%I #23 Aug 12 2023 05:15:04
%S 2,5,7,13,19,23,31,37,43,53,59,67,73,79,89,97,103,109,113,131,137,149,
%T 157,163,173,181,191,197,199,223,229,233,241,257,263,271,277,283,307,
%U 311,317,331,347,353,359,373,383,389,401,409,421,433,439,449,457,463
%N a(n) = prime(A000201(n)).
%F a(n) ~ phi*n*log n, where phi = (1+sqrt(5))/2. - _Charles R Greathouse IV_, Apr 19 2015
%o (PARI) a(n) = prime(n*(1+sqrt(5))\2); \\ _Michel Marcus_, Aug 28 2013
%o (Python)
%o from math import isqrt
%o from sympy import prime
%o def A109652(n): return prime(n+isqrt(5*n**2)>>1) # _Chai Wah Wu_, Aug 10 2022
%Y Cf. A003849, A000201, A000040.
%K nonn,less
%O 1,1
%A _E.J.P. Vening_, Aug 05 2005
%E Better description from Joseph Biberstine and _Graeme McRae_, Aug 05 2006