A211075 Primes p followed by prime gap of length log(p/log(p)^2)^2.

3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 103, 109, 113, 127, 131, 139, 151, 157, 163, 167, 173, 181, 193, 199, 211, 233, 241, 251, 257, 263, 271, 283, 293, 317, 331, 337, 353, 359, 367, 373, 383, 389, 401, 409

Offset: 1

Author

Charles R Greathouse IV, May 06 2012

Keywords

• nonn

Comments

Primes followed by unusually long prime gaps.

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..4139

Crossrefs

Cf. A211073, A002386, A082885, A111943, A182315.

Programs

Mathematica

Select[Prime[Range[200]], NextPrime[#] - # > Log[#/Log[#]^2]^2 &] (* Alonso del Arte, Jun 02 2013 *)

PARI

G=1;p=3;forprime(q=5,1e7,if(q-p>=G,G=log(p/log(p)^2)^2; if(q-p>=G, print1(p", ")));p=q)