A088762 Numbers n such that (2n-1, 2n+3) is a cousin prime pair.

2, 4, 7, 10, 19, 22, 34, 40, 49, 52, 55, 64, 82, 97, 112, 115, 139, 154, 157, 175, 190, 199, 220, 229, 232, 244, 250, 307, 322, 337, 370, 379, 385, 412, 427, 430, 439, 442, 454, 469, 484, 505, 544, 547, 607, 640, 649, 652, 712, 715, 724, 742, 745, 775, 784, 790

Offset: 1

Author

Ray Chandler, Oct 26 2003

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..4200
• Eric Weisstein's World of Mathematics, Cousin Primes

Crossrefs

Essentially the same as A111981.

Cf. A087679, A088764, A088766, A088768, A088770.

Programs

Magma

[n: n in [1..1000] |IsPrime(2*n-1) and IsPrime(2*n+3)]; // Vincenzo Librandi, May 19 2017

Mathematica

Select[Range[2000],PrimeQ[2*#-1]&&PrimeQ[2*#+3]&] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)

Formula

a(n) = (A087679(n)-1)/2 = (A023200(n)+1)/2 = (A046132(n)-3)/2.