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A131264 Numbers n such that n divides Sum[ Prime[k]^10, {k,1,n} ]. +0
11
1, 269, 41837, 36626159, 154578947 (list; graph; listen)
OFFSET

1,2

MATHEMATICA

s = 0; Do[s = s + Prime[n]^10; If[ Mod[s, n] == 0, Print[n]], {n, 1000000}]

CROSSREFS

Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n. Cf. A045345, A111441, A122140, A125907, A122142, A125825, A125826, A125828, A131263, A125827, A131272, A131273, A131274, A131275, A131276, A131277, A131278, A131279, A131280, A131281, A131282, A131283, A131284, A131285, A131289, A131290, A131291.

Sequence in context: A059330 A054803 A166807 this_sequence A053322 A025393 A025394

Adjacent sequences: A131261 A131262 A131263 this_sequence A131265 A131266 A131267

KEYWORD

more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Jun 25 2007

EXTENSIONS

a(4) & a(5) from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 28 2007

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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