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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
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.
Sequence in context: A296687 A297653 A273196 * A219105 A219984 A083117
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.)