A217601 Integer averages of squares of first primes.

4, 1314, 7128, 3081302, 4009568, 5312966, 16834447856, 2462344442400, 289274033242208, 46671783125431818542, 221000817555367050608, 618811172463743796896678, 13954866972387224169218132, 176536110349401666017009273532, 996528450408723697487070591774

Offset

1,1

Links

Paul W. Dyson, Table of n, a(n) for n = 1..16

OEIS Wiki, Sums of powers of primes divisibility sequences

Formula

a(n) = A217600(n)/A111441(n).

Example

a(2) = 1314 is the average of squares of first 19 primes (24966/19=1314).

Prog

(PARI) n=s=0; forprime(p=2, 1e8, s+=p^2; if(s%n++==0, print1(s/n", "))) \\ 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. A007504, A045345, A171399, A128165, A233523, A050247, A050248, A024450, A111441, A217599, A128166, A233862, A217600, A217601.

Sequence in context: A227850 A079711 A283260 * A172925 A167071 A274296

Adjacent sequences: A217598 A217599 A217600 * A217602 A217603 A217604

Keyword

nonn,more

Author

Robert Price, Mar 19 2013

Extensions

a(13) from Karl-Heinz Hofmann, Dec 08 2020

a(14) from Karl-Heinz Hofmann, Dec 26 2020

a(15) from Karl-Heinz Hofmann, Dec 27 2020

Status

approved