A114165 - OEIS

A114165

Numbers n such that p(2n) is prime, where p(n) is the number of partitions of n.

1, 2, 3, 18, 66, 84, 93, 94, 106, 108, 151, 183, 220, 249, 273, 329, 543, 648, 789, 793, 1068, 1251, 1254, 1284, 1366, 1456, 1549, 1584, 1671, 1771, 2059, 2131, 2228, 2331, 2501, 3399, 3729, 4224, 4456, 4646, 4999, 5093, 5540, 6014, 6510, 6736, 7520, 8124

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

OFFSET

1,2

COMMENTS

2n-th partition number (A000041(2n)) is prime.

LINKS

Max Alekseyev, Table of n, a(n) for n = 1..2451

MATHEMATICA

Select[ Range[9137], PrimeQ[ PartitionsP[2# ]] &]

PROG

(PARI) is(n)=isprime(numbpart(2*n)) \\ Charles R Greathouse IV, Feb 17 2017

CROSSREFS