A300892 Decimal expansion of log(zeta(Pi)).
1, 6, 2, 3, 2, 4, 3, 8, 8, 2, 0, 1, 0, 3, 9, 2, 4, 2, 6, 5, 3, 1, 9, 4, 3, 8, 5, 9, 2, 1, 4, 4, 6, 0, 3, 1, 6, 5, 8, 3, 0, 9, 4, 7, 1, 1, 7, 5, 2, 2, 1, 2, 5, 4, 6, 6, 6, 8, 1, 7, 7, 7, 9, 6, 6, 8, 5, 7, 4, 5, 7, 0, 8, 5, 0, 7, 8, 8, 3, 1, 0, 8, 3, 2, 3, 4, 5, 3, 9, 4, 8, 4, 3, 1
Offset: 0
Examples
0.162324388201039242653194385921446031658309471175221254666817779668574570...
Links
- Eric Weisstein's World of Mathematics, Prime Zeta Function.
Programs
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Mathematica
RealDigits[Log[Zeta[Pi]], 10, 100][[1]]
Formula
Equals Sum_{j>0} P(Pi*j)/j, where P(k) is the prime zeta function of k.