A232869 Primes p such that the average of the fourth powers of primes up to p is an integer.

2, 26893, 741080929, 95114243761787, 146234140655742407

Offset

1,1

Comments

Otherwise said, prime(n) such that n divides prime(1)^4 + ... + prime(n)^4. The n-values (indices) are given in A125907.

Links

Table of n, a(n) for n=1..5.

Formula

a(n) = prime(A125907(n)).

Prog

(PARI) S=n=0; forprime(p=1, , (S+=p^4)%n++||print1(p", "))

Crossrefs

Cf. A171399, A111441, A217599 (analog for squares), A223936 (3rd powers), A224083 (5th powers), A232733 (6th powers), A232865 (7th powers), A232822 (8th powers), A232962 (9th powers), A233132 (10th powers).

Sequence in context: A131558 A133857 A349519 * A153912 A247790 A233460

Adjacent sequences: A232866 A232867 A232868 * A232870 A232871 A232872

Keyword

nonn,hard,more

Author

M. F. Hasler, Dec 01 2013

Extensions

a(4) from Bruce Garner, Feb 27 2021

a(5) from Paul W. Dyson, May 09 2024

Status

approved