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A131279 Numbers n such that n divides Sum[ Prime[k]^19, {k,1,n} ]. 2
1, 25, 453, 677, 839, 1015, 3735, 4175, 4413, 10369, 14239, 43311, 452567, 1274185, 14102849, 37801813, 71271705, 93524231, 386557609, 2151748733 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(21) > 4*10^10. - Robert Price, Dec 15 2013

LINKS

Table of n, a(n) for n=1..20.

OEIS Wiki, Sums of powers of primes divisibility sequences.

MATHEMATICA

s = 0; Do[s = s + Prime[n]^19; If[ Mod[s, n] == 0, Print[n]], {n, 50000}]

CROSSREFS

Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.

Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.

Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.

Sequence in context: A001714 A016633 A001811 * A056069 A089386 A014927

Adjacent sequences:  A131276 A131277 A131278 * A131280 A131281 A131282

KEYWORD

nonn

AUTHOR

Alexander Adamchuk, Jun 25 2007

EXTENSIONS

More terms from Ryan Propper, Oct 09 2007

a(19)-a(20) from Robert Price, Dec 15 2013

STATUS

approved

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Last modified May 31 00:53 EDT 2020. Contains 334747 sequences. (Running on oeis4.)