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

Author

G. L. Honaker, Jr.

Keywords

• nonn
• nice

Links

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

Crossrefs

Cf. A000040, A000041, A000720, A046063, A049575.

Programs

Mathematica

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

Formula

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

Extensions

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