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%I #28 Dec 20 2015 13:52:27
%S 0,27,1,30,2,1,5,1,3,2,2,7,1,2,12,1,1,23,1,3,1,6,1,3,16,1,1,1,4,3,3,5,
%T 1,2,1,1,7,5,1,3,1,1,1,28,14,3,3,1,6,18,11,7,1,29,1,1,2,10,1,6,1,1,8,
%U 2,303,3,1,2,1,61,1,11,1,10,10,1,1,2,1,1,45,19,1,1,1,6,1,1,2,4,1
%N Continued fraction expansion of the prime zeta function at 5.
%C Continued fraction of Sum_{n>=1} 1/prime(n)^5 = 0.0357550174839242571328...
%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 1/2^5 + 1/3^5 + 1/5^5 +1/7^5 + 1/11^5 + 1/13^5 +... = 1/(27 + 1/(1 + 1/(30 + 1/(2 + 1/(1 + 1/(5 + 1/(1 + 1/(3 + 1/...)))))))).
%t ContinuedFraction[PrimeZetaP[5], 90]
%Y Cf. A013681, A085965.
%K nonn,cofr
%O 0,2
%A _Ilya Gutkovskiy_, Dec 16 2015
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