A114169 Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n.

4, 24, 144, 277, 278, 303, 319, 352, 518, 2279, 2405, 2578, 3400, 3787, 4273, 4457, 7603, 9145, 9858, 10774, 10988, 11545, 12954, 14120, 14674, 17537, 18193, 18602, 18919, 21955, 29775, 30559, 31504, 34160, 35618, 35655

Offset

1,1

Links

Max Alekseyev, Table of n, a(n) for n = 1..555

Mathematica

Select[ Range[22222], PrimeQ[PartitionsP[9# ]] &]

Prog

(PARI) is(n)=isprime(numbpart(9*n)) \\ Charles R Greathouse IV, Feb 17 2017

Crossrefs

Cf. A000041, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170.

Sequence in context: A005319 A155119 A370234 * A121102 A307526 A067411

Adjacent sequences: A114166 A114167 A114168 * A114170 A114171 A114172

Keyword

nonn

Author

Robert G. Wilson v, Nov 14 2005

Status

approved