A131276 Numbers m such that m divides Sum_{k=1..m} prime(k)^16.

1, 3131, 6289, 323807, 443371, 83802527023, 4076111200313

Offset

1,2

Comments

a(7) > 10^11. - Paul W. Dyson, Dec 30 2020

a(8) > 4.1*10^12. - Bruce Garner, Mar 24 2021

Links

Table of n, a(n) for n=1..7.

OEIS Wiki, Sums of powers of primes divisibility sequences.

Mathematica

s = 0; Do[s = s + Prime[n]^16; If[ Mod[s, n] == 0, Print[n]], {n, 500000}]
Transpose[Select[With[{nn=500000}, Thread[{Range[nn], Accumulate[ Prime[ Range[nn]]^16]}]], Divisible[ #[[2]], #[[1]]]&]][[1]]

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: A234118 A218160 A045172 * A045075 A071143 A284984

Adjacent sequences: A131273 A131274 A131275 * A131277 A131278 A131279

Keyword

more,nonn,less

Author

Alexander Adamchuk, Jun 25 2007

Extensions

a(6) from Paul W. Dyson, Dec 30 2020

a(7) from Bruce Garner, Mar 24 2021

Status

approved