

A234900


Primes p with P(p+1) also prime, where P(.) is the partition function (A000041).


1



2, 3, 5, 131, 167, 211, 439, 2731, 3167, 3541, 4261, 7457, 8447, 18289, 22669, 23201, 23557, 35401, 44507, 76781, 88721, 108131, 126097, 127079, 136319, 141359, 144139, 159169, 164089, 177487, 202627, 261757, 271181, 282911, 291971, 307067, 320561, 389219, 481589, 482627, 602867, 624259, 662107, 682361, 818887, 907657, 914189, 964267, 1040191, 1061689
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OFFSET

1,1


COMMENTS

It seems that this sequence contains infinitely many terms.
See also A234569 for a similar sequence.


LINKS



EXAMPLE

a(1) = 2 since P(2+1) = 3 is prime.
a(2) = 3 since P(3+1) = 5 is prime.
a(3) = 5 since P(5+1) = 11 is prime.


MATHEMATICA

p[k_]:=p[k]=PrimeQ[PartitionsP[Prime[k]+1]]
n=0; Do[If[p[k], n=n+1; Print[n, " ", Prime[k]]], {k, 1, 10000}]


CROSSREFS

Cf. A000040, A000041, A049575, A233346, A234470, A234514, A234530, A234567, A234569, A234615, A234644.


KEYWORD

nonn


AUTHOR



STATUS

approved



