

A234366


Primes of the form q(p) + 1, where p is a prime and q(.) is the strict partition function (A000009).


3



2, 3, 13, 19, 257, 761, 2591, 32993, 70489, 173683, 570079, 3725411, 5010689, 132535703, 150473569, 406072423, 3328423937, 26114971541, 519999315041, 4743946406977, 704890732521793, 445433800804233383, 712827068077888961
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OFFSET

1,1


COMMENTS

Though the primes in this sequence are very rare, by the conjecture in A234514 there should be infinitely many such primes.


LINKS



FORMULA



EXAMPLE

a(1) = 2 since 2 = q(2) + 1 with 2 prime.
a(2) = 3 since 3 = q(3) + 1 with 3 prime.
a(3) = 13 since 13 = q(11) + 1 with 11 and 13 both prime.


MATHEMATICA

Table[PartitionsQ[p[n]]+1, {n, 1, 35}]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



