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A074866
Non-balanced numbers in A015763.
6
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
1,1
LINKS
FORMULA
sigma_5(a(n)) mod phi(a(n)) = 0; sigma(a(n)) mod phi(a(n)) <> 0.
MATHEMATICA
q[n_] := Sign[Mod[DivisorSigma[{1, 5}, n], EulerPhi[n]]] == {1, 0}; Select[Range[3000], q] (* Amiram Eldar, Apr 11 2024 *)
PROG
(PARI) is(n) = {my(f = factor(n), phi = eulerphi(f)); (sigma(f) % phi) && !(sigma(f, 5) % phi); } \\ Amiram Eldar, Apr 11 2024
KEYWORD
nonn
AUTHOR
Labos Elemer, Dec 05 2002
STATUS
approved