

A061779


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


8



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
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OFFSET

1,1


COMMENTS

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


REFERENCES

K. Soundararajan, Small gaps between prime numbers: the work of GoldstonPintzYildirim, Bull. Amer. Math. Soc., 44 (2007), 118.


LINKS

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


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 A261404 A023307
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



