A098974 Primes p such that q-p = 24, where q is the next prime after p.

1669, 2179, 4177, 4523, 4759, 5237, 6173, 6397, 6737, 7079, 7369, 7793, 8123, 8329, 9067, 11003, 11633, 11839, 12073, 12119, 13009, 13267, 16033, 16193, 16453, 16763, 16787, 17053, 17683, 17989, 18593, 18637, 19183, 19507, 20483, 22409, 22877, 23227

Offset

1,1

Comments

Lower prime of a difference of 24 between consecutive primes.

23 successive numbers after prime number p are composite. - Artur Jasinski, Jan 15 2007

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

Mathematica

a = {}; Do[If[Prime[x + 1] - Prime[x] == 24, AppendTo[a, Prime[x]]], {x, 1, 10000}]; a (* Artur Jasinski, Jan 15 2007 *)

Crossrefs

Cf. A000040, A001223, A054541, A075526, A001359, A054799, A063091, A096292, A015913, A023200, A029710, A031934, A031936, A031938.

Cf. A000230, A023200, A031924, A031926, A031928, A031930, A031932, A061779, A124594 (gap 26), A052190 (2 consecutive gaps 24).

Sequence in context: A054812 A020392 A216590 * A109564 A188008 A145755

Adjacent sequences: A098971 A098972 A098973 * A098975 A098976 A098977

Keyword

nonn,easy

Author

Douglas Winston (douglas.winston(AT)srupc.com), Oct 23 2004

Extensions

Entry revised by N. J. A. Sloane, Feb 13 2007

Status

approved