A211075 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Primes followed by unusually long prime gaps.

LINKS

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

MATHEMATICA

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

PROG

(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)

CROSSREFS