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Numerator of Sum_{i=1..n} 1/prime(i)^3.
5

%I #5 Oct 10 2021 22:41:48

%S 1,35,4591,1601713,2141141003,4716413174591,23198819007792583,

%T 159253748925534977797,1938552948676080555065099,

%U 47290471293028435532185602511,1409101231790431848106470385672201

%N Numerator of Sum_{i=1..n} 1/prime(i)^3.

%C Denominators = A115964. See also: A024451 Numerator of Sum_{i=1..n} 1/prime(i). A002110 Primorial [denominator of Numerator of Sum_{i=1..n} 1/prime(i)]. A061015 Numerator of Sum_{i=1..n} 1/prime(i)^2.

%F a(n) = Numerator of Sum_{i=1..n} 1/A000040(i)^3.

%e 1/8, 35/216, 4591/27000, 1601713/9261000, 2141141003/12326391000, 4716413174591/27081081027000.

%Y Cf. A000040, A075986/A075987, A106830/A034386.

%K easy,frac,nonn

%O 1,2

%A _Jonathan Vos Post_, Mar 14 2006