login
Prime gaps between the first occurrence of successive primes of the form (2^n)! + m.
0

%I #7 Sep 10 2016 15:30:11

%S 0,0,1,7,17,3,83,83,273,1247,9409,2765,217,15701

%N Prime gaps between the first occurrence of successive primes of the form (2^n)! + m.

%F A prime gap is defined here as the difference between successive primes - 1.

%F a(n) = A138346(n)-A136146(n)-1. - _R. J. Mathar_, Sep 10 2016

%e The first prime after (2^12)! = 4096! = 4096! + 26297. The next prime after that is 4096! + 41999. So the prime gap between this first occurrence of two successive primes is 41999-26296-1 = 15701, the last entry in the sequence.

%o PFGW was used to find the successive primes.

%Y Cf. A136146.

%K nonn

%O 0,4

%A _Cino Hilliard_, May 18 2008