092870*11=20286024981636059
19516186145019209+313705*223092870*12=20356010330419409
19516186145019209+313705*223092870*13=20425995679202759
19516186145019209+313705*223092870*14=20495981027986109
19516186145019209+313705*223092870*15=20565966376769459
19516186145019209+313705*223092870*16=20635951725552809
19516186145019209+313705*223092870*17=20705937074336159
19516186145019209+313705*223092870*18=20775922423119509
19516186145019209+313705*223092870*19=20845907771902859
19516186145019209+313705*223092870*20=20915893120686209
19516186145019209+313705*223092870*21=20985878469469559
19516186145019209+313705*223092870*22=21055863818252909
19516186145019209+313705*223092870*23=21125849167036259
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 62869009767207037 surpassing the old record of 60739320360456407 (2009, Carsten Hartwig, PrimeGrid, AP26). The finder is Jan-Cornelius Molnar (janm) of Germany.

The AP24 was returned on 18 Jul 2009 7:34:41 UTC. It was found by an Intel Xeon 5130 @ 2.00 GHz running Mac OS X. It took about 16 minutes 50 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 10317962076055027+10241601*23#*n for n=0..23. Credits are as follows:

Finder: Jan-Cornelius Molnar
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
10317962076055027+10241601*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

10317962076055027+10241601*223092870*0=10317962076055027
10317962076055027+10241601*223092870*1=12602790236539897
10317962076055027+10241601*223092870*2=14887618397024767
10317962076055027+10241601*223092870*3=17172446557509637
10317962076055027+10241601*223092870*4=19457274717994507
10317962076055027+10241601*223092870*5=21742102878479377
10317962076055027+10241601*223092870*6=24026931038964247
10317962076055027+10241601*223092870*7=26311759199449117
10317962076055027+10241601*223092870*8=28596587359933987
10317962076055027+10241601*223092870*9=30881415520418857
10317962076055027+10241601*223092870*10=33166243680903727
10317962076055027+10241601*223092870*11=35451071841388597
10317962076055027+10241601*223092870*12=37735900001873467
10317962076055027+10241601*223092870*13=40020728162358337
10317962076055027+10241601*223092870*14=42305556322843207
10317962076055027+10241601*223092870*15=44590384483328077
10317962076055027+10241601*223092870*16=46875212643812947
10317962076055027+10241601*223092870*17=49160040804297817
10317962076055027+10241601*223092870*18=51444868964782687
10317962076055027+10241601*223092870*19=53729697125267557
10317962076055027+10241601*223092870*20=56014525285752427
10317962076055027+10241601*223092870*21=58299353446237297
10317962076055027+10241601*223092870*22=60584181606722167
10317962076055027+10241601*223092870*23=62869009767207037
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Andreas Mohr (andmore) of Germany. He is a member of the SETI.Germany team.

The AP24 was returned on 20 Jul 2009 10:48:55 UTC. It was found by an Intel Xeon E5430 @ 2.66 GHz running Linux 64 bit. It took about 12 minutes 58 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 19471368812966089+410682*23#*n for n=0..23. Credits are as follows:

Finder: Andreas Mohr
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
19471368812966089+410682*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

19471368812966089+410682*223092870*0=19471368812966089
19471368812966089+410682*223092870*1=19562989039003429
19471368812966089+410682*223092870*2=19654609265040769
19471368812966089+410682*223092870*3=19746229491078109
19471368812966089+410682*223092870*4=19837849717115449
19471368812966089+410682*223092870*5=19929469943152789
19471368812966089+410682*223092870*6=20021090169190129
19471368812966089+410682*223092870*7=20112710395227469
19471368812966089+410682*223092870*8=20204330621264809
19471368812966089+410682*223092870*9=20295950847302149
19471368812966089+410682*223092870*10=20387571073339489
19471368812966089+410682*223092870*11=20479191299376829
19471368812966089+410682*223092870*12=20570811525414169
19471368812966089+410682*223092870*13=20662431751451509
19471368812966089+410682*223092870*14=20754051977488849
19471368812966089+410682*223092870*15=20845672203526189
19471368812966089+410682*223092870*16=20937292429563529
19471368812966089+410682*223092870*17=21028912655600869
19471368812966089+410682*223092870*18=21120532881638209
19471368812966089+410682*223092870*19=21212153107675549
19471368812966089+410682*223092870*20=21303773333712889
19471368812966089+410682*223092870*21=21395393559750229
19471368812966089+410682*223092870*22=21487013785787569
19471368812966089+410682*223092870*23=21578634011824909
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Tina Kent (Penguirl) of the United States. She is a member of Team MacNN.

The AP24 was returned on 20 Jul 2009 15:58:44 UTC. It was found by a Power Macintosh running OS X. It took about 71 minutes 33 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 20909681071069667+234797*23#*n for n=0..23. Credits are as follows:

Finder: Tina Kent
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
20909681071069667+234797*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

20909681071069667+234797*223092870*0=20909681071069667
20909681071069667+234797*223092870*1=20962062607667057
20909681071069667+234797*223092870*2=21014444144264447
20909681071069667+234797*223092870*3=21066825680861837
20909681071069667+234797*223092870*4=21119207217459227
20909681071069667+234797*223092870*5=21171588754056617
20909681071069667+234797*223092870*6=21223970290654007
20909681071069667+234797*223092870*7=21276351827251397
20909681071069667+234797*223092870*8=21328733363848787
20909681071069667+234797*223092870*9=21381114900446177
20909681071069667+234797*223092870*10=21433496437043567
20909681071069667+234797*223092870*11=21485877973640957
20909681071069667+234797*223092870*12=21538259510238347
20909681071069667+234797*223092870*13=21590641046835737
20909681071069667+234797*223092870*14=21643022583433127
20909681071069667+234797*223092870*15=21695404120030517
20909681071069667+234797*223092870*16=21747785656627907
20909681071069667+234797*223092870*17=21800167193225297
20909681071069667+234797*223092870*18=21852548729822687
20909681071069667+234797*223092870*19=21904930266420077
20909681071069667+234797*223092870*20=21957311803017467
20909681071069667+234797*223092870*21=22009693339614857
20909681071069667+234797*223092870*22=22062074876212247
20909681071069667+234797*223092870*23=22114456412809637
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Jeffrey D Sessler (Tostada) of the United States. He is a member of team Ars Technica.

The AP24 was returned on 29 Jul 2009 22:00:24 UTC. It was found by an Xeon E5462 @ 2.80GHz running Mac OS X. It took about 12 minutes 02 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 20187352211709911+1799216*23#*n for n=0..23. Credits are as follows:

Finder: Jeffrey D Sessler
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
20187352211709911+1799216*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

20187352211709911+1799216*223092870*0=20187352211709911
20187352211709911+1799216*223092870*1=20588744472899831
20187352211709911+1799216*223092870*2=20990136734089751
20187352211709911+1799216*223092870*3=21391528995279671
20187352211709911+1799216*223092870*4=21792921256469591
20187352211709911+1799216*223092870*5=22194313517659511
20187352211709911+1799216*223092870*6=22595705778849431
20187352211709911+1799216*223092870*7=22997098040039351
20187352211709911+1799216*223092870*8=23398490301229271
20187352211709911+1799216*223092870*9=23799882562419191
20187352211709911+1799216*223092870*10=24201274823609111
20187352211709911+1799216*223092870*11=24602667084799031
20187352211709911+1799216*223092870*12=25004059345988951
20187352211709911+1799216*223092870*13=25405451607178871
20187352211709911+1799216*223092870*14=25806843868368791
20187352211709911+1799216*223092870*15=26208236129558711
20187352211709911+1799216*223092870*16=26609628390748631
20187352211709911+1799216*223092870*17=27011020651938551
20187352211709911+1799216*223092870*18=27412412913128471
20187352211709911+1799216*223092870*19=27813805174318391
20187352211709911+1799216*223092870*20=28215197435508311
20187352211709911+1799216*223092870*21=28616589696698231
20187352211709911+1799216*223092870*22=29017981957888151
20187352211709911+1799216*223092870*23=29419374219078071
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found...the first by a PS3!!! The finder is Paolo Bassi ([FVG] bax) of Italy. He is a member of team BOINC.Italy.

The AP24 was returned on 3 Aug 2009 9:54:50 UTC. PS3's take about 7 minutes 30 secs to process an AP WU (each WU tests 3 progression differences).

