The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A128685

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A128685

Numbers k such that k^3 divides 12^(k^2) + 1.
(history; published version)

#15 by Joerg Arndt at Tue Jun 08 02:22:20 EDT 2021

STATUS

proposed

approved

#14 by Jon E. Schoenfield at Mon Jun 07 23:41:37 EDT 2021

STATUS

editing

proposed

#13 by Jon E. Schoenfield at Mon Jun 07 23:41:35 EDT 2021

NAME

Numbers n k such that nk^3 divides 12^(nk^2) + 1.

COMMENTS

13 divides a(n) for n > 1.

STATUS

approved

editing

#12 by Max Alekseyev at Wed Jan 24 15:15:30 EST 2018

STATUS

editing

approved

#11 by Max Alekseyev at Wed Jan 24 15:15:24 EST 2018

CROSSREFS

Cf. A127263 = numbers n such that n^3 divide 2^(n^2)+1. Cf. A128677 = Least k>p such that (kp)^3 divides (p-1)^(kp)^2+1, where p = Prime[n]>2. Cf. A128678, A128679, A128680, A128681, A128682, A128683, A128684.

Cf. A127263, A128677, A128678, A128679, A128680, A128681, A128682, A128683, A128684.

STATUS

approved

editing

#10 by Bruno Berselli at Thu Jan 18 04:49:24 EST 2018

STATUS

proposed

approved

#9 by G. C. Greubel at Thu Jan 18 00:46:37 EST 2018

STATUS

editing

proposed

#8 by G. C. Greubel at Thu Jan 18 00:46:33 EST 2018

MATHEMATICA

Select[Range[5*10^6], Mod[ 12^(#^2)+1, #^3]==0 &] (* G. C. Greubel, Jan 18 2018 *)

STATUS

approved

editing

#7 by Charles R Greathouse IV at Tue Sep 24 09:21:40 EDT 2013

EXTENSIONS

16 more terms from _Ryan Propper (rpropper(AT)cs.stanford.edu), _, Dec 03 2007

Discussion

Tue Sep 24

09:21

OEIS Server: https://oeis.org/edit/global/1945

#6 by Russ Cox at Sat Mar 31 13:20:36 EDT 2012

AUTHOR

_Alexander Adamchuk (alex(AT)kolmogorov.com), _, Mar 31 2007

Discussion

Sat Mar 31

13:20

OEIS Server: https://oeis.org/edit/global/879