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%I #4 Jul 24 2016 20:54:07
%S 4,5,7,13,17,19,37,37,31,41,19,59,109,71,179,73,59,73,113,53,47,127,
%T 149,263,107,241,59,103,317,241,317,113,197,127,109,647,397,67,281,67,
%U 211,163,109,107,439,521,709,101,383,337,397,223,337,601,281,311
%N p - n!, where p is the third smallest prime > n!.
%C Is every term except 4 a prime?
%H Clark Kimberling, <a href="/A275273/b275273.txt">Table of n, a(n) for n = 1..300</a>
%e For n = 4, we have n! = 24, so that p = 37, and a(4) = 13.
%t Table[NextPrime[n!, 3] - n!, {n, 1, 150}]
%Y Cf. A275272, A000040.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jul 23 2016
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