The progression is written as 25545151920212759+1140241*23#*n for n=0..23. Credits are as follows:

Finder: Paolo Bassi
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
25545151920212759+1140241*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

25545151920212759+1140241*223092870*0=25545151920212759
25545151920212759+1140241*223092870*1=25799531557394429
25545151920212759+1140241*223092870*2=26053911194576099
25545151920212759+1140241*223092870*3=26308290831757769
25545151920212759+1140241*223092870*4=26562670468939439
25545151920212759+1140241*223092870*5=26817050106121109
25545151920212759+1140241*223092870*6=27071429743302779
25545151920212759+1140241*223092870*7=27325809380484449
25545151920212759+1140241*223092870*8=27580189017666119
25545151920212759+1140241*223092870*9=27834568654847789
25545151920212759+1140241*223092870*10=28088948292029459
25545151920212759+1140241*223092870*11=28343327929211129
25545151920212759+1140241*223092870*12=28597707566392799
25545151920212759+1140241*223092870*13=28852087203574469
25545151920212759+1140241*223092870*14=29106466840756139
25545151920212759+1140241*223092870*15=29360846477937809
25545151920212759+1140241*223092870*16=29615226115119479
25545151920212759+1140241*223092870*17=29869605752301149
25545151920212759+1140241*223092870*18=30123985389482819
25545151920212759+1140241*223092870*19=30378365026664489
25545151920212759+1140241*223092870*20=30632744663846159
25545151920212759+1140241*223092870*21=30887124301027829
25545151920212759+1140241*223092870*22=31141503938209499
25545151920212759+1140241*223092870*23=31395883575391169
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 81531202836675089 surpassing the old record of 62869009767207037 (2009, Jan-Cornelius Molnar, PrimeGrid, AP26). The finder is Bryan Little (mfl0p) of the United States. He is a member of the [H]ard|OCP team.

The AP24 was returned on 23 Aug 2009 0:40:25 UTC. It was found by a PS3. It took about 5 minutes 30 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 13678065943093049+13223804*23#*n for n=0..23. Credits are as follows:

Finder: Bryan Little
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
13678065943093049+13223804*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

13678065943093049+13223804*223092870*0=13678065943093049
13678065943093049+13223804*223092870*1=16628202329770529
13678065943093049+13223804*223092870*2=19578338716448009
13678065943093049+13223804*223092870*3=22528475103125489
13678065943093049+13223804*223092870*4=25478611489802969
13678065943093049+13223804*223092870*5=28428747876480449
13678065943093049+13223804*223092870*6=31378884263157929
13678065943093049+13223804*223092870*7=34329020649835409
13678065943093049+13223804*223092870*8=37279157036512889
13678065943093049+13223804*223092870*9=40229293423190369
13678065943093049+13223804*223092870*10=43179429809867849
13678065943093049+13223804*223092870*11=46129566196545329
13678065943093049+13223804*223092870*12=49079702583222809
13678065943093049+13223804*223092870*13=52029838969900289
13678065943093049+13223804*223092870*14=54979975356577769
13678065943093049+13223804*223092870*15=57930111743255249
13678065943093049+13223804*223092870*16=60880248129932729
13678065943093049+13223804*223092870*17=63830384516610209
13678065943093049+13223804*223092870*18=66780520903287689
13678065943093049+13223804*223092870*19=69730657289965169
13678065943093049+13223804*223092870*20=72680793676642649
13678065943093049+13223804*223092870*21=75630930063320129
13678065943093049+13223804*223092870*22=78581066449997609
13678065943093049+13223804*223092870*23=81531202836675089
____________

New AP25

A new record AP25 (Arithmetic Progression of 25 primes) has been found. It is only the 3rd known and now largest AP25. It has an ending term of 37814740008933889 surpassing the old record of 15523154536267043 (2009, BOINC@Poland, PrimeGrid, AP26). The finder is Jochen Beck (dh1saj) of Germany. He is a member of the SETI.Germany team.

The AP25 was returned on 1 Sep 2009 19:52:32 UTC. It was found by an Intel Core2 6600 @ 2.40GHz running 64 bit Linux. It took about 13 minutes 4 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 20919497549238289+3155495*23#*n for n=0..24. Credits are as follows:

Finder: Jochen Beck
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP25 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 25 terms of the AP25
20919497549238289+3155495*23#*n for n=0..24

23#=2*3*5*7*11*13*17*19*23=223092870

20919497549238289+3155495*223092870*0=20919497549238289
20919497549238289+3155495*223092870*1=21623465985058939
20919497549238289+3155495*223092870*2=22327434420879589
20919497549238289+3155495*223092870*3=23031402856700239
20919497549238289+3155495*223092870*4=23735371292520889
20919497549238289+3155495*223092870*5=24439339728341539
20919497549238289+3155495*223092870*6=25143308164162189
20919497549238289+3155495*223092870*7=25847276599982839
20919497549238289+3155495*223092870*8=26551245035803489
20919497549238289+3155495*223092870*9=27255213471624139
20919497549238289+3155495*223092870*10=27959181907444789
20919497549238289+3155495*223092870*11=28663150343265439
20919497549238289+3155495*223092870*12=29367118779086089
20919497549238289+3155495*223092870*13=30071087214906739
20919497549238289+3155495*223092870*14=30775055650727389
20919497549238289+3155495*223092870*15=31479024086548039
20919497549238289+3155495*223092870*16=32182992522368689
20919497549238289+3155495*223092870*17=32886960958189339
20919497549238289+3155495*223092870*18=33590929394009989
20919497549238289+3155495*223092870*19=34294897829830639
20919497549238289+3155495*223092870*20=34998866265651289
20919497549238289+3155495*223092870*21=35702834701471939
20919497549238289+3155495*223092870*22=36406803137292589
20919497549238289+3155495*223092870*23=37110771573113239
20919497549238289+3155495*223092870*24=37814740008933889

____________

New AP25

A new record AP25 (Arithmetic Progression of 25 primes) has been found. It is only the 4th known and now largest AP25. It has an ending term of 38271649410634609 surpassing the old record of 37814740008933889 (2009, Jochen Beck, PrimeGrid, AP26). The finder is Keith Dale (GreenFish) of the United States. He is a member of the SETI.USA team.

The AP25 was returned on 7 Sep 2009 17:03:43 UTC. It was found by an Intel i7 920 @ 2.67GHz running 64 bit Microsoft Vista Home Premium. It took about 18 minutes 42 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 18162964758258289+3755664*23#*n for n=0..24. Credits are as follows:

Finder: Keith Dale
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP25 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 25 terms of the AP25
18162964758258289+3755664*23#*n for n=0..24

23#=2*3*5*7*11*13*17*19*23=223092870

18162964758258289+3755664*223092870*0=18162964758258289
18162964758258289+3755664*223092870*1=19000826618773969
18162964758258289+3755664*223092870*2=19838688479289649
18162964758258289+3755664*223092870*3=20676550339805329
18162964758258289+3755664*223092870*4=21514412200321009
18162964758258289+3755664*223092870*5=22352274060836689
18162964758258289+3755664*223092870*6=23190135921352369
18162964758258289+3755664*223092870*7=24027997781868049
18162964758258289+3755664*223092870*8=24865859642383729
18162964758258289+3755664*223092870*9=25703721502899409
18162964758258289+3755664*223092870*10=26541583363415089
18162964758258289+3755664*223092870*11=27379445223930769
18162964758258289+3755664*223092870*12=28217307084446449
18162964758258289+3755664*223092870*13=29055168944962129
18162964758258289+3755664*223092870*14=29893030805477809
18162964758258289+3755664*223092870*15=30730892665993489
18162964758258289+3755664*223092870*16=31568754526509169
18162964758258289+3755664*223092870*17=32406616387024849
18162964758258289+3755664*223092870*18=33244478247540529
18162964758258289+3755664*223092870*19=34082340108056209
18162964758258289+3755664*223092870*20=34920201968571889
18162964758258289+3755664*223092870*21=35758063829087569
18162964758258289+3755664*223092870*22=36595925689603249
18162964758258289+3755664*223092870*23=37433787550118929
18162964758258289+3755664*223092870*24=38271649410634609
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is ([XTBA>TSA] IvanleFou) of France. He is a member of the Xtrem Team Boinc Addicted team.

The AP24 was returned on 12 Sep 2009 0:52:00 UTC. It was found by an Intel Xeon X5560 @ 2.80GHz running 64 bit Linux. It took about 21 minutes 15 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 28263557466746377+3312503*23#*n for n=0..23. Credits are as follows:

Finder: Anonymous
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
28263557466746377+3312503*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

28263557466746377+3312503*223092870*0=28263557466746377
28263557466746377+3312503*223092870*1=29002553267899987
28263557466746377+3312503*223092870*2=29741549069053597
28263557466746377+3312503*223092870*3=30480544870207207
28263557466746377+3312503*223092870*4=31219540671360817
28263557466746377+3312503*223092870*5=31958536472514427
28263557466746377+3312503*223092870*6=32697532273668037
28263557466746377+3312503*223092870*7=33436528074821647
28263557466746377+3312503*223092870*8=34175523875975257
28263557466746377+3312503*223092870*9=34914519677128867
28263557466746377+3312503*223092870*10=35653515478282477
28263557466746377+3312503*223092870*11=36392511279436087
28263557466746377+3312503*223092870*12=37131507080589697
28263557466746377+3312503*223092870*13=37870502881743307
28263557466746377+3312503*223092870*14=38609498682896917
28263557466746377+3312503*223092870*15=39348494484050527
28263557466746377+3312503*223092870*16=40087490285204137
28263557466746377+3312503*223092870*17=40826486086357747
28263557466746377+3312503*223092870*18=41565481887511357
28263557466746377+3312503*223092870*19=42304477688664967
28263557466746377+3312503*223092870*20=43043473489818577
28263557466746377+3312503*223092870*21=43782469290972187
28263557466746377+3312503*223092870*22=44521465092125797
28263557466746377+3312503*223092870*23=45260460893279407
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Karsten Hilbich (Karsten Hilbich) of Germany.

