A051143 Numbers k such that the k-th prime is a partition number.

1, 2, 3, 4, 5, 26, 2061, 702993, 307058572, 3350187739, 9088200428, 43794115173, 51932790219, 378210209388, 521301342188, 297064987225918, 19677201507658441, 437852535314831447, 1673669998972800207, 29252504332047744188, 42842701894337201916

Offset

1,2

Links

Table of n, a(n) for n=1..21.

Kim Walisch, Fast C++ prime counting function implementation (primecount).

Formula

a(n) = A000720(A049575(n)).

Mathematica

PrimePi@Select[PartitionsP@Range@301, PrimeQ@# &] (* Robert G. Wilson v, Nov 14 2005 *)

Crossrefs

Cf. A000040, A000041, A046063, A049575.

Sequence in context: A237342 A075807 A124232 * A084853 A115337 A114333

Adjacent sequences: A051140 A051141 A051142 * A051144 A051145 A051146

Keyword

nonn,nice

Author

G. L. Honaker, Jr.

Extensions

a(16)-a(21) using Kim Walisch's primecount, from Amiram Eldar, Jul 26 2019

Status

approved