A111036 Numbers n such that p(6n) is prime, where p(n) is the number of partitions of n.

1, 6, 22, 28, 31, 36, 61, 83, 91, 181, 216, 263, 356, 417, 418, 428, 528, 557, 777, 1133, 1243, 1408, 2170, 2708, 3046, 3867, 5100, 5540, 5662, 7418, 9397, 12110, 12797, 14787, 16161, 16482, 18022, 19431, 19667, 21180, 22011, 22720, 23560, 27903

Offset: 1

Author

Parthasarathy Nambi, Nov 11 2005

Keywords

• nonn

Examples

			If n=91 then p(6n) = 27833079238879849385687 (prime).
		

Links

• Max Alekseyev, Table of n, a(n) for n = 1..782

Crossrefs

Cf. A000041, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170.

Programs

Mathematica

Select[ Range[33333], PrimeQ[ PartitionsP[6# ]] &] (* Robert G. Wilson v *)

PARI

is(n)=isprime(numbpart(6*n)) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(10)-a(45) from Robert G. Wilson v, Nov 14 2005