The AP24 was returned on 6 Sep 2009 10:44:00 UTC. It was found by an Intel i7 CPU 920 @ 2.67GHz running 64 bit Linux. It took about 22 minutes 20 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 18038585883263339+3679127*23#*n for n=0..23. Credits are as follows:

Finder: Karsten Hilbich
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
18038585883263339+3679127*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

18038585883263339+3679127*223092870*0=18038585883263339
18038585883263339+3679127*223092870*1=18859372884787829
18038585883263339+3679127*223092870*2=19680159886312319
18038585883263339+3679127*223092870*3=20500946887836809
18038585883263339+3679127*223092870*4=21321733889361299
18038585883263339+3679127*223092870*5=22142520890885789
18038585883263339+3679127*223092870*6=22963307892410279
18038585883263339+3679127*223092870*7=23784094893934769
18038585883263339+3679127*223092870*8=24604881895459259
18038585883263339+3679127*223092870*9=25425668896983749
18038585883263339+3679127*223092870*10=26246455898508239
18038585883263339+3679127*223092870*11=27067242900032729
18038585883263339+3679127*223092870*12=27888029901557219
18038585883263339+3679127*223092870*13=28708816903081709
18038585883263339+3679127*223092870*14=29529603904606199
18038585883263339+3679127*223092870*15=30350390906130689
18038585883263339+3679127*223092870*16=31171177907655179
18038585883263339+3679127*223092870*17=31991964909179669
18038585883263339+3679127*223092870*18=32812751910704159
18038585883263339+3679127*223092870*19=33633538912228649
18038585883263339+3679127*223092870*20=34454325913753139
18038585883263339+3679127*223092870*21=35275112915277629
18038585883263339+3679127*223092870*22=36095899916802119
18038585883263339+3679127*223092870*23=36916686918326609
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 82761689028005821 surpassing the old record of 81531202836675089 (2009, Bryan Little, PrimeGrid, AP26). The finder is Kevin Erickson (Kevin Erickson) of the United States. He is a member of the BOINCstats team.

The AP24 was returned on 13 Sep 2009 23:26:58 UTC. It was found by an Intel Pentium 4 @ 3.00GHz running 32 bit Linux. It took about 36 minutes 12 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 10307159737232191+14120563*23#*n for n=0..23. Credits are as follows:

Finder: Kevin Erickson
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
10307159737232191+14120563*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

10307159737232191+14120563*223092870*0=10307159737232191
10307159737232191+14120563*223092870*1=13457356662918001
10307159737232191+14120563*223092870*2=16607553588603811
10307159737232191+14120563*223092870*3=19757750514289621
10307159737232191+14120563*223092870*4=22907947439975431
10307159737232191+14120563*223092870*5=26058144365661241
10307159737232191+14120563*223092870*6=29208341291347051
10307159737232191+14120563*223092870*7=32358538217032861
10307159737232191+14120563*223092870*8=35508735142718671
10307159737232191+14120563*223092870*9=38658932068404481
10307159737232191+14120563*223092870*10=41809128994090291
10307159737232191+14120563*223092870*11=44959325919776101
10307159737232191+14120563*223092870*12=48109522845461911
10307159737232191+14120563*223092870*13=51259719771147721
10307159737232191+14120563*223092870*14=54409916696833531
10307159737232191+14120563*223092870*15=57560113622519341
10307159737232191+14120563*223092870*16=60710310548205151
10307159737232191+14120563*223092870*17=63860507473890961
10307159737232191+14120563*223092870*18=67010704399576771
10307159737232191+14120563*223092870*19=70160901325262581
10307159737232191+14120563*223092870*20=73311098250948391
10307159737232191+14120563*223092870*21=76461295176634201
10307159737232191+14120563*223092870*22=79611492102320011
10307159737232191+14120563*223092870*23=82761689028005821
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is ([XTBA>TSA] IvanleFou) of France. He is a member of the Xtrem Team Boinc Addicted team.

The AP24 was returned on 15 Sep 2009 4:04:47 UTC. It was found by an Intel Xeon X5560 @ 2.80GHz running 64 bit Linux. It took about 21 minutes 2 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 2635631384342027+14133381*23#*n for n=0..23. Credits are as follows:

Finder: Anonymous
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
2635631384342027+14133381*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

2635631384342027+14133381*223092870*0=2635631384342027
2635631384342027+14133381*223092870*1=5788687914435497
2635631384342027+14133381*223092870*2=8941744444528967
2635631384342027+14133381*223092870*3=12094800974622437
2635631384342027+14133381*223092870*4=15247857504715907
2635631384342027+14133381*223092870*5=18400914034809377
2635631384342027+14133381*223092870*6=21553970564902847
2635631384342027+14133381*223092870*7=24707027094996317
2635631384342027+14133381*223092870*8=27860083625089787
2635631384342027+14133381*223092870*9=31013140155183257
2635631384342027+14133381*223092870*10=34166196685276727
2635631384342027+14133381*223092870*11=37319253215370197
2635631384342027+14133381*223092870*12=40472309745463667
2635631384342027+14133381*223092870*13=43625366275557137
2635631384342027+14133381*223092870*14=46778422805650607
2635631384342027+14133381*223092870*15=49931479335744077
2635631384342027+14133381*223092870*16=53084535865837547
2635631384342027+14133381*223092870*17=56237592395931017
2635631384342027+14133381*223092870*18=59390648926024487
2635631384342027+14133381*223092870*19=62543705456117957
2635631384342027+14133381*223092870*20=65696761986211427
2635631384342027+14133381*223092870*21=68849818516304897
2635631384342027+14133381*223092870*22=72002875046398367
2635631384342027+14133381*223092870*23=75155931576491837
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Martin Siegrist (sigi67) of Switzerland. He is a member of the SwissTeam.NET team.

The AP24 was returned on 15 Sep 2009 10:01:12 UTC. It was found by a PS3. It took about 5 minutes 30 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 1220728403569963+14348016*23#*n for n=0..23. Credits are as follows:

Finder: Martin Siegrist
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
1220728403569963+14348016*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

1220728403569963+14348016*223092870*0=1220728403569963
1220728403569963+14348016*223092870*1=4421668471815883
1220728403569963+14348016*223092870*2=7622608540061803
1220728403569963+14348016*223092870*3=10823548608307723
1220728403569963+14348016*223092870*4=14024488676553643
1220728403569963+14348016*223092870*5=17225428744799563
1220728403569963+14348016*223092870*6=20426368813045483
1220728403569963+14348016*223092870*7=23627308881291403
1220728403569963+14348016*223092870*8=26828248949537323
1220728403569963+14348016*223092870*9=30029189017783243
1220728403569963+14348016*223092870*10=33230129086029163
1220728403569963+14348016*223092870*11=36431069154275083
1220728403569963+14348016*223092870*12=39632009222521003
1220728403569963+14348016*223092870*13=42832949290766923
1220728403569963+14348016*223092870*14=46033889359012843
1220728403569963+14348016*223092870*15=49234829427258763
1220728403569963+14348016*223092870*16=52435769495504683
1220728403569963+14348016*223092870*17=55636709563750603
1220728403569963+14348016*223092870*18=58837649631996523
1220728403569963+14348016*223092870*19=62038589700242443
1220728403569963+14348016*223092870*20=65239529768488363
1220728403569963+14348016*223092870*21=68440469836734283
1220728403569963+14348016*223092870*22=71641409904980203
1220728403569963+14348016*223092870*23=74842349973226123
____________

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Danial L Puckett (Danial L Puckett) of the United States. He is a member of the Solar Extreme team.

