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A217601
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Integer averages of squares of first primes.
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91
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4, 1314, 7128, 3081302, 4009568, 5312966, 16834447856, 2462344442400, 289274033242208, 46671783125431818542, 221000817555367050608, 618811172463743796896678, 13954866972387224169218132, 176536110349401666017009273532, 996528450408723697487070591774
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OFFSET
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1,1
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LINKS
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Paul W. Dyson, Table of n, a(n) for n = 1..16
OEIS Wiki, Sums of powers of primes divisibility sequences
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FORMULA
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a(n) = A217600(n)/A111441(n).
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EXAMPLE
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a(2) = 1314 is the average of squares of first 19 primes (24966/19=1314).
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PROG
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(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
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CROSSREFS
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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
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KEYWORD
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nonn,more
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AUTHOR
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Robert Price, Mar 19 2013
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EXTENSIONS
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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
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STATUS
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approved
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