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Search: id:A061015
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| A061015 |
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Numerator of Sum_{i=1..n} 1/p(i)^2, p(i) = i-th prime. |
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+0 6
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| 1, 13, 361, 18589, 2293369, 392915461, 114454369129, 41578647715669, 22089188627685001, 18626778064527922741, 17942190650501641587001, 24603083510737933160021269, 41412850736015889039729489289
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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See also A075986, A075987. - Zak Seidov (zakseidov(AT)yahoo.com), Sep 28 2002
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FORMULA
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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
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MAPLE
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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);
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CROSSREFS
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Sequence in context: A160396 A078738 A165391 this_sequence A009040 A009085 A012013
Adjacent sequences: A061012 A061013 A061014 this_sequence A061016 A061017 A061018
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KEYWORD
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easy,nonn
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AUTHOR
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Winston C. Yang (winston(AT)cs.wisc.edu), May 21 2001
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