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.
%I A340565 #32 Feb 14 2025 09:22:26
%S A340565 1,0,5,6,9,3,2,2,9,1,4
%N A340565 Decimal expansion of the Product_{lesser twin primes p == 5 (mod 6)} 1/(1 - 1/p^2).
%C A340565 Lesser twin primes A001359 (with the exception of the first prime, 3) are congruent to 5 mod 6: this constant is smaller than A340576.
%C A340565 By extrapolating method most probably the next two decimal digits are 1.056932291(46).
%C A340565 The known high-precision algorithms for Euler products are based on the Dirichlet L function and the Moebius inversion formula (see Mathematica procedure of _Jean-François Alcover_ in A175646).
%C A340565 The constant is between 1.056932291453... and 1.056932291494. - _R. J. Mathar_, Feb 14 2025
%e A340565 1.0569322914...
%Y A340565 Cf. A005596, A065463, A065465, A065483, A065485, A065489, A065493, A072691, A082695, A111003, A175646.
%K A340565 nonn,cons,hard,more
%O A340565 1,3
%A A340565 _Artur Jasinski_, Jan 11 2021
%E A340565 One more digit confirmed by a bracketing of partial products - _R. J. Mathar_, Feb 14 2025