A074866 Non-balanced numbers in A015763.

46, 134, 138, 161, 184, 230, 299, 322, 402, 414, 483, 552, 598, 623, 644, 670, 690, 805, 874, 897, 966, 1173, 1196, 1208, 1242, 1246, 1288, 1495, 1608, 1610, 1702, 1794, 1869, 1909, 1932, 1990, 1992, 2010, 2024, 2070, 2185, 2202, 2346, 2415, 2576

Offset: 1

Author

Labos Elemer, Dec 05 2002

Keywords

• nonn

Links

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

Crossrefs

Cf. A000010, A000203, A001160, A015763, A020492, A078539.

Cf. A074868, A077801, A077803, A078544, A078549, A078550.

Programs

Mathematica

q[n_] := Sign[Mod[DivisorSigma[{1, 5}, n], EulerPhi[n]]] == {1, 0}; Select[Range[3000], q] (* Amiram Eldar, Apr 11 2024 *)

PARI

is(n) = {my(f = factor(n), phi = eulerphi(f)); (sigma(f) % phi) && !(sigma(f, 5) % phi);} \\ Amiram Eldar, Apr 11 2024

Formula

sigma_5(a(n)) mod phi(a(n)) = 0; sigma(a(n)) mod phi(a(n)) <> 0.