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Decimal expansion of twice the twin primes constant defined in A005597.
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%I #19 Nov 24 2024 16:16:33

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

%D Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.1, p. 85.

%H 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 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TwinPrimesConstant.html">Twin Primes Constant</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeConstellation.html">Prime Constellation</a>.

%F Equals 2*A005597 (in the sense of the corresponding decimal numbers).

%e 1.320323631693739147855624220...

%o (PARI) 2 * prodeulerrat(1-1/(p-1)^2, 1, 3) \\ _Amiram Eldar_, Mar 16 2021

%Y Cf. A005597.

%K nonn,cons,changed

%O 1,2

%A _Eric W. Weisstein_, Jan 06 2006

%E Corrected offset and edited by _M. F. Hasler_, Dec 09 2008