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%I #23 May 09 2024 07:16:11
%S 2,26893,741080929,95114243761787,146234140655742407
%N Primes p such that the average of the fourth powers of primes up to p is an integer.
%C Otherwise said, prime(n) such that n divides prime(1)^4 + ... + prime(n)^4. The n-values (indices) are given in A125907.
%F a(n) = prime(A125907(n)).
%o (PARI) S=n=0;forprime(p=1,,(S+=p^4)%n++||print1(p","))
%Y 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).
%K nonn,hard,more
%O 1,1
%A _M. F. Hasler_, Dec 01 2013
%E a(4) from _Bruce Garner_, Feb 27 2021
%E a(5) from _Paul W. Dyson_, May 09 2024