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Smallest prime > n!! (double factorial of n).
1

%I #4 May 19 2023 15:24:25

%S 2,3,5,11,17,53,107,389,947,3847,10399,46091,135151,645131,2027033,

%T 10321937,34459429,185794579,654729139,3715891217,13749310577,

%U 81749606417,316234143227,1961990553613,7905853580633,51011754393671

%N Smallest prime > n!! (double factorial of n).

%t PrimeNext[n_]:=Module[{k},k=n+1;While[ !PrimeQ[k],k++ ];k]; Table[PrimeNext[n!! ],{n,40}]

%Y Cf. A006990, A037151.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, May 30 2010