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A119534
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Largest prime divisor of numerator of the n-th Artin's product.
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2
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5, 19, 41, 109, 109, 271, 271, 271, 811, 929, 929, 929, 929, 2161, 2161, 2161, 3659, 4421, 4969, 4969, 4969, 4969, 4969, 9311, 10099, 10099, 10099, 10099, 10099, 16001, 17029, 17029, 19181, 22051, 22051, 22051, 22051, 22051, 22051, 22051, 32579
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| Artin's constant (A005596) is equal to Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,Infinity}]. n-th Artin's product is Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,n}]. a(n) is prime from A091568 of the form p^2-p-1, where p is prime from A091567.
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LINKS
| Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. Artin's Constant.
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FORMULA
| a(n) = Max[FactorInteger[Numerator[Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,n}]]]].
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MATHEMATICA
| Table[Max[FactorInteger[Numerator[Product[1-1/(Prime[k]*(Prime[k]-1)), {k, 1, n}]]]], {n, 2, 100}]
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CROSSREFS
| Cf. A091568, A091567, A005596, A048296.
Sequence in context: A155737 A140761 A100572 * A033622 A091568 A147307
Adjacent sequences: A119531 A119532 A119533 * A119535 A119536 A119537
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KEYWORD
| frac,nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 27 2006
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