The progression is written as 24676336785406967+5024493*23#*n for n=0..23. Credits are as follows:

Finder: Danial L Puckett
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
24676336785406967+5024493*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

24676336785406967+5024493*223092870*0=24676336785406967
24676336785406967+5024493*223092870*1=25797265349071877
24676336785406967+5024493*223092870*2=26918193912736787
24676336785406967+5024493*223092870*3=28039122476401697
24676336785406967+5024493*223092870*4=29160051040066607
24676336785406967+5024493*223092870*5=30280979603731517
24676336785406967+5024493*223092870*6=31401908167396427
24676336785406967+5024493*223092870*7=32522836731061337
24676336785406967+5024493*223092870*8=33643765294726247
24676336785406967+5024493*223092870*9=34764693858391157
24676336785406967+5024493*223092870*10=35885622422056067
24676336785406967+5024493*223092870*11=37006550985720977
24676336785406967+5024493*223092870*12=38127479549385887
24676336785406967+5024493*223092870*13=39248408113050797
24676336785406967+5024493*223092870*14=40369336676715707
24676336785406967+5024493*223092870*15=41490265240380617
24676336785406967+5024493*223092870*16=42611193804045527
24676336785406967+5024493*223092870*17=43732122367710437
24676336785406967+5024493*223092870*18=44853050931375347
24676336785406967+5024493*223092870*19=45973979495040257
24676336785406967+5024493*223092870*20=47094908058705167
24676336785406967+5024493*223092870*21=48215836622370077
24676336785406967+5024493*223092870*22=49336765186034987
24676336785406967+5024493*223092870*23=50457693749699897

____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 83286253012572277 surpassing the old record of 82761689028005821 (2009, Kevin Erickson, PrimeGrid, AP26). The finder is John S Morris III (K7DMA) of the United States.

The AP24 was returned on 4 Oct 2009 21:12:31 UTC. It was found by an Intel 0000 (?) @ 2.40GHz running 64 bit Linux. It took about 13 minutes 44 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 3193781476385167+15609111*23#*n for n=0..23. Credits are as follows:

Finder: John S Morris III
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
3193781476385167+15609111*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

3193781476385167+15609111*223092870*0=3193781476385167
3193781476385167+15609111*223092870*1=6676062847523737
3193781476385167+15609111*223092870*2=10158344218662307
3193781476385167+15609111*223092870*3=13640625589800877
3193781476385167+15609111*223092870*4=17122906960939447
3193781476385167+15609111*223092870*5=20605188332078017
3193781476385167+15609111*223092870*6=24087469703216587
3193781476385167+15609111*223092870*7=27569751074355157
3193781476385167+15609111*223092870*8=31052032445493727
3193781476385167+15609111*223092870*9=34534313816632297
3193781476385167+15609111*223092870*10=38016595187770867
3193781476385167+15609111*223092870*11=41498876558909437
3193781476385167+15609111*223092870*12=44981157930048007
3193781476385167+15609111*223092870*13=48463439301186577
3193781476385167+15609111*223092870*14=51945720672325147
3193781476385167+15609111*223092870*15=55428002043463717
3193781476385167+15609111*223092870*16=58910283414602287
3193781476385167+15609111*223092870*17=62392564785740857
3193781476385167+15609111*223092870*18=65874846156879427
3193781476385167+15609111*223092870*19=69357127528017997
3193781476385167+15609111*223092870*20=72839408899156567
3193781476385167+15609111*223092870*21=76321690270295137
3193781476385167+15609111*223092870*22=79803971641433707
3193781476385167+15609111*223092870*23=83286253012572277
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 84418532426419063 surpassing the previous record of 83286253012572277 (2009, John S Morris III, PrimeGrid, AP26). The finder is Anonymous (Rebirther) of Germany. He is a member of the BOINC Confederation team.

The progression is written as 4187489431145893+15636117*23#*n for n=0..23. Credits are as follows:

Finder: Anonymous
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
4187489431145893+15636117*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

4187489431145893+15636117*223092870*0=4187489431145893
4187489431145893+15636117*223092870*1=7675795648331683
4187489431145893+15636117*223092870*2=11164101865517473
4187489431145893+15636117*223092870*3=14652408082703263
4187489431145893+15636117*223092870*4=18140714299889053
4187489431145893+15636117*223092870*5=21629020517074843
4187489431145893+15636117*223092870*6=25117326734260633
4187489431145893+15636117*223092870*7=28605632951446423
4187489431145893+15636117*223092870*8=32093939168632213
4187489431145893+15636117*223092870*9=35582245385818003
4187489431145893+15636117*223092870*10=39070551603003793
4187489431145893+15636117*223092870*11=42558857820189583
4187489431145893+15636117*223092870*12=46047164037375373
4187489431145893+15636117*223092870*13=49535470254561163
4187489431145893+15636117*223092870*14=53023776471746953
4187489431145893+15636117*223092870*15=56512082688932743
4187489431145893+15636117*223092870*16=60000388906118533
4187489431145893+15636117*223092870*17=63488695123304323
4187489431145893+15636117*223092870*18=66977001340490113
4187489431145893+15636117*223092870*19=70465307557675903
4187489431145893+15636117*223092870*20=73953613774861693
4187489431145893+15636117*223092870*21=77441919992047483
4187489431145893+15636117*223092870*22=80930226209233273
4187489431145893+15636117*223092870*23=84418532426419063

____________

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Krzysztof Koczubik (ksysju) of Poland. He is a member of BOINC@Poland.

The AP24 was returned on 9 Oct 2009 10:46:58 UTC. It was found by an Intel Q9450 @ 2.66GHz running 64 bit Linux. It took about 7 minutes 35 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 18567190093510343+5352686*23#*n for n=0..23. Credits are as follows:

Finder: Krzysztof Koczubik
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
18567190093510343+5352686*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

18567190093510343+5352686*223092870*0=18567190093510343
18567190093510343+5352686*223092870*1=19761336175459163
18567190093510343+5352686*223092870*2=20955482257407983
18567190093510343+5352686*223092870*3=22149628339356803
18567190093510343+5352686*223092870*4=23343774421305623
18567190093510343+5352686*223092870*5=24537920503254443
18567190093510343+5352686*223092870*6=25732066585203263
18567190093510343+5352686*223092870*7=26926212667152083
18567190093510343+5352686*223092870*8=28120358749100903
18567190093510343+5352686*223092870*9=29314504831049723
18567190093510343+5352686*223092870*10=30508650912998543
18567190093510343+5352686*223092870*11=31702796994947363
18567190093510343+5352686*223092870*12=32896943076896183
18567190093510343+5352686*223092870*13=34091089158845003
18567190093510343+5352686*223092870*14=35285235240793823
18567190093510343+5352686*223092870*15=36479381322742643
18567190093510343+5352686*223092870*16=37673527404691463
18567190093510343+5352686*223092870*17=38867673486640283
18567190093510343+5352686*223092870*18=40061819568589103
18567190093510343+5352686*223092870*19=41255965650537923
18567190093510343+5352686*223092870*20=42450111732486743
18567190093510343+5352686*223092870*21=43644257814435563
18567190093510343+5352686*223092870*22=44838403896384383
18567190093510343+5352686*223092870*23=46032549978333203
____________

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Anonymous (Curly) of Germany. He is a member of BOINCstats.

The AP24 was returned on 11 Oct 2009 6:02:12 UTC. It was found by an Intel E6750 @ 2.66GHz running 64 bit Linux. It took about 8 minutes 53 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 26851278717686693+5551454*23#*n for n=0..23. Credits are as follows:

Finder: Anonymous
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds. Other improvements/builds provided by:

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
26851278717686693+5551454*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

26851278717686693+5551454*223092870*0=26851278717686693
26851278717686693+5551454*223092870*1=28089768523219673
26851278717686693+5551454*223092870*2=29328258328752653
26851278717686693+5551454*223092870*3=30566748134285633
26851278717686693+5551454*223092870*4=31805237939818613
26851278717686693+5551454*223092870*5=33043727745351593
26851278717686693+5551454*223092870*6=34282217550884573
26851278717686693+5551454*223092870*7=35520707356417553
26851278717686693+5551454*223092870*8=36759197161950533
26851278717686693+5551454*223092870*9=37997686967483513
26851278717686693+5551454*223092870*10=39236176773016493
26851278717686693+5551454*223092870*11=40474666578549473
26851278717686693+5551454*223092870*12=41713156384082453
26851278717686693+5551454*223092870*13=42951646189615433
26851278717686693+5551454*223092870*14=44190135995148413
26851278717686693+5551454*223092870*15=45428625800681393
26851278717686693+5551454*223092870*16=46667115606214373
26851278717686693+5551454*223092870*17=47905605411747353
26851278717686693+5551454*223092870*18=49144095217280333
26851278717686693+5551454*223092870*19=50382585022813313
26851278717686693+5551454*223092870*20=51621074828346293
26851278717686693+5551454*223092870*21=52859564633879273
26851278717686693+5551454*223092870*22=54098054439412253
26851278717686693+5551454*223092870*23=55336544244945233
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Pietari Snow (Lumiukko) of Finland. He is a member of the PrimeSearchTeam.

