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%I #26 Mar 19 2021 06:59:51
%S 1,0,0,5,3,3,0,0,9,3,9,4,6,8,9,1,3,4,6,5,7,3,3,8,4,4,0,0,6,0,8,0,1,0,
%T 0,3,2,6,1,2,7,0,9,8,9,2,2,0,3,8,8,3,7,1,7,4,1,8,0,3,8,2,0,6,5,8,4,9,
%U 0,4,0,4,5,6,9,9,4,0,4,6,4,0,0,4,6,5,7,6,5,2,9,1,5,6,3,0,3,6,2,7,6,9,0,9,6
%N Decimal expansion of sum of reciprocals of fourth powers of the nonprime numbers.
%F Sum_{n>=1} 1/A018252(n)^4.
%F Sum_{n>=1} 1/n^4 - Sum_{n>=1} 1/A000040(n)^4.
%F Equals zeta(4) - primezeta(4) = A013662 - A085964.
%e Equals 1/1^4 + 1/4^4 + 1/6^4 + 1/8^4 + 1/9^4... =
%e 1.0053300939468913465733844006080...
%t RealDigits[Zeta[4] - PrimeZetaP[4], 10, 105][[1]]
%o (PARI) zeta(4) - sumeulerrat(1/p, 4) \\ _Amiram Eldar_, Mar 19 2021
%Y Cf. A018252, A013662, A085964.
%K nonn,cons
%O 1,4
%A _Terry D. Grant_, Apr 14 2017
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