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A131263 Numbers k such that k divides 2^9 + 3^9 + 5^9 + ... + prime(k)^9. 2
1, 281525, 1011881, 13721649, 309777093, 417800903, 12252701193, 27377813605, 37762351523, 245773819141, 51230573255953, 82578361848569 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(12) > 5.5*10^13. - Paul W. Dyson, Mar 27 2021

a(13) > 10^14. - Bruce Garner, Jan 10 2022

LINKS

Table of n, a(n) for n=1..12.

OEIS Wiki, Sums of powers of primes divisibility sequences.

MATHEMATICA

s = 0; Do[s = s + Prime[n]^9; If[ Mod[s, n] == 0, Print[n]], {n, 1100000}]

PROG

(PARI) s=0; n=0; forprime(p=2, 1e9, s+=p^9; 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: A257151 A257158 A254740 * A235173 A245659 A321055

Adjacent sequences:  A131260 A131261 A131262 * A131264 A131265 A131266

KEYWORD

nonn,more,changed

AUTHOR

Alexander Adamchuk, Jun 25 2007, Jun 27 2007

EXTENSIONS

a(4) from Robert G. Wilson v, Jun 27 2007

a(5)-a(10) from Charles R Greathouse IV, Apr 14 2011

a(11) from Paul W. Dyson, Mar 27 2021

a(12) from Bruce Garner, Jan 10 2022

STATUS

approved

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Last modified January 23 23:01 EST 2022. Contains 350515 sequences. (Running on oeis4.)