A163998 - OEIS

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

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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 *)