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A131264
Numbers k such that k divides 2^10 + 3^10 + 5^10 + ... + prime(k)^10.
2
1, 269, 41837, 36626159, 154578947, 2155054465, 19410890423, 30691222355, 247555091527, 2201220228533, 227735225320519
OFFSET
1,2
COMMENTS
a(11) > 2.6*10^12. - Bruce Garner, Mar 06 2021
MATHEMATICA
s = 0; Do[s = s + Prime[n]^10; If[ Mod[s, n] == 0, Print[n]], {n, 1000000}]
PROG
(PARI) s=0; n=0; forprime(p=2, 1e9, s+=p^10; 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: A054803 A251216 A166807 * A053322 A274328 A025393
KEYWORD
nonn,more
AUTHOR
Alexander Adamchuk, Jun 25 2007
EXTENSIONS
a(4) & a(5) from Robert G. Wilson v, Jun 28 2007
a(6)-a(9) from Charles R Greathouse IV, Apr 14 2011
a(10) from Bruce Garner, Mar 06 2021
a(11) from Paul W. Dyson, Jul 09 2023
STATUS
approved