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Search: id:A094661
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| A094661 |
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Numerator of the sum of the ratios of consecutive primes. |
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+0
3
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| 3, 19, 137, 1289, 16909, 259087, 4975049, 106267661, 2725447213, 85953848147, 2903947942067, 115669053951809, 5061522951820999, 231945249314081827, 11594813068340357459, 650803589794759938517, 40385350464999429101033
(list; graph; listen)
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OFFSET
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2,1
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FORMULA
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a(n) = numerator(Sum(prime(k+1)/prime(k), k=1..n)
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MATHEMATICA
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s=0; lst={}; Do[p=Prime[n]; r=Prime[n+1]; AppendTo[lst, Numerator[s+=r/p]], {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 24 2009]
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PROGRAM
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(PARI) consec(n) = { y=0; forprime(x=2, n, y+=nextprime(x+1)/x; z=numerator(y); print1(z", ") ) }
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CROSSREFS
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Sequence in context: A035086 A105797 A138513 this_sequence A094662 A115750 A156894
Adjacent sequences: A094658 A094659 A094660 this_sequence A094662 A094663 A094664
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KEYWORD
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nonn,frac
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Jun 06 2004
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