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%I #87 Sep 03 2022 09:40:48
%S 4,24966,263736,1401992410,2040870112,3054955450,346739122490032,
%T 499159078330000800,539391065522650998496,
%U 25318239660367402306502991202,251882074412384639674100925616,31734804589156174948658730855096778,3209990334856119248883461357431048564,3910080232300154696097509520638192488259772
%N Sum of the squares of the first A111441(n) primes.
%C a(n) - A111441(a(n)) - 11 == 0 (mod 24) for n > 1. This is similar to the relation between A000027 and A024450. - _Karl-Heinz Hofmann_, Jan 11 2021
%H Paul W. Dyson, <a href="/A217600/b217600.txt">Table of n, a(n) for n = 1..16</a> (terms 1..12 from Robert Price, 13 from Willem Hengeveld, 14..15 from Bruce Garner).
%H OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>
%o (PARI) n=s=0; forprime(p=2,1e8, s+=p^2; if(s%n++==0, print1(s", "))) \\ _Charles R Greathouse IV_, Apr 22 2015
%Y Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n).
%Y Cf. also A007504, A045345, A171399, A128165, A233523, A050247, A050248, A024450, A111441, A217599, A128166, A233862, A217600, A217601.
%K nonn
%O 1,1
%A _Robert Price_, Mar 19 2013
%E a(13) from _Willem Hengeveld_, Nov 29 2020
%E a(14) from _Bruce Garner_, Dec 16 2020
%E a(15) from _Bruce Garner_, Dec 24 2020
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