A055706 Numbers n such that n | sigma_12(n) + phi(n)^12.

1, 2, 6, 84, 437, 1366, 2390, 5676, 47471, 75972, 82321, 99012, 3015760, 5667660, 7881348, 11498604, 26118614, 26447827, 114092460, 115426140, 121197447, 207767052, 257342460, 463216428, 567155020, 658286388, 758280060, 1013513752, 1261438248, 1762803253

Offset: 1

Author

Robert G. Wilson v, Jun 09 2000

Keywords

• nonn

Comments

sigma_12(n) is the sum of the 12th powers of the divisors of n (A013960).

Programs

Mathematica

Do[If[Mod[DivisorSigma[12, n]+EulerPhi[n]^12, n]==0, Print[n]], {n, 1, 10^5}]

PARI

isok(n) = !((sigma(n, 12) + eulerphi(n)^12) % n); \\ Michel Marcus, Mar 02 2014

Extensions

More terms from Michel Marcus, Mar 02 2014