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A119964
Numerator of the n-th Artin product.
0
1, 5, 19, 779, 84911, 2632241, 713337311, 1163866139, 587752400195, 476667196558145, 2856927907113011, 345688276760674331, 13819099649042566549, 4988694973304366524189, 10780569837310736058772429
OFFSET
1,2
COMMENTS
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}].
LINKS
Eric Weisstein's World of Mathematics, Artin's Constant.
FORMULA
a(n) = Numerator[ Product[ 1 - 1/(Prime[k]*(Prime[k]-1)), {k,1,n}]].
MATHEMATICA
Table[Numerator[Product[1-1/(Prime[k]*(Prime[k]-1)), {k, 1, n}]], {n, 1, 20}]
CROSSREFS
KEYWORD
frac,nonn
AUTHOR
Alexander Adamchuk, Aug 03 2006
STATUS
approved