The AP24 was returned on 15 Oct 2009 17:32:27 UTC. It was found by a PS3. It took about 5 minutes 30 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 28453270488159667+6183387*23#*n for n=0..23. Credits are as follows:

Finder: Pietari Snow
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds. Other improvements/builds provided by:

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
28453270488159667+6183387*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

28453270488159667+6183387*223092870*0=28453270488159667
28453270488159667+6183387*223092870*1=29832740040310357
28453270488159667+6183387*223092870*2=31212209592461047
28453270488159667+6183387*223092870*3=32591679144611737
28453270488159667+6183387*223092870*4=33971148696762427
28453270488159667+6183387*223092870*5=35350618248913117
28453270488159667+6183387*223092870*6=36730087801063807
28453270488159667+6183387*223092870*7=38109557353214497
28453270488159667+6183387*223092870*8=39489026905365187
28453270488159667+6183387*223092870*9=40868496457515877
28453270488159667+6183387*223092870*10=42247966009666567
28453270488159667+6183387*223092870*11=43627435561817257
28453270488159667+6183387*223092870*12=45006905113967947
28453270488159667+6183387*223092870*13=46386374666118637
28453270488159667+6183387*223092870*14=47765844218269327
28453270488159667+6183387*223092870*15=49145313770420017
28453270488159667+6183387*223092870*16=50524783322570707
28453270488159667+6183387*223092870*17=51904252874721397
28453270488159667+6183387*223092870*18=53283722426872087
28453270488159667+6183387*223092870*19=54663191979022777
28453270488159667+6183387*223092870*20=56042661531173467
28453270488159667+6183387*223092870*21=57422131083324157
28453270488159667+6183387*223092870*22=58801600635474847
28453270488159667+6183387*223092870*23=60181070187625537
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 90769015637524109 surpassing the previous record of 84418532426419063 (2009, Anonymous, PrimeGrid, AP26). The finder is Ian Dickinson (Vato) of the United Kingdom. He is a member of Team-Goobee.org.

The AP24 was returned on 29 Oct 2009 17:41:04 UTC. It was found by an Intel Pentium III @ 1266MHz running 32 bit Linux. It took about 1 hour 20 minutes 28 seconds to process the WU (each WU tests 6 progression differences). A nice find for all the old timers (legacy systems) out there. :)

The progression is written as 3634080452156039+16981607*23#*n for n=0..23. Credits are as follows:

Finder: Ian Dickinson
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
3634080452156039+16981607*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

3634080452156039+16981607*223092870*0=3634080452156039
3634080452156039+16981607*223092870*1=7422555894998129
3634080452156039+16981607*223092870*2=11211031337840219
3634080452156039+16981607*223092870*3=14999506780682309
3634080452156039+16981607*223092870*4=18787982223524399
3634080452156039+16981607*223092870*5=22576457666366489
3634080452156039+16981607*223092870*6=26364933109208579
3634080452156039+16981607*223092870*7=30153408552050669
3634080452156039+16981607*223092870*8=33941883994892759
3634080452156039+16981607*223092870*9=37730359437734849
3634080452156039+16981607*223092870*10=41518834880576939
3634080452156039+16981607*223092870*11=45307310323419029
3634080452156039+16981607*223092870*12=49095785766261119
3634080452156039+16981607*223092870*13=52884261209103209
3634080452156039+16981607*223092870*14=56672736651945299
3634080452156039+16981607*223092870*15=60461212094787389
3634080452156039+16981607*223092870*16=64249687537629479
3634080452156039+16981607*223092870*17=68038162980471569
3634080452156039+16981607*223092870*18=71826638423313659
3634080452156039+16981607*223092870*19=75615113866155749
3634080452156039+16981607*223092870*20=79403589308997839
3634080452156039+16981607*223092870*21=83192064751839929
3634080452156039+16981607*223092870*22=86980540194682019
3634080452156039+16981607*223092870*23=90769015637524109
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 93004136079654607 surpassing the previous record of 90769015637524109 (2009, Dickinson, PrimeGrid, AP26). The finder is Chris Wingate (skinny9699) of the United States. He is a member of the Ubuntu Linux team.

The AP24 was returned on 2 Nov 2009 0:45:46 UTC. It was found by an AMD Turion 64 X2 TL-56 @ 1800MHz running 32 bit Windows. It took about 1 hour 27 minutes 7 seconds to process the WU (each WU tests 6 progression differences).

The progression is written as 1948053460212667+17745794*23#*n for n=0..23. Credits are as follows:

Finder: Chris Wingate
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
1948053460212667+17745794*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

1948053460212667+17745794*223092870*0=1948053460212667
1948053460212667+17745794*223092870*1=5907013574101447
1948053460212667+17745794*223092870*2=9865973687990227
1948053460212667+17745794*223092870*3=13824933801879007
1948053460212667+17745794*223092870*4=17783893915767787
1948053460212667+17745794*223092870*5=21742854029656567
1948053460212667+17745794*223092870*6=25701814143545347
1948053460212667+17745794*223092870*7=29660774257434127
1948053460212667+17745794*223092870*8=33619734371322907
1948053460212667+17745794*223092870*9=37578694485211687
1948053460212667+17745794*223092870*10=41537654599100467
1948053460212667+17745794*223092870*11=45496614712989247
1948053460212667+17745794*223092870*12=49455574826878027
1948053460212667+17745794*223092870*13=53414534940766807
1948053460212667+17745794*223092870*14=57373495054655587
1948053460212667+17745794*223092870*15=61332455168544367
1948053460212667+17745794*223092870*16=65291415282433147
1948053460212667+17745794*223092870*17=69250375396321927
1948053460212667+17745794*223092870*18=73209335510210707
1948053460212667+17745794*223092870*19=77168295624099487
1948053460212667+17745794*223092870*20=81127255737988267
1948053460212667+17745794*223092870*21=85086215851877047
1948053460212667+17745794*223092870*22=89045175965765827
1948053460212667+17745794*223092870*23=93004136079654607
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 98090802848850701 surpassing the previous record of 93004136079654607 (2009, Wingate, PrimeGrid, AP26). The finder is Marcus Rosario (Ritzgit) of the United States. He is a member of the Gay USA team.

The AP24 was returned on 7 Nov 2009 16:08:55 UTC. It was found by an Intel Celeron E1200 @ 1.60GHz running 32 bit Windows 7. It took about 55 minutes 33 seconds to process the WU (each WU tests 6 progression differences).

The progression is written as 4687877159107031+18203167*23#*n for n=0..23. Credits are as follows:

Finder: Marcus Rosario
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
4687877159107031+18203167*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

4687877159107031+18203167*223092870*1=8748873928226321
4687877159107031+18203167*223092870*2=12809870697345611
4687877159107031+18203167*223092870*3=16870867466464901
4687877159107031+18203167*223092870*4=20931864235584191
4687877159107031+18203167*223092870*5=24992861004703481
4687877159107031+18203167*223092870*6=29053857773822771
4687877159107031+18203167*223092870*7=33114854542942061
4687877159107031+18203167*223092870*8=37175851312061351
4687877159107031+18203167*223092870*9=41236848081180641
4687877159107031+18203167*223092870*10=45297844850299931
4687877159107031+18203167*223092870*11=49358841619419221
4687877159107031+18203167*223092870*12=53419838388538511
4687877159107031+18203167*223092870*13=57480835157657801
4687877159107031+18203167*223092870*14=61541831926777091
4687877159107031+18203167*223092870*15=65602828695896381
4687877159107031+18203167*223092870*16=69663825465015671
4687877159107031+18203167*223092870*17=73724822234134961
4687877159107031+18203167*223092870*18=77785819003254251
4687877159107031+18203167*223092870*19=81846815772373541
4687877159107031+18203167*223092870*20=85907812541492831
4687877159107031+18203167*223092870*21=89968809310612121
4687877159107031+18203167*223092870*22=94029806079731411
4687877159107031+18203167*223092870*23=98090802848850701
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 104710589416588949 surpassing the previous record of 98090802848850701 (2009, Rosario, PrimeGrid, AP26). The finder is Roald Solbjørg (Roald) of Norway. He is a member of Team Norway.

The AP24 was returned on 12 Nov 2009 20:15:48 UTC. It was found by a PS3. It took about 11 minutes to process the WU (each WU tests 6 progression differences).

The progression is written as 4891686128805269+19453568*23#*n for n=0..23. Credits are as follows:

Finder: Roald Solbjørg
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
4891686128805269+19453568*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

4891686128805269+19453568*223092870*0=4891686128805269
4891686128805269+19453568*223092870*1=9231638445665429
4891686128805269+19453568*223092870*2=13571590762525589
4891686128805269+19453568*223092870*3=17911543079385749
4891686128805269+19453568*223092870*4=22251495396245909
4891686128805269+19453568*223092870*5=26591447713106069
4891686128805269+19453568*223092870*6=30931400029966229
4891686128805269+19453568*223092870*7=35271352346826389
4891686128805269+19453568*223092870*8=39611304663686549
4891686128805269+19453568*223092870*9=43951256980546709
4891686128805269+19453568*223092870*10=48291209297406869
4891686128805269+19453568*223092870*11=52631161614267029
4891686128805269+19453568*223092870*12=56971113931127189
4891686128805269+19453568*223092870*13=61311066247987349
4891686128805269+19453568*223092870*14=65651018564847509
4891686128805269+19453568*223092870*15=69990970881707669
4891686128805269+19453568*223092870*16=74330923198567829
4891686128805269+19453568*223092870*17=78670875515427989
4891686128805269+19453568*223092870*18=83010827832288149
4891686128805269+19453568*223092870*19=87350780149148309
4891686128805269+19453568*223092870*20=91690732466008469
4891686128805269+19453568*223092870*21=96030684782868629
4891686128805269+19453568*223092870*22=100370637099728789
4891686128805269+19453568*223092870*23=104710589416588949
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Tim Jungbluth (Loewie) of Belgium. He is a member of the BOINC.BE team.

