OFFSET
1,1
COMMENTS
a(52) > 1005368767096627. - Bruce Garner, Jun 05 2021
a(53) > 4193009611262897. - Bruce Garner, Mar 28 2022
LINKS
Bruce Garner, Table of n, a(n) for n = 1..52
EXAMPLE
a(4) = 13, because 13 is the 6th prime and the sum of the first 6 primes^5 + 1 = 552552 when divided by 6 equals 92092 which is an integer.
MATHEMATICA
t = {}; sm = 1; Do[sm = sm + Prime[n]^5; If[Mod[sm, n] == 0, AppendTo[t, Prime[n]]], {n, 100000}]; t (* Derived from A217599 *)
PROG
(PARI) is(n)=if(!isprime(n), return(0)); my(t=primepi(n), s); forprime(p=2, n, s+=Mod(p, t)^5); s==0 \\ Charles R Greathouse IV, Nov 30 2013
CROSSREFS
Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.
KEYWORD
nonn
AUTHOR
Robert Price, Dec 18 2013
STATUS
approved