A218087 -id:A218087 - cp's OEIS frontend

A128397 Numbers k such that k^2 divides 17^k-1.

1, 2, 4, 6, 8, 12, 16, 18, 20, 24, 36, 40, 42, 48, 60, 72, 78, 80, 84, 116, 120, 126, 144, 156, 168, 180, 220, 232, 234, 240, 252, 312, 336, 342, 348, 360, 420, 440, 464, 468, 504, 546, 580, 624, 660, 684, 696, 720, 780, 840, 880, 936, 1008, 1044, 1092, 1160

Offset: 1

Alexander Adamchuk, Mar 01 2007

The first 9 numbers (and many more) which are a multiple of their digital sum in all bases from 2 through 16 (A218087), are members of this sequence, and also of A177917. - M. F. Hasler, Oct 22 2012

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A127103, A127104, A127105, A127106, A127107, A127102, A127101, A127100, A127092, A128405, A128393, A128394, A128395, A128396, A128398, A128399, A128400, A128401, A128402, A128403, A128404.

Cf. A177917.

is_A128397(n)=Mod(17,n^2)^n==1  \\ M. F. Hasler, Oct 22 2012

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

Original entry on oeis.org

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

Alexander Adamchuk, May 14 2010

nonn

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

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

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.

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

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

cp's OEIS Frontend

A128397 Numbers k such that k^2 divides 17^k-1.

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