A108170 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).

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, 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, 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

Offset: 1

Author

Artur Jasinski, Apr 20 2007

Keywords

• nonn
• cons

Crossrefs

Cf. A064442, A127549, A127550, A127551, A127552, A127555, A127556, A127557, A127558, A127559.

Programs

Mathematica

a = {}; Do[If[PrimeQ[Prime[n] + 2], AppendTo[a, 2 + Prime[n]]], {n, 2, 500}]; RealDigits[N[FromContinuedFraction[a], 100]][[1]]

Extensions

a(99)-a(100) corrected by Sean A. Irvine, Jul 09 2023