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

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..4200

Eric Weisstein's World of Mathematics, Cousin Primes

Formula

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

Mathematica

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

Prog

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

Crossrefs

Essentially the same as A111981.

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

Sequence in context: A281168 A274352 A343328 * A217385 A138827 A353055

Adjacent sequences: A088759 A088760 A088761 * A088763 A088764 A088765

Keyword

nonn

Author

Ray Chandler, Oct 26 2003

Status

approved