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A125827 Numbers m that divide 2^11 + 3^11 + 5^11 + ... + prime(m)^11. 2
1, 25, 59, 2599, 6195, 421407, 11651191, 19293221, 255136097, 1820015683, 2183556659, 7993872143, 9850779563, 2006892138335, 2649677145789, 6645858099781 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(17) > 8*10^12. - Bruce Garner, Mar 29 2021

LINKS

Table of n, a(n) for n=1..16.

OEIS Wiki, Sums of powers of primes divisibility sequences.

MATHEMATICA

s = 0; Do[s = s + Prime[n]^11; If[ Mod[s, n] == 0, Print[n]], {n, 7000}]

PROG

(PARI) s=0; n=0; forprime(p=2, 4e9, s+=p^11; if(s%n++==0, print1(n", "))) \\ Charles R Greathouse IV, Mar 20 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: A036305 A257708 A266817 * A250191 A163654 A063317

Adjacent sequences:  A125824 A125825 A125826 * A125828 A125829 A125830

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk, Feb 03 2007

EXTENSIONS

3 more terms from Stefan Steinerberger, Jun 06 2007

1 more term from Sean A. Irvine, Jan 26 2011

a(10)-a(13) from Charles R Greathouse IV, Mar 20 2011

a(14) from Paul W. Dyson, Jan 08 2021

a(15) from Bruce Garner, Mar 08 2021

a(16) from Bruce Garner, Mar 29 2021

STATUS

approved

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Last modified May 11 13:41 EDT 2021. Contains 343791 sequences. (Running on oeis4.)