A163998 Primes p having the same parity as the number of partitions of p.

2, 3, 5, 7, 13, 17, 23, 29, 37, 41, 43, 53, 61, 67, 71, 73, 83, 89, 107, 127, 139, 157, 173, 181, 193, 199, 211, 223, 229, 233, 239, 251, 257, 263, 269, 277, 281, 283, 293, 311, 313, 331, 349, 367, 373, 389, 401, 421, 433, 443, 457, 461, 463, 467, 479, 491, 499

Offset: 1

Author

Omar E. Pol, Aug 09 2009

Keywords

• nonn

Comments

Except the first term, primes with an odd number of partitions.

Primes in A194798. - Omar E. Pol, Mar 17 2012

Examples

			7 is in the sequence because the number of partitions of 7 is equal to 15 and both 7 and 15 have the same parity.
		

Crossrefs

Cf. A000040, A000041, A040051, A052002, A163997, A194798.

Programs

Mathematica

Select[Prime[Range[100]], Mod[PartitionsP[#] - #, 2] == 0 &] (* T. D. Noe, Jan 30 2012 *)

Extensions

More terms from D. S. McNeil, May 10 2010