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%I #39 Jan 02 2022 16:08:38
%S 13,23,43,53,71,83,107,257,269,313,1093,2659,2851,3527,8243,20173,
%T 20717,24329,26161,26237,31583,53611,60719,74717,83401,118259,118369,
%U 130817,133811,145109,152381,169111,178613,183397,205963
%N Primes p with A047967(p) also prime.
%C According to the conjecture in A236417, this sequence should have infinitely many terms.
%H Zhi-Wei Sun, <a href="/A236418/b236418.txt">Table of n, a(n) for n = 1..42</a>
%e a(1) = 13 with 13 and A047967(13) = 83 both prime.
%t pq[n_]:=PrimeQ[n]&&PrimeQ[PartitionsP[n]-PartitionsQ[n]]
%t n=0;Do[If[pq[m],n=n+1;Print[n," ",m]],{m,1,10000}]
%t Select[Prime[Range[20000]],PrimeQ[PartitionsP[#]-PartitionsQ[#]]&] (* _Harvey P. Dale_, Jan 02 2022 *)
%Y Cf. A000040, A047967, A234530, A234569, A234644, A235344, A235346, A236413, A236417, A236419, A236440.
%K nonn
%O 1,1
%A _Zhi-Wei Sun_, Jan 25 2014
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