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.

A114907 Decimal expansion of twice the twin primes constant defined in A005597.

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%I A114907 #20 Feb 16 2025 08:33:00
%S A114907 1,3,2,0,3,2,3,6,3,1,6,9,3,7,3,9,1,4,7,8,5,5,6,2,4,2,2,0,0,2,9,1,1,1,
%T A114907 5,5,6,8,6,5,2,4,6,7,2,0,5,6,9,4,6,6,8,2,6,6,3,8,8,9,6,8,4,6,6,7,0,8,
%U A114907 1,1,2,8,4,6,0,8,9,9,0,5,5,4,2,8,7,5,2,0,0,6,2,8,2,7,6,7,9,7,3,5,8,2
%N A114907 Decimal expansion of twice the twin primes constant defined in A005597.
%D A114907 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.1, p. 85.
%H A114907 Alexei Kourbatov, <a href="http://arxiv.org/abs/1610.03340">On the distribution of maximal gaps between primes in residue classes</a>, arXiv:1610.03340 [math.NT], 2016-2018.
%H A114907 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TwinPrimesConstant.html">Twin Primes Constant</a>.
%H A114907 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeConstellation.html">Prime Constellation</a>.
%F A114907 Equals 2*A005597 (in the sense of the corresponding decimal numbers).
%e A114907 1.320323631693739147855624220...
%o A114907 (PARI) 2 * prodeulerrat(1-1/(p-1)^2, 1, 3) \\ _Amiram Eldar_, Mar 16 2021
%Y A114907 Cf. A005597.
%K A114907 nonn,cons
%O A114907 1,2
%A A114907 _Eric W. Weisstein_, Jan 06 2006
%E A114907 Corrected offset and edited by _M. F. Hasler_, Dec 09 2008