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

1,1

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

Prog

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

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.

Sequence in context: A203037 A241214 A034014 * A275684 A001376 A053937

Adjacent sequences: A217597 A217598 A217599 * A217601 A217602 A217603

Keyword

nonn

Author

Robert Price, Mar 19 2013

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

Status

approved