cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A260623 Decimal expansion of the real solution x to zeta(x) - primezeta(x) = 2.

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%I A260623 #21 May 08 2021 08:37:05
%S A260623 1,4,2,5,7,1,0,4,1,1,6,1,3,1,8,1,6,5,1,7,8,2,3,6,8,3,6,7,5,4,8,5,5,0,
%T A260623 5,6,9,3,3,9,1,8,6,2,0,5,3,4,6,2,4,7,3,5,9,4,9,4,9,4,7,6,7,4,3,6,6,8,
%U A260623 7,3,0,4,5,6,7,5,6,1,7,5,0,1,6,7,7,8,6
%N A260623 Decimal expansion of the real solution x to zeta(x) - primezeta(x) = 2.
%C A260623 This is also the solution x to Sum_{c composite}(1/c^x) = 1.
%H A260623 Hiroaki Yamanouchi, <a href="/A260623/b260623.txt">Table of n, a(n) for n = 1..100</a>
%e A260623 1.4257...
%t A260623 x /. FindRoot[Zeta[x] - PrimeZetaP[x] == 2, {x, 3/2}, WorkingPrecision -> 100] // RealDigits // First (* _Jean-François Alcover_, May 07 2021 *)
%o A260623 (PARI) solve(x=1.1, 2, zeta(x) - sumeulerrat(1/p, x) - 2) \\ _Michel Marcus_, May 07 2021
%Y A260623 For the prime analog, see A243350.
%K A260623 nonn,cons
%O A260623 1,2
%A A260623 _Matthew Campbell_, Oct 06 2015
%E A260623 a(6) corrected and a(7)-a(87) added by _Hiroaki Yamanouchi_, Nov 12 2015