%I #4 Jul 24 2016 20:55:04
%S 4,5,3,5,11,11,17,37,17,17,17,13,61,17,59,71,61,43,113,71,41,101,191,
%T 103,191,179,71,127,37,79,113,163,47,373,293,157,149,79,167,211,151,
%U 89,131,113,73,107,179,227,173,113,257,239,151,227,163,509,293,347
%N n! - p, where p is the second greatest prime < n!.
%C Is every term except 4 a prime?
%H Clark Kimberling, <a href="/A275275/b275275.txt">Table of n, a(n) for n = 1..300</a>
%e For n = 4, we have n! = 24, so that p = 19, and a(4) = 5.
%t Table[n! - NextPrime[n!, -2], {n, 1, 150}]
%Y Cf. A275272, A000040.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jul 23 2016
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