A058697 P(p(n)), P = primes (A000040), p = partition numbers (A000041).

2, 2, 3, 5, 11, 17, 31, 47, 79, 113, 181, 263, 389, 547, 761, 1049, 1453, 1951, 2659, 3511, 4643, 6073, 7933, 10243, 13249, 16981, 21713, 27551, 34841, 43853, 55147, 68863, 85819, 106397, 131779, 162473, 199889, 245039, 300233, 365513

Offset: 0

Author

N. J. A. Sloane, Dec 31 2000

Keywords

• nonn

Comments

Prime number whose index is the n-th partition number. - Omar E. Pol, Aug 05 2011

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..100

Crossrefs

Cf. A058698.

Programs

Mathematica

Prime[PartitionsP[Range[0,40]]] (* Harvey P. Dale, Sep 21 2014 *)

PARI

a(n)={prime(numbpart(n))} \\ Andrew Howroyd, Dec 28 2017

Formula

a(n) = A000040(A000041(n)). - Omar E. Pol, Aug 05 2011