A217600 Sum of the squares of the first A111441(n) primes.

4, 24966, 263736, 1401992410, 2040870112, 3054955450, 346739122490032, 499159078330000800, 539391065522650998496, 25318239660367402306502991202, 251882074412384639674100925616, 31734804589156174948658730855096778, 3209990334856119248883461357431048564, 3910080232300154696097509520638192488259772

Offset: 1

Author

Robert Price, Mar 19 2013

Keywords

• nonn

Comments

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

Links

• Paul W. Dyson, Table of n, a(n) for n = 1..16 (terms 1..12 from Robert Price, 13 from Willem Hengeveld, 14..15 from Bruce Garner).
• OEIS Wiki, Sums of powers of primes divisibility sequences

Crossrefs

Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n).

Cf. also A007504, A045345, A171399, A128165, A233523, A050247, A050248, A024450, A111441, A217599, A128166, A233862, A217600, A217601.

Programs

PARI

n=s=0; forprime(p=2,1e8, s+=p^2; if(s%n++==0, print1(s", "))) \\ Charles R Greathouse IV, Apr 22 2015

Extensions

a(13) from Willem Hengeveld, Nov 29 2020

a(14) from Bruce Garner, Dec 16 2020

a(15) from Bruce Garner, Dec 24 2020