The AP24 was returned on 16 Nov 2009 20:57:01 UTC. It was found by a PS3. It took about 11 minutes to process the WU (each WU tests 6 progression differences).

The progression is written as 26637789112428883+9196753*23#*n for n=0..23. Credits are as follows:

Finder: Tim Jungbluth
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds. Other improvements/builds provided by:

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
26637789112428883+9196753*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

26637789112428883+9196753*223092870*0=26637789112428883
26637789112428883+9196753*223092870*1=28689519133879993
26637789112428883+9196753*223092870*2=30741249155331103
26637789112428883+9196753*223092870*3=32792979176782213
26637789112428883+9196753*223092870*4=34844709198233323
26637789112428883+9196753*223092870*5=36896439219684433
26637789112428883+9196753*223092870*6=38948169241135543
26637789112428883+9196753*223092870*7=40999899262586653
26637789112428883+9196753*223092870*8=43051629284037763
26637789112428883+9196753*223092870*9=45103359305488873
26637789112428883+9196753*223092870*10=47155089326939983
26637789112428883+9196753*223092870*11=49206819348391093
26637789112428883+9196753*223092870*12=51258549369842203
26637789112428883+9196753*223092870*13=53310279391293313
26637789112428883+9196753*223092870*14=55362009412744423
26637789112428883+9196753*223092870*15=57413739434195533
26637789112428883+9196753*223092870*16=59465469455646643
26637789112428883+9196753*223092870*17=61517199477097753
26637789112428883+9196753*223092870*18=63568929498548863
26637789112428883+9196753*223092870*19=65620659519999973
26637789112428883+9196753*223092870*20=67672389541451083
26637789112428883+9196753*223092870*21=69724119562902193
26637789112428883+9196753*223092870*22=71775849584353303
26637789112428883+9196753*223092870*23=73827579605804413
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Senji Yamashita (s-yama) of Japan. He is a member of the Tamagawa Data Center team.

The AP24 was returned on 18 Nov 2009 4:45:17 UTC. It was found by an Intel Q9450 @ 2.66GHz running Linux. It took about 17 minutes to process the WU (each WU tests 6 progression differences).

The progression is written as 17868447568925983+9564699*23#*n for n=0..23. Credits are as follows:

Finder: Senji Yamashita
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds. Other improvements/builds provided by:

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
17868447568925983+9564699*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

17868447568925983+9564699*223092870*0=17868447568925983
17868447568925983+9564699*223092870*1=20002263719522113
17868447568925983+9564699*223092870*2=22136079870118243
17868447568925983+9564699*223092870*3=24269896020714373
17868447568925983+9564699*223092870*4=26403712171310503
17868447568925983+9564699*223092870*5=28537528321906633
17868447568925983+9564699*223092870*6=30671344472502763
17868447568925983+9564699*223092870*7=32805160623098893
17868447568925983+9564699*223092870*8=34938976773695023
17868447568925983+9564699*223092870*9=37072792924291153
17868447568925983+9564699*223092870*10=39206609074887283
17868447568925983+9564699*223092870*11=41340425225483413
17868447568925983+9564699*223092870*12=43474241376079543
17868447568925983+9564699*223092870*13=45608057526675673
17868447568925983+9564699*223092870*14=47741873677271803
17868447568925983+9564699*223092870*15=49875689827867933
17868447568925983+9564699*223092870*16=52009505978464063
17868447568925983+9564699*223092870*17=54143322129060193
17868447568925983+9564699*223092870*18=56277138279656323
17868447568925983+9564699*223092870*19=58410954430252453
17868447568925983+9564699*223092870*20=60544770580848583
17868447568925983+9564699*223092870*21=62678586731444713
17868447568925983+9564699*223092870*22=64812402882040843
17868447568925983+9564699*223092870*23=66946219032636973
____________

New AP25

A new record AP25 (Arithmetic Progression of 25 primes) has been found. It is only the 5th known and now largest AP25. It has an ending term of 52115444782777781 surpassing the old record of 38271649410634609 (2009, Dale, PrimeGrid, AP26). The finder is Ian Dickinson (Vato) of the United Kingdom. He is a member of Team-Goobee.org.

The AP25 was returned on 24 Nov 2009 19:46:49 UTC. It was found by an Intel Pentium III @ 1266MHz running 32 bit Linux. It took about 1 hour 20 minutes 17 seconds to process the WU (each WU tests 6 progression differences).

The progression is written as 46176957093163301+1109121*23#*n for n=0..24. Credits are as follows:

Finder: Ian Dickinson
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds. Other improvements/builds provided by:

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP25 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 25 terms of the AP25
46176957093163301+1109121*23#*n for n=0..24

23#=2*3*5*7*11*13*17*19*23=223092870

46176957093163301+1109121*223092870*0=46176957093163301
46176957093163301+1109121*223092870*1=46424394080230571
46176957093163301+1109121*223092870*2=46671831067297841
46176957093163301+1109121*223092870*3=46919268054365111
46176957093163301+1109121*223092870*4=47166705041432381
46176957093163301+1109121*223092870*5=47414142028499651
46176957093163301+1109121*223092870*6=47661579015566921
46176957093163301+1109121*223092870*7=47909016002634191
46176957093163301+1109121*223092870*8=48156452989701461
46176957093163301+1109121*223092870*9=48403889976768731
46176957093163301+1109121*223092870*10=48651326963836001
46176957093163301+1109121*223092870*11=48898763950903271
46176957093163301+1109121*223092870*12=49146200937970541
46176957093163301+1109121*223092870*13=49393637925037811
46176957093163301+1109121*223092870*14=49641074912105081
46176957093163301+1109121*223092870*15=49888511899172351
46176957093163301+1109121*223092870*16=50135948886239621
46176957093163301+1109121*223092870*17=50383385873306891
46176957093163301+1109121*223092870*18=50630822860374161
46176957093163301+1109121*223092870*19=50878259847441431
46176957093163301+1109121*223092870*20=51125696834508701
46176957093163301+1109121*223092870*21=51373133821575971
46176957093163301+1109121*223092870*22=51620570808643241
46176957093163301+1109121*223092870*23=51868007795710511
46176957093163301+1109121*223092870*24=52115444782777781
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Jacek Kotnowski (sosnahojna torun) of Poland. He is a member of the BOINC@Poland team.

The AP24 was returned on 25 Nov 2009 10:02:50 UTC. It was found by an Intel Q9300 @ 2.50GHz running Windows Vista 64. It took about 16 minutes to process the WU (each WU tests 6 progression differences).

The progression is written as 35973377180183173+1622443*23#*n for n=0..23. Credits are as follows:

Finder: Jacek Kotnowski
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds. Other improvements/builds provided by:

• Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
  
• Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
  
• Gerrit Slomma: Solaris build
  

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
35973377180183173+1622443*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

35973377180183173+1622443*223092870*0=35973377180183173
35973377180183173+1622443*223092870*1=36335332645464583
35973377180183173+1622443*223092870*2=36697288110745993
35973377180183173+1622443*223092870*3=37059243576027403
35973377180183173+1622443*223092870*4=37421199041308813
35973377180183173+1622443*223092870*5=37783154506590223
35973377180183173+1622443*223092870*6=38145109971871633
35973377180183173+1622443*223092870*7=38507065437153043
35973377180183173+1622443*223092870*8=38869020902434453
35973377180183173+1622443*223092870*9=39230976367715863
35973377180183173+1622443*223092870*10=39592931832997273
35973377180183173+1622443*223092870*11=39954887298278683
35973377180183173+1622443*223092870*12=40316842763560093
35973377180183173+1622443*223092870*13=40678798228841503
35973377180183173+1622443*223092870*14=41040753694122913
35973377180183173+1622443*223092870*15=41402709159404323
35973377180183173+1622443*223092870*16=41764664624685733
35973377180183173+1622443*223092870*17=42126620089967143
35973377180183173+1622443*223092870*18=42488575555248553
35973377180183173+1622443*223092870*19=42850531020529963
35973377180183173+1622443*223092870*20=43212486485811373
35973377180183173+1622443*223092870*21=43574441951092783
35973377180183173+1622443*223092870*22=43936397416374193
35973377180183173+1622443*223092870*23=44298352881655603
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Pawel Ferus (mindc) of Poland. He is a member of the BOINC@Poland team.

