OFFSET
1,2
COMMENTS
a(211) > 3.0*10^13. - Bruce Garner, Jun 06 2021
LINKS
Bruce Garner, Table of n, a(n) for n = 1..210 (first 174 terms from Robert Price)
EXAMPLE
a(5)=6 because 1 plus the sum of the first 6 primes^10 is 164088217398 which is divisible by 6.
MATHEMATICA
p = 2; k = 0; s = 1; lst = {}; While[k < 41000000000, s = s + p^10; If[Mod[s, ++k] == 0, AppendTo[lst, k]; Print[{k, p}]]; p = NextPrime@ p] (* derived from A128169 *)
Module[{nn=3600, sp}, sp=Accumulate[Prime[Range[nn]]^10]; Select[ Range[ nn], Divisible[ sp[[#]]+1, #]&]] (* Harvey P. Dale, Sep 18 2018 *)
CROSSREFS
Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n).
KEYWORD
nonn
AUTHOR
Robert Price, Dec 04 2013
STATUS
approved