A051143 - OEIS

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

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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