OFFSET
1,1
COMMENTS
Primes followed by unusually long prime gaps.
The Cramér model suggests that there are about 2*sqrt(x/log^2 x) elements up to x. - Charles R Greathouse IV, Mar 18 2016
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
FORMULA
Primes p such that all integers in (p, p + 0.5 * log(p)^2) are composite.
MATHEMATICA
Select[Prime[Range[10^4]], NextPrime[#] - # > (Log[#]^2)/2 &] (* Alonso del Arte, Jun 02 2013 *)
PROG
(PARI) G=1; p=2; forprime(q=3, 1e7, if(q-p>=G && q-p>log(p)^2/2, G=ceil(log(p)^2/2); print1(p", ")); p=q)
CROSSREFS
KEYWORD
nonn
AUTHOR
Charles R Greathouse IV, Apr 26 2012
STATUS
approved