The AP24 was returned on 27 Nov 2009 16:01:37 UTC. It was found by an Intel Pentium 4 @ 2.80GHz running Linux. It took about 1 hour 37 minutes and 28 seconds to process the WU (each WU tests 6 progression differences).

The progression is written as 36252687055565597+2173244*23#*n for n=0..23. Credits are as follows:

Finder: Pawel Ferus
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds. Other improvements/builds provided by:

• Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
  
• Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
  
• Gerrit Slomma: Solaris build
  

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
36252687055565597+2173244*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

6252687055565597+2173244*223092870*0=36252687055565597
6252687055565597+2173244*223092870*1=36737522296735877
6252687055565597+2173244*223092870*2=37222357537906157
6252687055565597+2173244*223092870*3=37707192779076437
6252687055565597+2173244*223092870*4=38192028020246717
6252687055565597+2173244*223092870*5=38676863261416997
6252687055565597+2173244*223092870*6=39161698502587277
6252687055565597+2173244*223092870*7=39646533743757557
6252687055565597+2173244*223092870*8=40131368984927837
6252687055565597+2173244*223092870*9=40616204226098117
6252687055565597+2173244*223092870*10=41101039467268397
6252687055565597+2173244*223092870*11=41585874708438677
6252687055565597+2173244*223092870*12=42070709949608957
6252687055565597+2173244*223092870*13=42555545190779237
6252687055565597+2173244*223092870*14=43040380431949517
6252687055565597+2173244*223092870*15=43525215673119797
6252687055565597+2173244*223092870*16=44010050914290077
6252687055565597+2173244*223092870*17=44494886155460357
6252687055565597+2173244*223092870*18=44979721396630637
6252687055565597+2173244*223092870*19=45464556637800917
6252687055565597+2173244*223092870*20=45949391878971197
6252687055565597+2173244*223092870*21=46434227120141477
6252687055565597+2173244*223092870*22=46919062361311757
6252687055565597+2173244*223092870*23=47403897602482037

____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is (James) of the United States.

The AP24 was returned on 1 Dec 2009 6:55:13 UTC. It was found by a Cell Broadband Engine. It took about 11 minutes to process the WU (each WU tests 6 progression differences).

The progression is written as 48306600448056229+1742643*23#*n for n=0..23. Credits are as follows:

Finder: Anonymous
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds. Other improvements/builds provided by:

• Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
  
• Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
  
• Gerrit Slomma: Solaris build
  

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
48306600448056229+1742643*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

48306600448056229+1742643*223092870*0=48306600448056229
48306600448056229+1742643*223092870*1=48695371676311639
48306600448056229+1742643*223092870*2=49084142904567049
48306600448056229+1742643*223092870*3=49472914132822459
48306600448056229+1742643*223092870*4=49861685361077869
48306600448056229+1742643*223092870*5=50250456589333279
48306600448056229+1742643*223092870*6=50639227817588689
48306600448056229+1742643*223092870*7=51027999045844099
48306600448056229+1742643*223092870*8=51416770274099509
48306600448056229+1742643*223092870*9=51805541502354919
48306600448056229+1742643*223092870*10=52194312730610329
48306600448056229+1742643*223092870*11=52583083958865739
48306600448056229+1742643*223092870*12=52971855187121149
48306600448056229+1742643*223092870*13=53360626415376559
48306600448056229+1742643*223092870*14=53749397643631969
48306600448056229+1742643*223092870*15=54138168871887379
48306600448056229+1742643*223092870*16=54526940100142789
48306600448056229+1742643*223092870*17=54915711328398199
48306600448056229+1742643*223092870*18=55304482556653609
48306600448056229+1742643*223092870*19=55693253784909019
48306600448056229+1742643*223092870*20=56082025013164429
48306600448056229+1742643*223092870*21=56470796241419839
48306600448056229+1742643*223092870*22=56859567469675249
48306600448056229+1742643*223092870*23=57248338697930659
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 108936498476106241 surpassing the previous record of 104710589416588949 (2009, Solbjørg, PrimeGrid, AP26). The finder is Piotr M. Zalewski (Piotr M. Zalewski) of Poland. He is a member of the BOINC@Poland team.

The AP24 was returned on 2 Dec 2009 18:17:33 UTC. It was found by an AMD Athlon 7750 running Windows Server 2003 Enterprise Server x64 Edition. It took about 21 minutes and 58 seconds to process the WU (each WU tests 6 progression differences).

The progression is written as 4911007789148401+20273384*23#*n for n=0..23. Credits are as follows:

Finder: Piotr M. Zalewski
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
4911007789148401+20273384*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

4911007789148401+20273384*223092870*0=4911007789148401
4911007789148401+20273384*223092870*1=9433855210320481
4911007789148401+20273384*223092870*2=13956702631492561
4911007789148401+20273384*223092870*3=18479550052664641
4911007789148401+20273384*223092870*4=23002397473836721
4911007789148401+20273384*223092870*5=27525244895008801
4911007789148401+20273384*223092870*6=32048092316180881
4911007789148401+20273384*223092870*7=36570939737352961
4911007789148401+20273384*223092870*8=41093787158525041
4911007789148401+20273384*223092870*9=45616634579697121
4911007789148401+20273384*223092870*10=50139482000869201
4911007789148401+20273384*223092870*11=54662329422041281
4911007789148401+20273384*223092870*12=59185176843213361
4911007789148401+20273384*223092870*13=63708024264385441
4911007789148401+20273384*223092870*14=68230871685557521
4911007789148401+20273384*223092870*15=72753719106729601
4911007789148401+20273384*223092870*16=77276566527901681
4911007789148401+20273384*223092870*17=81799413949073761
4911007789148401+20273384*223092870*18=86322261370245841
4911007789148401+20273384*223092870*19=90845108791417921
4911007789148401+20273384*223092870*20=95367956212590001
4911007789148401+20273384*223092870*21=99890803633762081
4911007789148401+20273384*223092870*22=104413651054934161
4911007789148401+20273384*223092870*23=108936498476106241
____________

New AP25

A new record AP25 (Arithmetic Progression of 25 primes) has been found. It is the largest known AP25 and only the 6th discovered. It has an ending term of 139751114244588403 surpassing the previous record of 52115444782777781 (2009, Dickinson, PrimeGrid, AP26). It is also the largest known AP24 with and ending term of 139751114244588403 surpassing the previous record of 108936498476106241 (2009, Zalewski, PrimeGrid, AP26). This is the first AP24 & AP25 found by the CUDA23 app.

The finder is Rune Nordbøe Skillingstad (runesk) of Norway. He is a member of Team Norway.

The AP25 was returned on 15 Dec 2009 17:30:00 UTC. It was found by an NVIDIA GeForce GTX 285 on an Intel i7 CPU 940 @ 2.93GHz running 32 bit Windows. It took about 9 minutes and 33 seconds to process the WU (each WU tests 9 progression differences).

The AP25 progression is written as 12353443596260323+23793841*23#*n for n=0..24. The AP24 progression is written as 12353443596260323+23793841*23#*n for n=1..24. Credits are as follows:

Finder: Rune Nordbøe Skillingstad
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build
Gerrit Slomma & Bryan Little: CUDA23 App

The AP24 and AP25 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 25 terms of the AP25
12353443596260323+23793841*23#*n for n=0..24

23#=2*3*5*7*11*13*17*19*23=223092870

12353443596260323+23793841*223092870*0=12353443596260323
12353443596260323+23793841*223092870*1=17661679873273993
12353443596260323+23793841*223092870*2=22969916150287663
12353443596260323+23793841*223092870*3=28278152427301333
12353443596260323+23793841*223092870*4=33586388704315003
12353443596260323+23793841*223092870*5=38894624981328673
12353443596260323+23793841*223092870*6=44202861258342343
12353443596260323+23793841*223092870*7=49511097535356013
12353443596260323+23793841*223092870*8=54819333812369683
12353443596260323+23793841*223092870*9=60127570089383353
12353443596260323+23793841*223092870*10=65435806366397023
12353443596260323+23793841*223092870*11=70744042643410693
12353443596260323+23793841*223092870*12=76052278920424363
12353443596260323+23793841*223092870*13=81360515197438033
12353443596260323+23793841*223092870*14=86668751474451703
12353443596260323+23793841*223092870*15=91976987751465373
12353443596260323+23793841*223092870*16=97285224028479043
12353443596260323+23793841*223092870*17=102593460305492713
12353443596260323+23793841*223092870*18=107901696582506383
12353443596260323+23793841*223092870*19=113209932859520053
12353443596260323+23793841*223092870*20=118518169136533723
12353443596260323+23793841*223092870*21=123826405413547393
12353443596260323+23793841*223092870*22=129134641690561063
12353443596260323+23793841*223092870*23=134442877967574733
12353443596260323+23793841*223092870*24=139751114244588403

