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A232869
Primes p such that the average of the fourth powers of primes up to p is an integer.
3
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.
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
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