|
%I #5 Apr 26 2018 17:41:21
%S 0,0,5,9,4,0,6,8,9,0,3,9,1,4,8,1,9,6,1,4,2,5,5,0,5,9,2,8,2,9,0,1,6,6,
%T 0,9,0,1,9,3,6,8,1,8,9,5,0,5,9,2,9,3,5,1,0,7,5,1,6,6,8,1,3,1,6,9,8,8,
%U 8,9,8,3,4,6,0,2,5,7,9,7,5,8,4,2,6,9,1,2,1,8,4,0,2,0,5,3,2,5,0,8,9,2,4,1,3
%N Decimal expansion of Sum_{p prime} log(p)/p^7.
%C The negated first derivative of the Prime Zeta function at 7.
%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/PrimeZetaFunction.html">Prime Zeta Function</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Prime_zeta_function">Prime Zeta Function</a>
%e 0.00594068903914819614255059282901660901936818950592935107516681316988898...
%t RealDigits[PrimeZetaP'[7], 10, 103][[1]]
%Y Decimal expansion of Sum_{p prime} log(p)/p^k: A136271 (k=2), A303493 (k=3), A303494 (k=4), A303495 (k=5), A303496 (k=6), A303497 (k=7), A303498 (k=8), A303499 (k=9).
%K nonn,cons
%O 0,3
%A _Jean-François Alcover_, Apr 25 2018
|
