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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(13) > 4*10^13. - Bruce Garner, Aug 30 2021 LINKS OEIS Wiki, Sums of powers of primes divisibility sequences. 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. Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248. Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601. Sequence in context: A199031 A125435 A086943 * A023021 A022651 A267266 Adjacent sequences:  A131270 A131271 A131272 * A131274 A131275 A131276 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 STATUS approved

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Last modified May 27 16:48 EDT 2022. Contains 354110 sequences. (Running on oeis4.)