%I #13 Sep 08 2022 08:46:24

%S 2,3,4,9,16,25,64,289,729,1681,2401,3481,4096,5041,7921,10201,15625,

%T 17161,27889,28561,29929,65536,83521,85849,146689,262144,279841,

%U 458329,491401,531441,552049,579121,597529,683929,703921,707281,734449,829921,1190281

%N Numbers m such that m! / sigma(m) is not an integer.

%C Numbers A053182(n)^2 are terms for n >= 1.

%C Complement of A325435.

%C Union of the number 3 and numbers m from A023194 (sigma(m) = prime).

%o (Magma) [n: n in [1..10000] | not IsIntegral(Factorial(n)/&+[d: d in Divisors(n)])]

%o (PARI) isok(n) = ((n! % sigma(n)) != 0); \\ _Michel Marcus_, Apr 26 2019

%Y Cf. A000142, A000203, A023194, A053182, A325435.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Apr 26 2019