%I #7 Jul 09 2023 19:31:27
%S 5,1,4,1,3,1,0,5,3,0,8,6,2,7,3,1,0,4,8,9,0,6,8,0,8,9,8,6,1,2,9,1,8,2,
%T 2,3,6,9,5,5,6,6,3,2,9,5,2,0,3,1,8,3,5,0,9,9,4,7,9,8,4,0,5,2,7,3,4,1,
%U 6,1,6,2,2,0,8,6,9,1,3,1,6,8,6,8,1,4,8,4,1,7,6,7,3,1,2,2,4,0,1,9
%N Decimal expansion of the number 5.1413105308627310489... having continued fraction expansion 5, 7, 13, 19, 31, 43, 61, 73, 103, 109, 139, 151, 181, ... (greater of twin primes A006512).
%t a = {}; Do[If[PrimeQ[Prime[n] + 2], AppendTo[a, 2 + Prime[n]]], {n, 2, 500}]; RealDigits[N[FromContinuedFraction[a], 100]][[1]]
%Y Cf. A064442, A127549, A127550, A127551, A127552, A127555, A127556, A127557, A127558, A127559.
%K nonn,cons
%O 1,1
%A _Artur Jasinski_, Apr 20 2007
%E a(99)-a(100) corrected by _Sean A. Irvine_, Jul 09 2023
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