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

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..57.

Example

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.

Mathematica

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

Crossrefs

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

Sequence in context: A216578 A094317 A074834 * A197299 A089438 A155777

Adjacent sequences: A163995 A163996 A163997 * A163999 A164000 A164001

Keyword

nonn

Author

Omar E. Pol, Aug 09 2009

Extensions

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

Status

approved