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A236418
Primes p with A047967(p) also prime.
3
13, 23, 43, 53, 71, 83, 107, 257, 269, 313, 1093, 2659, 2851, 3527, 8243, 20173, 20717, 24329, 26161, 26237, 31583, 53611, 60719, 74717, 83401, 118259, 118369, 130817, 133811, 145109, 152381, 169111, 178613, 183397, 205963
OFFSET
1,1
COMMENTS
According to the conjecture in A236417, this sequence should have infinitely many terms.
LINKS
EXAMPLE
a(1) = 13 with 13 and A047967(13) = 83 both prime.
MATHEMATICA
pq[n_]:=PrimeQ[n]&&PrimeQ[PartitionsP[n]-PartitionsQ[n]]
n=0; Do[If[pq[m], n=n+1; Print[n, " ", m]], {m, 1, 10000}]
Select[Prime[Range[20000]], PrimeQ[PartitionsP[#]-PartitionsQ[#]]&] (* Harvey P. Dale, Jan 02 2022 *)
KEYWORD
nonn
AUTHOR
Zhi-Wei Sun, Jan 25 2014
STATUS
approved