A062447 a(n) = prime(q(n)), where q(n) = A002110(n).

2, 3, 13, 113, 1291, 20443, 350741, 7535917, 173723909, 4735396021, 160158887507, 5681909839321, 237981875869277, 10922592672383377, 520256404164231967, 26879210482658444513, 1556951523272630146229

Offset: 0

Author

Labos Elemer, Jul 09 2001

Keywords

• nonn
• hard
• more

Examples

			q(11) = 2*3*5*7*11*13*17*19*23*29*31 = 200560490130 and the 200560490130th prime is 5681909839321.
		

Crossrefs

Cf. A000040, A002110.

Programs

Mathematica

Prime[FoldList[Times, 1, Prime@ Range[10]]] (* Michael De Vlieger, Aug 10 2023 *)

PARI

a(n) = prime(vecprod(primes(n))); \\ Michel Marcus, Aug 11 2023

Formula

a(n) = A000040(A002110(n)).

Extensions

a(11)=q(12)=p(37#) through a(15)=q(16)=p(53#) from Henri Lifchitz, Nov 11 2014

Missing a(0)=2 inserted by Alois P. Heinz, Apr 01 2021