The 24 terms of the AP24
12353443596260323+23793841*23#*n for n=1..24

23#=2*3*5*7*11*13*17*19*23=223092870

12353443596260323+23793841*223092870*1=17661679873273993
12353443596260323+23793841*223092870*2=22969916150287663
12353443596260323+23793841*223092870*3=28278152427301333
12353443596260323+23793841*223092870*4=33586388704315003
12353443596260323+23793841*223092870*5=38894624981328673
12353443596260323+23793841*223092870*6=44202861258342343
12353443596260323+23793841*223092870*7=49511097535356013
12353443596260323+23793841*223092870*8=54819333812369683
12353443596260323+23793841*223092870*9=60127570089383353
12353443596260323+23793841*223092870*10=65435806366397023
12353443596260323+23793841*223092870*11=70744042643410693
12353443596260323+23793841*223092870*12=76052278920424363
12353443596260323+23793841*223092870*13=81360515197438033
12353443596260323+23793841*223092870*14=86668751474451703
12353443596260323+23793841*223092870*15=91976987751465373
12353443596260323+23793841*223092870*16=97285224028479043
12353443596260323+23793841*223092870*17=102593460305492713
12353443596260323+23793841*223092870*18=107901696582506383
12353443596260323+23793841*223092870*19=113209932859520053
12353443596260323+23793841*223092870*20=118518169136533723
12353443596260323+23793841*223092870*21=123826405413547393
12353443596260323+23793841*223092870*22=129134641690561063
12353443596260323+23793841*223092870*23=134442877967574733
12353443596260323+23793841*223092870*24=139751114244588403
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Pawel Ferus (mindc) of Poland. He is a member of the BOINC@Poland team.

The AP24 was returned on 16 Dec 2009 13:46:09 UTC. It was found by an Intel Core2 Duo E7300 @ 2.66GHZ running Linux. It took about 47 minutes and 45 seconds to process the WU (each WU tests 9 progression differences).

The progression is written as 14698398021483853+24362735*23#*n for n=0..23. Credits are as follows:

Finder: Pawel Ferus
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build
Gerrit Slomma & Bryan Little: CUDA23 App

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
14698398021483853+24362735*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

14698398021483853+24362735*223092870*0=14698398021483853
14698398021483853+24362735*223092870*1=20133550493683303
14698398021483853+24362735*223092870*2=25568702965882753
14698398021483853+24362735*223092870*3=31003855438082203
14698398021483853+24362735*223092870*4=36439007910281653
14698398021483853+24362735*223092870*5=41874160382481103
14698398021483853+24362735*223092870*6=47309312854680553
14698398021483853+24362735*223092870*7=52744465326880003
14698398021483853+24362735*223092870*8=58179617799079453
14698398021483853+24362735*223092870*9=63614770271278903
14698398021483853+24362735*223092870*10=69049922743478353
14698398021483853+24362735*223092870*11=74485075215677803
14698398021483853+24362735*223092870*12=79920227687877253
14698398021483853+24362735*223092870*13=85355380160076703
14698398021483853+24362735*223092870*14=90790532632276153
14698398021483853+24362735*223092870*15=96225685104475603
14698398021483853+24362735*223092870*16=101660837576675053
14698398021483853+24362735*223092870*17=107095990048874503
14698398021483853+24362735*223092870*18=112531142521073953
14698398021483853+24362735*223092870*19=117966294993273403
14698398021483853+24362735*223092870*20=123401447465472853
14698398021483853+24362735*223092870*21=128836599937672303
14698398021483853+24362735*223092870*22=134271752409871753
14698398021483853+24362735*223092870*23=139706904882071203
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Robert Szafrański (sciagacz) of Poland. He is a member of the BOINC@Poland team.

The AP24 was returned on 17 Dec 2009 15:56:35 UTC. It was found by an Intel Xeon 5130 @ 2.00GHz running Linux. It took about 41 minutes and 32 seconds to process the WU (each WU tests 9 progression differences).

The progression is written as 20813446029088183+11788369*23#*n for n=0..23. Credits are as follows:

Finder: Robert Szafrański
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build
Gerrit Slomma & Bryan Little: CUDA23 App

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
20813446029088183+11788369*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

20813446029088183+11788369*223092870*0=20813446029088183
20813446029088183+11788369*223092870*1=23443347101917213
20813446029088183+11788369*223092870*2=26073248174746243
20813446029088183+11788369*223092870*3=28703149247575273
20813446029088183+11788369*223092870*4=31333050320404303
20813446029088183+11788369*223092870*5=33962951393233333
20813446029088183+11788369*223092870*6=36592852466062363
20813446029088183+11788369*223092870*7=39222753538891393
20813446029088183+11788369*223092870*8=41852654611720423
20813446029088183+11788369*223092870*9=44482555684549453
20813446029088183+11788369*223092870*10=47112456757378483
20813446029088183+11788369*223092870*11=49742357830207513
20813446029088183+11788369*223092870*12=52372258903036543
20813446029088183+11788369*223092870*13=55002159975865573
20813446029088183+11788369*223092870*14=57632061048694603
20813446029088183+11788369*223092870*15=60261962121523633
20813446029088183+11788369*223092870*16=62891863194352663
20813446029088183+11788369*223092870*17=65521764267181693
20813446029088183+11788369*223092870*18=68151665340010723
20813446029088183+11788369*223092870*19=70781566412839753
20813446029088183+11788369*223092870*20=73411467485668783
20813446029088183+11788369*223092870*21=76041368558497813
20813446029088183+11788369*223092870*22=78671269631326843
20813446029088183+11788369*223092870*23=81301170704155873
____________

New AP24

A new AP24 (Arithmetic Progression of 24 primes) has been found. The finder is Rune Fredriksen (shanky) of Norway.

The AP24 was returned on 18 Dec 2009 14:54:55 UTC. It was found by an Intel Xeon E5472 @ 3.00GHz running Linux. It took about 30 minutes and 32 seconds to process the WU (each WU tests 9 progression differences).

The progression is written as 28236790404122779+13068553*23#*n for n=0..23. Credits are as follows:

Finder: Rune Fredriksen
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build
Gerrit Slomma & Bryan Little: CUDA23 App

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• All known AP24 and AP25
  

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information
How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski
Primes in arithmetic progression - Wikipedia
Prime Arithmetic Progression - Wolfram MathWorld
arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24
28236790404122779+13068553*23#*n for n=0..23

23#=2*3*5*7*11*13*17*19*23=223092870

28236790404122779+13068553*223092870*0=28236790404122779
28236790404122779+13068553*223092870*1=31152291399639889
28236790404122779+13068553*223092870*2=34067792395156999
28236790404122779+13068553*223092870*3=36983293390674109
28236790404122779+13068553*223092870*4=39898794386191219
28236790404122779+13068553*223092870*5=42814295381708329
28236790404122779+13068553*223092870*6=45729796377225439
28236790404122779+13068553*223092870*7=48645297372742549
28236790404122779+13068553*223092870*8=51560798368259659
28236790404122779+13068553*223092870*9=54476299363776769
28236790404122779+13068553*223092870*10=57391800359293879
28236790404122779+13068553*223092870*11=60307301354810989
28236790404122779+13068553*223092870*12=63222802350328099
28236790404122779+13068553*223092870*13=66138303345845209
28236790404122779+13068553*223092870*14=69053804341362319
28236790404122779+13068553*223092870*15=71969305336879429
28236790404122779+13068553*223092870*16=74884806332396539
28236790404122779+13068553*223092870*17=77800307327913649
28236790404122779+13068553*223092870*18=80715808323430759
28236790404122779+13068553*223092870*19=83631309318947869
28236790404122779+13068553*223092870*20=86546810314464979
28236790404122779+13068553*223092870*21=89462311309982089
28236790404122779+13068553*223092870*22=92377812305499199
28236790404122779+13068553*223092870*23=95293313301016309
____________

New AP24

A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 150127932982154623 surpassing the previous record of 139751114244588403 (2009, Skillingstad, PrimeGrid, AP26). The finder is Jesper Kågefors (wmjekag) of Sweden. He is a member of the BOINC Synergy team.

The AP24 was returned on 19 Dec 2009 10:41:13 UTC. It was found by an Intel Core2 Quad Q8200 @ 2.33GHz running Windows Vista 64 bit. It took about 35 minutes and 33 seconds to process the WU (each WU tests 9 progression differences).

The progression is written as 7448460750808573+27806605*23#*n for n=0..23. Credits are as follows:

Finder: Jesper Kågefors
Project: PrimeGrid
Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

Bryan Little: PS3/Cell Blade App: "AP26 port to Cell/B.E. Linux platform"
Bryan Little: Linux,Windows Apps: "Vectorized cpu-intensive scalar code and built applications with Intel(R) optimizing compiler"
Gerrit Slomma: Solaris build
Gerrit Slomma & Bryan Little: CUDA23 App

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the section(s):

• The largest known AP-k
  
• Record history for the largest known AP-k
  
• All known AP24 and AP25