A378485 Decimal expansion of Product_{p prime} (1 + 1/p^(5/4) + 1/p^(3/2) + 1/p^(7/4)).
9, 6, 6, 9, 4, 7, 5, 4, 8, 4, 3, 8, 2, 3, 6, 8, 1, 0, 6, 5, 0, 0, 6, 6, 6, 9, 4, 3, 2, 0, 0, 8, 1, 7, 9, 3, 8, 0, 9, 2, 7, 2, 4, 8, 4, 4, 4, 7, 6, 3, 8, 8, 8, 7, 0, 7, 8, 4, 6, 2, 6, 5, 7, 1, 3, 9, 3, 3, 9, 3, 8, 6, 8, 1, 2, 5, 1, 9, 3, 5, 5, 6, 1, 1, 1, 9, 6, 3, 1, 4, 2, 8, 4, 0, 3, 0, 3, 3, 4, 1
Offset: 1
Examples
9.669475484382368106500666943200817938092724844476...
References
- Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.6.1, p. 114.
Programs
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PARI
prodeulerrat(1 + 1/p^5 + 1/p^6 + 1/p^7, 1/4)