The On-Line Encyclopedia of Integer Sequences (OEIS)

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Revision History for A345863

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

Numbers that are the sum of five fifth powers in five or more ways.
(history; published version)

#12 by Michael De Vlieger at Fri May 10 08:50:45 EDT 2024

STATUS

reviewed

approved

#11 by Joerg Arndt at Fri May 10 04:11:18 EDT 2024

STATUS

proposed

reviewed

#10 by Joerg Arndt at Fri May 10 04:11:15 EDT 2024

STATUS

editing

proposed

#9 by Joerg Arndt at Fri May 10 04:11:07 EDT 2024

EXAMPLE

65799210368 = 7^5 + 77^5 + 109^5 + 115^5 + 125^5

= 10^5 + 84^5 + 98^5 + 109^5 + 132^5

= 16^5 + 21^5 + 29^5 + 71^5 + 146^5

= 49^5 + 57^5 + 77^5 + 115^5 + 135^5

= 57^5 + 59^5 + 63^5 + 125^5 + 129^5

so 65799210368 is a term.

STATUS

proposed

editing

Discussion

Fri May 10

04:11

Joerg Arndt: yarp.

#8 by Jon E. Schoenfield at Fri May 10 02:28:34 EDT 2024

STATUS

editing

proposed

Discussion

Fri May 10

02:30

Joerg Arndt: 7^5 + 77^5 + 109^5 + 115^5 + 125^5 = 68724190513

02:38

Jon E. Schoenfield: Oops! Thanks for checking that! (I didn’t check the sums; I merely reformatted things [and supplied a missing “^2” on several entries that were supposed to be about sums of squares but ended with “+ 3.”])

02:39

Jon E. Schoenfield: Does that line maybe have a typo?

02:47

Joerg Arndt: sums are pairwise different and none is 65799210368 (all are odd)

02:52

Jon E. Schoenfield: Maybe we should just flush the Example section?

#7 by Jon E. Schoenfield at Fri May 10 02:28:32 EDT 2024

EXAMPLE

65799210368 is a term because 65799210368 = 7^5 + 77^5 + 109^5 + 115^5 + 125^5 = 10^5 + 84^5 + 98^5 + 109^5 + 132^5 = 16^5 + 21^5 + 29^5 + 71^5 + 146^5 = 49^5 + 57^5 + 77^5 + 115^5 + 135^5 = 57^5 + 59^5 + 63^5 + 125^5 + 129^5.

65799210368 = 7^5 + 77^5 + 109^5 + 115^5 + 125^5

= 10^5 + 84^5 + 98^5 + 109^5 + 132^5

= 16^5 + 21^5 + 29^5 + 71^5 + 146^5

= 49^5 + 57^5 + 77^5 + 115^5 + 135^5

= 57^5 + 59^5 + 63^5 + 125^5 + 129^5

so 65799210368 is a term.

STATUS

approved

editing

#6 by Sean A. Irvine at Sat Jul 31 16:54:15 EDT 2021

STATUS

editing

approved

#5 by Sean A. Irvine at Sat Jul 31 16:52:45 EDT 2021

CROSSREFS

Cf. A344358, A344518, A345719, A345864, A346257.

STATUS

approved

editing

#4 by Sean A. Irvine at Mon Jun 28 19:58:32 EDT 2021

STATUS

editing

approved

#3 by Sean A. Irvine at Mon Jun 28 19:58:14 EDT 2021

LINKS

Sean A. Irvine, <a href="/A345863/b345863.txt">Table of n, a(n) for n = 1..168</a>