A071699 Greater members of twin prime pairs of form (4*k+3, 4*k+5), k >= 0.

5, 13, 61, 73, 109, 181, 193, 229, 241, 313, 349, 421, 433, 601, 661, 829, 1021, 1033, 1093, 1153, 1321, 1429, 1453, 1489, 1609, 1621, 1669, 1789, 1873, 1933, 2029, 2089, 2113, 2269, 2341, 2593, 2689, 2713, 3001, 3121, 3169, 3253, 3301

Offset: 1

Author

Reinhard Zumkeller, Jun 04 2002

Keywords

• nonn

Comments

Corresponding lesser members: A071698(n).

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A071696, A071698, A071700.

Cf. A010051, subsequence of A016813.

Intersection of A006512 and A002144.

Programs

Haskell

a071699 n = a071699_list !! (n-1)
a071699_list = [x | x <- [5, 9 ..], a010051' x == 1, a010051' (x-2) == 1]
-- Reinhard Zumkeller, Aug 05 2014

Magma

[4*(k+1)+1:k in [0..1000]|IsPrime(4*k+3) and IsPrime(4*k+5)]; // Marius A. Burtea, Nov 06 2019

Mathematica

#+2&/@Select[4Range[0,850]+3,PrimeQ[#]&&PrimeQ[#+2]&] (* Harvey P. Dale, Aug 24 2011 *)

Formula

a(n) = 2*A241557(n+1) + 1. - Hilko Koning, Nov 06 2019