OFFSET
-2,1
LINKS
Carl Pomerance, Andrzej Schinzel, Multiplicative Properties of Sets of Residues, Moscow Journal of Combinatorics and Number Theory. 2011. Vol. 1. Iss. 1. pp. 52-66. See p. 62.
FORMULA
Sum_{p prime} 1/(p^2-1)^5.
Sum_{n>0} (n(n-1)(n-2)(n-3)/24) P(2n+2) where P is the prime zeta P function.
EXAMPLE
0.0041458734752589561953246788705905178175419314056228792995578813128...
MATHEMATICA
digits = 102; m0 = 2 digits; Clear[rd]; rd[m_] := rd[m] = RealDigits[eta5 = Sum[n(n-1)(n-2)(n-3)/24 PrimeZetaP[2n+2], {n, 1, m}], 10, digits][[1]]; rd[m0]; rd[m = 2 m0]; While[rd[m] != rd[m - m0], Print[m]; m = m + m0]; Print[N[eta5, digits]]; rd[m]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Mar 17 2019
STATUS
approved