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A131273
Numbers k that divide Sum_{j=1..k} prime(j)^13.
1
1, 23, 299, 313, 171287, 435705, 487475, 3774601, 219347813, 9613155161, 5150163868035, 37365789554345, 228914067371295
OFFSET
1,2
COMMENTS
a(13) > 4*10^13. - Bruce Garner, Aug 30 2021
MATHEMATICA
s = 0; Do[s = s + Prime[n]^13; If[ Mod[s, n] == 0, Print[n]], {n, 200000}]
PROG
(PARI) S=n=0; forprime(p=1, , (S+=p^13)%n++||print1(n", ")) \\ M. F. Hasler, Dec 01 2013
CROSSREFS
Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.
Sequence in context: A199031 A125435 A086943 * A023021 A022651 A267266
KEYWORD
more,nonn,less
AUTHOR
Alexander Adamchuk, Jun 25 2007
EXTENSIONS
a(6)-a(8) from Robert G. Wilson v, Jun 30 2007
a(9)-a(10) from Robert Price, Nov 28 2013
a(11) from Bruce Garner, Mar 23 2021
a(12) from Bruce Garner, Aug 30 2021
a(13) from Paul W. Dyson, Apr 20 2023
STATUS
approved