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Primes of form n! - (n-1)! - 1.
1

%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_