A061779 Primes p such that q-p = 22, where q is the next prime after p.

1129, 1951, 2311, 2557, 3229, 3469, 3739, 3967, 4027, 5449, 6427, 7129, 8017, 9349, 9439, 9697, 10039, 10111, 10369, 10567, 11329, 11527, 12049, 12301, 13729, 13807, 14221, 14347, 15031, 15937, 17137, 17209, 17761, 18097, 18979, 19819, 19867, 19891

Offset

1,1

Comments

Smaller of 2 consecutive primes with a difference of 22: primes p such that p+22 is the next prime.

Links

Remi Eismann, Table of n, a(n) for n = 1..10000

K. Soundararajan, Small gaps between prime numbers: the work of Goldston-Pintz-Yildirim, Bull. Amer. Math. Soc., 44 (2007), 1-18.

Index entries for primes, gaps between

Example

1129 is a term as the next prime is 1151.

Mathematica

Transpose[Select[Partition[Prime[Range[2300]], 2, 1], Last[#] - First[#] == 22 &]][[1]] (* Bruno Berselli, Apr 09 2013 *)
r = Prime@Range@2300; r[[Flatten@Position[Differences@r, 22]]] (* Hans Rudolf Widmer, Jan 21 2023 *)

Prog

(PARI) { n=0; p=2; forprime (q=3, 457043, if ((q - p)==22, write("b061779.txt", n++, " ", p)); p=q ) } \\ Harry J. Smith, Jul 27 2009
(Magma) [p: p in PrimesUpTo(20000) | NextPrime(p)-p eq 22]; // Bruno Berselli, Apr 09 2013

Crossrefs

Sequence in context: A082888 A122384 A218041 * A218159 A325087 A261404

Adjacent sequences: A061776 A061777 A061778 * A061780 A061781 A061782

Keyword

nonn

Author

Amarnath Murthy, May 23 2001

Extensions

Corrected and extended by Patrick De Geest, May 26 2001

Entry revised by N. J. A. Sloane, Jan 26 2007

Status

approved