%I #29 Jun 05 2021 11:34:17
%S 1,2,4,6,10,12,14,82,93,476,712,856,935,11104,11706,12234,19500,21490,
%T 31864,171252,628863,10189718,12363588,13976077,22321041,36642393,
%U 47563206,102352700,869166585,1197804361,1400403575,2199080290,5225532140,39957170689
%N Numbers k such that k divides 1 + Sum_{j=1..k} prime(j)^9.
%C a(49) > 3*10^13. - _Bruce Garner_, Jun 05 2021
%H Bruce Garner, <a href="/A232964/b232964.txt">Table of n, a(n) for n = 1..48</a> (first 34 terms from Robert Price)
%H OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>
%e a(5)=10 because 1 plus the sum of the first 10 primes^9 is 16762578985600 which is divisible by 10.
%t p = 2; k = 0; s = 1; lst = {}; While[k < 40000000000, s = s + p^9; If[Mod[s, ++k] == 0, AppendTo[lst, k]; Print[{k, p}]]; p = NextPrime@ p] (* derived from A128169 *)
%Y Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n).
%Y Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.
%Y Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.
%K nonn
%O 1,2
%A _Robert Price_, Dec 02 2013