

A232869


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


0




OFFSET

1,1


COMMENTS

Otherwise said, prime(n) such that n divides prime(1)^4 + ... + prime(n)^4. The nvalues (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



