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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 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..15.

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

Cf. A119534, A091568, A091567, A005596, A048296.

Sequence in context: A092663 A072526 A095218 * A270477 A279256 A174490

Adjacent sequences:  A119961 A119962 A119963 * A119965 A119966 A119967

KEYWORD

frac,nonn

AUTHOR

Alexander Adamchuk, Aug 03 2006

STATUS

approved

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Last modified September 22 17:16 EDT 2020. Contains 337291 sequences. (Running on oeis4.)