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Search: id:A091852
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| A091852 |
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Numerator of sum(i=1,n, prime(i)/prime(i+1)). |
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+0
2
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| 2, 19, 208, 3023, 52004, 1079263, 24845332, 663589691, 21809669044, 769910292199, 31595368408378, 1432693760237483, 67842962092519574, 3469898586979325623, 198354535000733806154, 12566530264688830748431
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Proposed by Mohammed BOUAYOUN, Feb 16 2004; computed by R. K. Guy, Feb 17 2004
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EXAMPLE
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The sums are f(1)=2/3, f(2)=2/3 + 3/5, f(3)=2/3+3/5+5/7, f(4)=2/3+3/5+5/7+7/11, ...
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MATHEMATICA
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A091852[n_] := Numerator[ Sum[ Prime[i] / Prime[i + 1], {i, n}]]; Table[ A091852[n], {n, 16}] (from Robert G. Wilson v Mar 16 2004)
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CROSSREFS
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Denominators are in A070826.
Sequence in context: A128970 A114016 A126039 this_sequence A024227 A106945 A125632
Adjacent sequences: A091849 A091850 A091851 this_sequence A091853 A091854 A091855
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KEYWORD
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nonn,frac
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AUTHOR
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njas, Mar 13 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 16 2004
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