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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

According to the conjecture in A236417, this sequence should have infinitely many terms.

LINKS

Zhi-Wei Sun, Table of n, a(n) for n = 1..42

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}]

CROSSREFS

Cf. A000040, A047967, A234530, A234569, A234644, A235344, A235346, A236413, A236417, A236419, A236440.

Sequence in context: A213655 A119488 A165350 * A112394 A067227 A240113

Adjacent sequences:  A236415 A236416 A236417 * A236419 A236420 A236421

KEYWORD

nonn

AUTHOR

Zhi-Wei Sun, Jan 25 2014

STATUS

approved

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Last modified August 22 05:00 EDT 2019. Contains 326172 sequences. (Running on oeis4.)