A177912 Numbers k such that k^3 divides 12^(k^2) - 1.

1, 11, 253, 11891, 77209, 768361, 1775807, 17666737, 36112967, 61488361, 83462929, 154261943, 173185331, 591303757, 830336639, 971656873, 2936791979, 4139054953, 5393125859, 8139710557, 8142849781, 45667873031, 53653880269

Offset: 1

Author

Alexander Adamchuk, May 14 2010

Keywords

• nonn

Comments

11 divides a(n) for n > 1.

Crossrefs

Cf. A014951 (k divides 12^k-1), A128405 (k^2 divides 12^k-1).

Cf. A129211, A129212, A177905, A127106, A177907, A127102, A177909, A177243.

Cf. A177911, A177912, A177913, A177914, A177915, A177916, A177917, A177918, A177919, A177920.

Programs

Mathematica

Join[{1}, Select[Range[3000000], PowerMod[12, #^2, #^3] == 1 &]] (* Robert Price, Mar 31 2020 *)

Extensions

More terms from Max Alekseyev, Oct 02 2010