

A131277


Numbers m that divide Sum_{k=1..m} prime(k)^17.


2



1, 395191, 697717, 1078323, 2050797, 10543929, 386099691, 2467825171, 4488040933, 17387575533, 39641205433, 825688143387, 2800262033655, 3214748608393, 5174884331693, 16485974355373, 20683624349423
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OFFSET

1,2


COMMENTS

a(18) > 3*10^13.  _Bruce Garner, Aug 30 2021


LINKS

Table of n, a(n) for n=1..17.
OEIS Wiki, Sums of powers of primes divisibility sequences.


MATHEMATICA

s = 0; Do[s = s + Prime[n]^17; If[ Mod[s, n] == 0, Print[n]], {n, 1100000}]


CROSSREFS

Cf. A085450 (smallest m > 1 that divide Sum_{k=1..m} prime(k)^n).
Cf. A000040, A007504, A045345, A171399, A128165, A233523, A050247, A050248.
Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.
Sequence in context: A320209 A320218 A230792 * A250453 A233612 A234909
Adjacent sequences: A131274 A131275 A131276 * A131278 A131279 A131280


KEYWORD

more,nonn,less


AUTHOR

Alexander Adamchuk, Jun 25 2007


EXTENSIONS

a(5) & a(6) from Robert G. Wilson v, Jul 05 2007
a(7) from D. S. McNeil, Dec 05 2010
a(8)a(11) from Robert Price, Dec 12 2013
a(12) from Bruce Garner, Mar 02 2021
a(13) from Bruce Garner, Mar 17 2021
a(14) from Bruce Garner, Mar 30 2021
a(15) from Bruce Garner, Apr 14 2021
a(16) from Bruce Garner, Jun 30 2021
a(17) from Bruce Garner, Aug 30 2021


STATUS

approved



