%I #13 Feb 17 2015 10:22:48
%S 3,17,599,35279,322559,439084799,293999475161295508340735999999
%N Primes of form n! - (n-1)! - 1.
%C The next term has 116 digits. - _Harvey P. Dale_, Feb 17 2015
%t f[n_]:=n!-n; lst={};Do[If[PrimeQ[f[n+1]-f[n]],AppendTo[lst,f[n+1]-f[n]]],{n,0,5!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jun 27 2009 *)
%t Select[#[[2]]-#[[1]]-1&/@Partition[Range[100]!,2,1],PrimeQ] (* _Harvey P. Dale_, Feb 17 2015 *)
%Y For more terms see A049433.
%K nonn
%O 1,1
%A _N. J. A. Sloane_