A113518 Numbers n such that P(13*n) is prime, where P(n) is the unrestricted partition number.

1, 42, 122, 224, 1665, 1861, 2504, 2530, 4750, 4765, 7831, 9589, 9932, 12141, 15574, 15749, 22629, 23492, 24350, 25819, 29837, 29940, 31106, 43589, 44496, 47526, 47751, 48020, 49216, 49304, 49637, 58051, 62381, 64112, 66710, 67047, 69244, 73954, 76985, 77664, 82824, 91694, 92749, 99625

Offset

1,2

Comments

Integer n belongs to this sequence if and only if 13*n belongs to A046063.

Links

Max Alekseyev, Table of n, a(n) for n = 1..379

Example

If n=224 then P(13*n) is a prime with 56 digits.

Mathematica

Select[ Range@27272, PrimeQ@ PartitionsP[13# ] &] (* Robert G. Wilson v, Jan 17 2006; corrected by Harvey P. Dale, Aug 06 2019 *)

Crossrefs

Cf. A000041, A049575, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170, A113499, A115214.

Sequence in context: A128674 A239590 A064498 * A044293 A044674 A261995

Adjacent sequences: A113515 A113516 A113517 * A113519 A113520 A113521

Keyword

nonn

Author

Parthasarathy Nambi, Jan 12 2006

Extensions

a(5)-a(20) from Robert G. Wilson v, Jan 17 2006

Terms a(21) onward from Max Alekseyev, Dec 18 2011

Status

approved