Numbers n that divide the sum of the nonprime numbers up to n.
1, 5, 22, 25, 71, 118, 414, 2745, 10623, 63201, 369119, 1039161, 1693864, 2285297, 52962021, 66998865, 232974402, 315796805, 336125877, 415074643, 834972771
1
T. D. Noe, Plot of 21 terms
Example: 22 is here because 22 divides 1 + 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 22 = 176.
(Mma) s = 0; t = {}; Do[If[! PrimeQ[n], s = s + n]; If[Mod[s, n] == 0, AppendTo[t, n]], {n, 1000000}]; t
Cf. A007506, A009560, A234540, S000054, S000056.
nonn,hard,more
T. D. Noe, May 16 2014