OFFSET
0,1
LINKS
Mathematics Stack Exchange, Infinite series involving Von Mangoldt's function.
Grant Sanderson, What makes the natural log "natural"?, 3Blue1Brown video (2020).
Eric Weisstein's World of Mathematics, Mangold Function.
Eric Weisstein's World of Mathematics, Prime Zeta Function.
FORMULA
EXAMPLE
Equals 1/(2^2) + 1/(3^2) + (1/(4^2))*(1/2) + 1/(5^2) + + 1/(7^2) + (1/(8^2))*(1/3) + ... = 0.4977003024707...
MATHEMATICA
RealDigits[Log[Pi^2/6], 10, 120][[1]]
RealDigits[Sum[PrimeZetaP[2 k]/k, {k, 1, inf}], 10, 120][[1]]
PROG
(PARI) log(Pi^2/6) \\ Michel Marcus, Sep 15 2020
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Terry D. Grant, Sep 11 2020
STATUS
approved