A035705 Numbers k such that the numbers of partitions and partitions-into-distinct-parts of k have a prime GCD.

7, 8, 9, 10, 19, 25, 26, 27, 28, 31, 32, 33, 34, 35, 42, 45, 48, 50, 55, 57, 60, 62, 64, 65, 68, 69, 74, 75, 78, 79, 84, 85, 86, 101, 103, 105, 108, 110, 111, 112, 113, 119, 125, 126, 127, 129, 140, 147, 148, 149, 151, 153, 154, 158, 160, 167, 170, 173, 175, 179

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

Select[Range[200], PrimeQ[GCD[PartitionsP[#], PartitionsQ[#]]]&] (* Harvey P. Dale, Jul 05 2019 *)

Crossrefs

Cf. A000009, A000041, A035703, A035704.

Sequence in context: A343297 A106108 A120309 * A205698 A210147 A340741

Adjacent sequences: A035702 A035703 A035704 * A035706 A035707 A035708

Keyword

nonn

Author

Olivier Gérard

Status

approved