%I #19 Sep 30 2023 21:41:51
%S 2,3,37,257,1021,1601,67757,193873,331889,332099,843181,1278029,
%T 1437133,1613153,2160797,2423873,3076313,3506039,4108889,4430753,
%U 4656089
%N Primes p such that the partition number of the p-th prime is also a prime.
%F { p in {A000040} : A000041(A000040(p)) in {A000040} }.
%e 37 is in the sequence because the 37th prime is 157, the partition number of 157 is 80630964769 and 80630964769 is a prime.
%t Flatten[Table[If[PrimeQ[PartitionsP[Prime[Prime[n]]]], Prime[n], {}], {n, 1, 2000}]]
%t Select[Prime[Range[260]],PrimeQ[PartitionsP[Prime[#]]]&] (* _Harvey P. Dale_, Nov 01 2011 *)
%Y Cf. A038601.
%K nonn,more
%O 1,1
%A _Roger L. Bagula_, Oct 09 2008
%E Edited by _Alois P. Heinz_, Oct 26 2011
%E a(7)-a(21) from _Michael S. Branicky_, Sep 30 2023