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A166606
Numbers k such that Sum_{i=1..k} i^6 divides Product_{i=1..k} i^6.
5
1, 1556, 1640, 3907, 5642, 6205, 7238, 8311, 10350, 11551, 12499, 13371, 13812, 17524, 17589, 18162, 18790, 21569, 21573, 22381, 22544, 23809, 24312, 24416, 24598, 24629, 25247, 25463, 26093, 26583, 26829, 27091, 27098, 28646, 28804
OFFSET
1,2
EXAMPLE
a(2) = A125314(6) = 1556.
MATHEMATICA
k = s = 1; p = 1; lst = {}; While[k < 5000, If[Mod[p, s] == 0, AppendTo[lst, k]]; k++; s = s + k^6; p = p*k^6]; lst (* G. C. Greubel, May 18 2016 *)
KEYWORD
nonn
AUTHOR
Alexander Adamchuk, Oct 18 2009
EXTENSIONS
More terms from Max Alekseyev, Sep 30 2010
STATUS
approved