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 A131272 Numbers k such that k divides Sum_{j=1..k} prime(j)^12. 2
 1, 37, 7187, 3140407, 4986959, 5139161, 751213639, 163007938237, 5134788477263, 36197588005399, 940901369608517 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(11) > 4*10^13. - Bruce Garner, Aug 30 2021 a(12) > 10^15. - Paul W. Dyson, Jan 04 2024 LINKS Table of n, a(n) for n=1..11. OEIS Wiki, Sums of powers of primes divisibility sequences. MATHEMATICA s = 0; Do[s = s + Prime[n]^12; If[ Mod[s, n] == 0, Print[n]], {n, 1000000}] PROG (PARI) s=0; n=0; forprime(p=2, 1e9, s+=p^12; if(s%n++==0, print1(n", "))) \\ Charles R Greathouse IV, Apr 14 2011 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: A296687 A297653 A273196 * A219105 A219984 A083117 Adjacent sequences: A131269 A131270 A131271 * A131273 A131274 A131275 KEYWORD nonn AUTHOR Alexander Adamchuk, Jun 25 2007, Jun 28 2007 EXTENSIONS a(4)-a(6) from Robert G. Wilson v, Jun 30 2007 a(7)-a(8) from Charles R Greathouse IV, Apr 14 2011 a(9) from Bruce Garner, Mar 23 2021 a(10) from Bruce Garner, Aug 30 2021 a(11) from Paul W. Dyson, Jan 04 2024 STATUS approved

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Last modified May 24 11:32 EDT 2024. Contains 372773 sequences. (Running on oeis4.)