A114166 Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.

1, 88, 105, 147, 165, 217, 1481, 2216, 2579, 2604, 3008, 3658, 3694, 4329, 4353, 4447, 4534, 5074, 5793, 6120, 6578, 6648, 7861, 7994, 8276, 8851, 9421, 10371, 12350, 12359, 12389, 13010, 13345, 13479, 14532, 14727, 16461, 19313, 19466, 20354

Offset

1,2

Links

Max Alekseyev, Table of n, a(n) for n = 1..1252

Mathematica

Select[ Range[20780], PrimeQ[PartitionsP[5# ]] &]

Prog

(PARI) is(n)=isprime(numbpart(5*n)) \\ Charles R Greathouse IV, Feb 17 2017

Crossrefs

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

Sequence in context: A068356 A215830 A216873 * A350324 A183186 A161194

Adjacent sequences: A114163 A114164 A114165 * A114167 A114168 A114169

Keyword

nonn

Author

Robert G. Wilson v, Nov 14 2005

Status

approved