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A217601 Integer averages of squares of first primes. 91

%I #48 Sep 03 2022 09:41:04

%S 4,1314,7128,3081302,4009568,5312966,16834447856,2462344442400,

%T 289274033242208,46671783125431818542,221000817555367050608,

%U 618811172463743796896678,13954866972387224169218132,176536110349401666017009273532,996528450408723697487070591774

%N Integer averages of squares of first primes.

%H Paul W. Dyson, <a href="/A217601/b217601.txt">Table of n, a(n) for n = 1..16</a>

%H OEIS Wiki, <a href="/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>

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

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

%o (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

%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, A024450, A111441, A217599, A128166, A233862, A217600, A217601.

%K nonn,more

%O 1,1

%A _Robert Price_, Mar 19 2013

%E a(13) from _Karl-Heinz Hofmann_, Dec 08 2020

%E a(14) from _Karl-Heinz Hofmann_, Dec 26 2020

%E a(15) from _Karl-Heinz Hofmann_, Dec 27 2020

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)