A272028 Decimal expansion of Product_{p prime} (1+1/p)^(1/p), an infinite product considered and computed by Marc Deléglise.

1, 4, 6, 8, 1, 9, 1, 1, 2, 2, 3, 2, 2, 9, 9, 3, 7, 8, 1, 0, 7, 9, 1, 0, 1, 7, 5, 5, 6, 5, 5, 5, 5, 4, 8, 6, 1, 9, 2, 1, 8, 2, 3, 3, 4, 3, 1, 3, 3, 0, 1, 5, 1, 9, 6, 6, 9, 8, 3, 3, 2, 9, 4, 0, 7, 1, 2, 5, 1, 1, 1, 4, 9, 8, 4, 7, 2, 0, 9, 5, 7, 2, 4, 9, 4, 4, 2, 4, 4, 2, 3, 4, 6, 9, 4, 9, 2, 7

Offset

1,2

References

Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 2.9 p. 122.

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Example

1.46819112232299378107910175565555486192182334313301519669833294...

Mathematica

digits = 98; Exp[NSum[(-1)^(n-1)*PrimeZetaP[n-1]/(n-2), {n, 3, Infinity}, WorkingPrecision -> digits+10, Method -> "AlternatingSigns"]] // RealDigits[#, 10, digits]& // First

Crossrefs

Cf. A242623 (same product without restriction to primes).

Sequence in context: A263357 A195387 A326426 * A181097 A206798 A200366

Adjacent sequences: A272025 A272026 A272027 * A272029 A272030 A272031

Keyword

nonn,cons

Author

Jean-François Alcover, Apr 18 2016

Status

approved