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

Author

Parthasarathy Nambi, Jan 12 2006

Keywords

• nonn

Comments

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

Examples

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

Links

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

Crossrefs

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

Programs

Mathematica

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

Extensions

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

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