OFFSET
1,1
COMMENTS
a(13) > 2760727302517.
a(15) > 30030360430649. - Paul W. Dyson, Jan 04 2021
a(16) > 730228645826551. - Bruce Garner, May 09 2021
a(17) > 3478864867883059. - Paul W. Dyson, Feb 04 2022
EXAMPLE
a(2) = 97, because 97 is the 25th prime and the sum of the first 25 primes^5 = 29014217650 when divided by 25 equals 1160568706 which is an integer.
MATHEMATICA
t = {}; sm = 0; Do[sm = sm + Prime[n]^5; If[Mod[sm, n] == 0, AppendTo[t, Prime[n]]], {n, 100000}]; t (* Derived from A217599 *)
CROSSREFS
Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.
KEYWORD
nonn,more
AUTHOR
Robert Price, Mar 30 2013
EXTENSIONS
a(13)-a(14) from Paul W. Dyson, Jan 04 2021
a(15) from Bruce Garner, May 09 2021
a(16) from Paul W. Dyson, Feb 04 2022
STATUS
approved