A062439 Primes at large indices: a(n) = prime(n!).

2, 2, 3, 13, 89, 659, 5443, 49033, 484037, 5222429, 61194647, 774825383, 10552185239, 153903050137, 2394322471421, 39588599419319, 693389445083107, 12826386978604427, 249902442548157673, 5115640857307591139, 109776797549312197217, 2464348772728229970857

Offset: 0

Author

Labos Elemer, Jul 09 2001

Keywords

• hard
• nonn

Links

• Andrew Booker, Nth Prime Page.

Crossrefs

Cf. A000040, A000142, A033844.

Programs

Magma

[(NthPrime(Factorial(n))): n in [0..11]]; // Vincenzo Librandi, Dec 07 2018

Maple

seq(ithprime(factorial(n)),n=0..10); # Muniru A Asiru, Dec 07 2018

Mathematica

Array[Prime[#!] &, 16, 0] (* Michael De Vlieger, Dec 06 2018 *)

PARI

a(n) = prime(n!)

Python

from sympy import prime, factorial
for n in range(0,14): print(prime(factorial(n))) # Stefano Spezia, Dec 07 2018

Formula

a(n) = A000040(A000142(n)).

Extensions

a(15)-a(19) from Jens Kruse Andersen, May 08 2010

a(20)-a(21) from Henri Lifchitz, Sep 09 2014