A113499 Numbers n such that P(11*n) is prime where P(n) is the partition number.

7, 12, 40, 75, 163, 228, 261, 288, 322, 331, 618, 678, 768, 926, 2990, 3821, 4852, 5726, 10802, 11710, 12006, 12635, 14470, 18097, 22156, 25776, 29142, 32692, 36965, 48830, 51821, 56433, 58008, 63757, 64433, 67545, 68391, 69850, 73723, 77498, 77770

Offset: 1

Author

Parthasarathy Nambi, Jan 10 2006

Keywords

• nonn

Comments

n belongs to this sequence if and only if 11*n belongs to A046063.

Examples

			If n=163 then P(11*n) = 11820527237297139926370474832027317722017807 (prime).
		

Links

• Max Alekseyev, Table of n, a(n) for n = 1..467

Crossrefs

Cf. A111036, A111045, A111389.

Programs

Mathematica

For[n = 1, n < 1000, n++, If[PrimeQ[PartitionsP[11*n]], If[ProvablePrimeQ[PartitionsP[11*n]], Print[n]]]] (* Stefan Steinerberger *)
Do[ If[ PrimeQ@ PartitionsP[11n], Print@n], {n, 3000}] (* Robert G. Wilson v *)

Extensions

More terms from Stefan Steinerberger and Robert G. Wilson v, Jan 12 2006

Terms a(28) onward from Max Alekseyev, Dec 18 2011