The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A116612

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A116612

Values of n such that p(2n+1) mod 12 = 1, where p(j) denotes the j-th prime.
(history; published version)

#14 by Paul D. Hanna at Sat Oct 28 10:48:15 EDT 2017

STATUS

proposed

approved

#13 by Michel Marcus at Sat Oct 28 02:29:04 EDT 2017

STATUS

editing

proposed

#12 by Michel Marcus at Sat Oct 28 02:29:00 EDT 2017

CROSSREFS

Cf. A116602, A116610, A116613-A116617, A160591-A160594. [From __M. F. Hasler_, May 22 2009]

STATUS

proposed

editing

#11 by G. C. Greubel at Sat Oct 28 00:39:31 EDT 2017

STATUS

editing

proposed

#10 by G. C. Greubel at Sat Oct 28 00:39:23 EDT 2017

LINKS

G. C. Greubel, <a href="/A116612/b116612.txt">Table of n, a(n) for n = 1..5000</a>

FORMULA

A116612 = integer part of 1/2 * { odd terms in A160594 = A000720(A068228) }. [_- _M. F. Hasler_, May 22 2009]

MATHEMATICA

Select[Range[0, 2000], Mod[Prime[2*# + 1], 12] == 1 &] (* G. C. Greubel, Oct 27 2017 *)

STATUS

approved

editing

#9 by Jon E. Schoenfield at Thu Mar 12 19:17:00 EDT 2015

STATUS

editing

approved

#8 by Jon E. Schoenfield at Thu Mar 12 19:16:58 EDT 2015

FORMULA

A116612 = integer part of 1/2 * { odd terms in A160594 = A000720(A068228) } . [From __M. F. Hasler_, May 22 2009]

EXAMPLE

29 is in the sequence because the 59-th 59th prime is 277 and 277 mod 12=1.

PROG

(PARI) for(n=1, 999, prime(2*n+1)%12==1 & print1(n", ")) \\\\ [From _ _M. F. Hasler_, May 22 2009]

STATUS

approved

editing

#7 by Charles R Greathouse IV at Sat Jul 14 11:32:17 EDT 2012

FORMULA

A116612 = integer part of 1/2 * { odd terms in A160594 = A000720(A068228) } [From _M. F. Hasler (www.univ-ag.fr/~mhasler), _, May 22 2009]

PROG

(PARI) for(n=1, 999, prime(2*n+1)%12==1 & print1(n", ")) \\\\ [From _M. F. Hasler (www.univ-ag.fr/~mhasler), _, May 22 2009]

CROSSREFS

Cf. A116602, A116610, A116613-A116617, A160591-A160594. [From _M. F. Hasler (www.univ-ag.fr/~mhasler), _, May 22 2009]

Discussion

Sat Jul 14

11:32

OEIS Server: https://oeis.org/edit/global/1815

#6 by Russ Cox at Fri Mar 30 17:34:20 EDT 2012

AUTHOR

_Roger L. Bagula (rlbagulatftn(AT)yahoo.com), _, Mar 29 2006

Discussion

Fri Mar 30

17:34

OEIS Server: https://oeis.org/edit/global/158

#5 by Russ Cox at Fri Mar 30 16:50:24 EDT 2012

EXTENSIONS

Edited by _N. J. A. Sloane (njas(AT)research.att.com), _, Apr 05 2006

Discussion

Fri Mar 30

16:50

OEIS Server: https://oeis.org/edit/global/110