A127552 Decimal expansion of the number 3.19644719338616871113868629540207517... having continued fraction expansion 3, 5, 11, 17, 29, 41, 59, 71, 101, 107, ... (lesser of twin primes A001359).
3, 1, 9, 6, 4, 4, 7, 1, 9, 3, 3, 8, 6, 1, 6, 8, 7, 1, 1, 1, 3, 8, 6, 8, 6, 2, 9, 5, 4, 0, 2, 0, 7, 5, 1, 7, 0, 8, 1, 9, 3, 4, 3, 1, 0, 9, 5, 0, 6, 2, 2, 9, 6, 9, 8, 6, 8, 3, 5, 7, 2, 6, 6, 9, 2, 9, 9, 9, 7, 4, 2, 6, 6, 8, 7, 5, 8, 1, 3, 0, 2, 1, 7, 7, 0, 1, 3, 0, 2, 7, 7, 0, 4, 1, 4, 2, 0, 6, 1, 5
Offset: 1
Programs
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Mathematica
a = {}; Do[If[PrimeQ[Prime[n] + 2], AppendTo[a, Prime[n]]], {n, 2, 500}]; RealDigits[N[FromContinuedFraction[a], 100]][[1]]
Extensions
a(100) corrected by Sean A. Irvine, Jul 09 2023