OFFSET
0,1
FORMULA
1/2^2 + (1/2)/3^2 + (1/2)*(2/3)/5^2 + (1/2)*(2/3)*(4/5)/7^2 + (1/2)*(2/3)*(4/5)*(6/7)/11^2 + ....
EXAMPLE
0.3300980353900221...
PROG
(PARI) primezeta(s)=my(t=s*log(2), iter=lambertw(t/eps())\t); sum(k=1, iter, moebius(k)/k*log(abs(zeta(k*s))))
Pz=primezeta(2); s=0; t=1.; forprime(p=2, 1e10, Pz-=1/p^2; s+=t/p^2; t*=1-1/p); s+t*Pz
CROSSREFS
KEYWORD
AUTHOR
Charles R Greathouse IV and Michel Marcus, Feb 28 2017
STATUS
approved