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A119964
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Numerator of the n-th Artin product.
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0
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1, 5, 19, 779, 84911, 2632241, 713337311, 1163866139, 587752400195, 476667196558145, 2856927907113011, 345688276760674331, 13819099649042566549, 4988694973304366524189, 10780569837310736058772429
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OFFSET
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1,2
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COMMENTS
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Artin's constant (A005596) is equal to Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,Infinity}]. n-th Artin product is Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,n}].
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LINKS
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FORMULA
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a(n) = Numerator[ Product[ 1 - 1/(Prime[k]*(Prime[k]-1)), {k,1,n}]].
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MATHEMATICA
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Table[Numerator[Product[1-1/(Prime[k]*(Prime[k]-1)), {k, 1, n}]], {n, 1, 20}]
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CROSSREFS
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KEYWORD
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frac,nonn
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AUTHOR
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STATUS
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approved
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