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A131278 Numbers n such that n divides Sum[ Prime[k]^18, {k,1,n} ]. +0
11
1, 37, 265, 17207 (list; graph; listen)
OFFSET

1,2

MATHEMATICA

s = 0; Do[s = s + Prime[n]^18; 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, A131264, A125827, A131272, A131273, A131274, A131275, A131276, A131277, A131279, A131280, A131281, A131282, A131283, A131284, A131285, A131289, A131290, A131291.

Sequence in context: A142308 A105463 A119545 this_sequence A139996 A142835 A142234

Adjacent sequences: A131275 A131276 A131277 this_sequence A131279 A131280 A131281

KEYWORD

bref,more,nonn,less

AUTHOR

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

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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