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

0,1

Links

Table of n, a(n) for n=0..16.

Formula

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A000040, A002110.

Sequence in context: A098406 A280012 A224792 * A153888 A068083 A137459

Adjacent sequences: A062444 A062445 A062446 * A062448 A062449 A062450

Keyword

nonn,hard,more

Author

Labos Elemer, Jul 09 2001

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

Status

approved