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%I #35 Dec 27 2024 13:30:19
%S 2,2,3,13,89,659,5443,49033,484037,5222429,61194647,774825383,
%T 10552185239,153903050137,2394322471421,39588599419319,
%U 693389445083107,12826386978604427,249902442548157673,5115640857307591139,109776797549312197217,2464348772728229970857
%N Primes at large indices: a(n) = prime(n!).
%H Andrew Booker, <a href="https://t5k.org/nthprime/index.php#n-th">Nth Prime Page</a>.
%F a(n) = A000040(A000142(n)).
%p seq(ithprime(factorial(n)),n=0..10); # _Muniru A Asiru_, Dec 07 2018
%t Array[Prime[#!] &, 16, 0] (* _Michael De Vlieger_, Dec 06 2018 *)
%o (PARI) a(n) = prime(n!)
%o (Magma) [(NthPrime(Factorial(n))): n in [0..11]]; // _Vincenzo Librandi_, Dec 07 2018
%o (Python)
%o from sympy import prime, factorial
%o for n in range(0,14): print(prime(factorial(n))) # _Stefano Spezia_, Dec 07 2018
%Y Cf. A000040, A000142, A033844.
%K hard,nonn
%O 0,1
%A _Labos Elemer_, Jul 09 2001
%E a(15)-a(19) from _Jens Kruse Andersen_, May 08 2010
%E a(20)-a(21) from _Henri Lifchitz_, Sep 09 2014