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%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