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A232869 Primes p such that the average of the fourth powers of primes up to p is an integer. 0
2, 26893, 741080929 (list; graph; refs; listen; history; text; internal format)
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..3.

FORMULA

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

PROG

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

CROSSREFS

Cf. A232822 (analog for 8th powers), A232865 (analog for 7th powers), A224083 (5th powers), A111441 (cubes).

Sequence in context: A237521 A131558 A133857 * A153912 A247790 A233460

Adjacent sequences:  A232866 A232867 A232868 * A232870 A232871 A232872

KEYWORD

nonn,more,hard

AUTHOR

M. F. Hasler, Dec 01 2013

STATUS

approved

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Last modified January 22 14:04 EST 2020. Contains 331150 sequences. (Running on oeis4.)