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A061015 Numerator of Sum_{i=1..n} 1/p(i)^2, p(i) = i-th prime. +0
6
1, 13, 361, 18589, 2293369, 392915461, 114454369129, 41578647715669, 22089188627685001, 18626778064527922741, 17942190650501641587001, 24603083510737933160021269, 41412850736015889039729489289 (list; graph; listen)
OFFSET

1,2

COMMENT

See also A075986, A075987. - Zak Seidov (zakseidov(AT)yahoo.com), Sep 28 2002

FORMULA

a(1) = 1; a(n) = a(n-1)*p(n)^2+(p(1)*...*p(n-1))^2. - Zak Seidov (zakseidov(AT)yahoo.com), Sep 28 2002

MAPLE

summ := 0: for n from 1 to 100 do if (isprime(n)) then summ := summ + 1/n^2; printf("%d, ", numer(summ)); #printf("%d, ", denom(summ)); end if; od; evalf(summ);

CROSSREFS

Sequence in context: A160396 A078738 A165391 this_sequence A009040 A009085 A012013

Adjacent sequences: A061012 A061013 A061014 this_sequence A061016 A061017 A061018

KEYWORD

easy,nonn

AUTHOR

Winston C. Yang (winston(AT)cs.wisc.edu), May 21 2001

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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