%I #8 Dec 20 2015 13:54:34

%S 0,5,1,2,1,1,2,17,4,1,7,1,1,5,24,1,1,2,3,11,1,3,23,1,1,2,1,3,1,6,1,4,

%T 3,3,1,2,1,4,1,1,3,1,1,1,2,23,2,6,2,2,1,1,7,3,13,1,1,2,6,1,5,5,1,2,1,

%U 1,1,1,2,1,3,1,28,2,1,4,10,3,2,1,1,2,1,3,1,1

%N Continued fraction expansion of the prime zeta function at 3.

%C Continued fraction of Sum_{n>=1} 1/prime(n)^3 = 0.1747626392994435364231...

%H Eric Weisstein's World of Mathematics, <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>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%H <a href="/index/Z#zeta_function">Index entries for zeta function</a>

%e 1/2^3 + 1/3^3 + 1/5^3 +1/7^3 + 1/11^3 + 1/13^3 +... = 1/(5 + 1/(1 + 1/(2 + 1/(1 + 1/(1 + 1/(2 + 1/(17 + 1/(4 + 1/…)))))))).

%t ContinuedFraction[PrimeZetaP[3], 85]

%Y Cf. A085541, A013631.

%K nonn,cofr

%O 0,2

%A _Ilya Gutkovskiy_, Dec 16 2015