A163997 Primes with an even number of partitions.

2, 11, 19, 31, 47, 59, 79, 97, 101, 103, 109, 113, 131, 137, 149, 151, 163, 167, 179, 191, 197, 227, 241, 271, 307, 317, 337, 347, 353, 359, 379, 383, 397, 409, 419, 431, 439, 449, 487, 503, 509, 521, 523, 541, 557, 563, 569, 571, 577, 599, 607, 631, 641, 643

Offset: 1

Author

Omar E. Pol, Aug 09 2009

Keywords

• nonn

Examples

			11 is in the sequence because the number of partitions of 11 is equal to 56 and 56 is an even number.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A000041, A001560, A163096, A163998.

Programs

Mathematica

Select[Prime[Range[200]],EvenQ[PartitionsP[#]]&] (* Harvey P. Dale, Jul 01 2019 *)

Extensions

More terms from Sean A. Irvine, Oct 18 2009