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A163998
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Primes p having the same parity as the number of partitions of p.
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3
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Except the first term, primes with an odd number of partitions.
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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.
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MATHEMATICA
| Select[Prime[Range[100]], Mod[PartitionsP[#] - #, 2] == 0 &] (* T. D. Noe, Jan 30 2012 *)
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CROSSREFS
| Cf. A000040, A000041, A040051, A052002, A163997.
Sequence in context: A137812 A094317 A074834 * A197299 A089438 A155777
Adjacent sequences: A163995 A163996 A163997 * A163999 A164000 A164001
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KEYWORD
| nonn
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Aug 09 2009
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EXTENSIONS
| More terms from D. S. McNeil (mcneil(AT)hku.hk), May 10 2010
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