A111045 - OEIS

A111045

Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m.

1, 9, 33, 42, 47, 53, 54, 110, 324, 534, 627, 642, 683, 728, 792, 1114, 2112, 2228, 2323, 2770, 3007, 3255, 3368, 3760, 4062, 4569, 6139, 7650, 7939, 8138, 8310, 8493, 8674, 9122, 9407, 10345, 11127, 13343, 14713, 15442, 15632, 16358, 16904, 18165, 19303

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

OFFSET

1,2

LINKS

Max Alekseyev, Table of n, a(n) for n = 1..1271

EXAMPLE

If n=110 then P(4*n) = 74878248419470886233 (prime).

MATHEMATICA

Select[ Range[19923], PrimeQ[ PartitionsP[4# ]] &] (* Robert G. Wilson v *)

PROG

(PARI) is(n)=isprime(numbpart(4*n)) \\ Charles R Greathouse IV, Feb 17 2017

CROSSREFS