A177917 Numbers k such that k^3 divides 17^(k^2) - 1.

1, 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 36, 40, 42, 48, 58, 60, 72, 78, 80, 84, 90, 110, 114, 116, 120, 126, 144, 156, 168, 174, 180, 210, 220, 222, 228, 232, 234, 240, 252, 290, 312, 330, 336, 342, 348, 360, 390, 420, 440, 444, 456, 464, 468, 504, 522, 546

Offset: 1

Author

Alexander Adamchuk, May 14 2010

Keywords

• nonn

Comments

The first 9 terms (and others) of A218087 are in this sequence A177917 as well as in A128397. These two sequences have many terms in common, but A177917 \ A128397 = {10, 30, 58, 90, 110, ...} and A128397 \ A177917 = {580, 624, 660, 684, 696, 720, ...}. - M. F. Hasler, Oct 22 2012

Links

• Robert Price, Table of n, a(n) for n = 1..6436

Crossrefs

Cf. A129211, A129212, A177905, A177907, A127102, A177909, A177243, A177911, A177912, A177913, A177914, A177915, A177916, A177918, A177919, A177920.

Cf. A127103, A127104, A127105, A127106, A127107, A127102, A127101, A127100, A127092, ..., A128397.

Programs

Mathematica

Select[Range[600],Divisible[17^#^2-1,#^3]&] (* Harvey P. Dale, Jul 19 2015 *)

PARI

is_A177917(n)=Mod(17,n^3)^(n^2)==1  \\ M. F. Hasler, Oct 21 2012