A119534 -id:A119534 - cp's OEIS frontend

A119964 Numerator of the n-th Artin product.

1, 5, 19, 779, 84911, 2632241, 713337311, 1163866139, 587752400195, 476667196558145, 2856927907113011, 345688276760674331, 13819099649042566549, 4988694973304366524189, 10780569837310736058772429

Offset: 1

Alexander Adamchuk, Aug 03 2006

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}].

Eric Weisstein's World of Mathematics, Artin's Constant.

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

Table[Numerator[Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,n}]],{n,1,20}]

a(n) = Numerator[ Product[ 1 - 1/(Prime[k]*(Prime[k]-1)), {k,1,n}]].

A119978 Denominator of the n-th Artin product.

Original entry on oeis.org

2, 12, 48, 2016, 221760, 6918912, 1881944064, 3079544832, 1558249684992, 1265298744213504, 7591792465281024, 919297051250393088, 36771882050015723520, 13282003796465679335424

Offset: 1

Alexander Adamchuk, Aug 03 2006

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}].

Eric Weisstein's World of Mathematics, Artin's Constant.

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

Table[Denominator[Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,n}]],{n,1,20}]

a(n) = Denominator[ Product[ 1 - 1/(Prime[k]*(Prime[k]-1)), {k,1,n}]].

cp's OEIS Frontend

A119964 Numerator of the n-th Artin product.

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