login
Primes of the form k^k-k!+2.
1

%I #6 Apr 26 2022 13:42:04

%S 2,23,387057611,

%T 7596040312163297274222442578036920783684137730466972969164241364503367485389656454146145546668114950475963285686810192201741431

%N Primes of the form k^k-k!+2.

%C The values of A036679(k)+2 at indices k=1, 3, 9, 69, ... - _R. J. Mathar_, Jul 16 2009

%C No further terms up to k=1000. - _Harvey P. Dale_, Apr 26 2022

%t f[n_]:=n^n-n!+2; lst={};Do[p=f[n];If[PrimeQ[p],AppendTo[lst,p]],{n,4*5!}]; lst

%t Select[Table[k^k-k!+2,{k,100}],PrimeQ] (* _Harvey P. Dale_, Apr 26 2022 *)

%Y Cf. A162603, A162604

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jul 07 2009