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Floor of exp(n-th prime).
3

%I #16 Jul 20 2021 17:16:16

%S 7,20,148,1096,59874,442413,24154952,178482300,9744803446,

%T 3931334297144,29048849665247,11719142372802611,639843493530054949,

%U 4727839468229346561,258131288619006739623,104137594330290877971834,42012104037905142549565934,310429793570191990870734214

%N Floor of exp(n-th prime).

%D Kumanduri and Romero, "Number Theory", Upper Saddle River, NJ, 1998.

%H T. D. Noe, <a href="/A051102/b051102.txt">Table of n, a(n) for n=1..100</a>

%F a(n) = A000149(A000040(n)). - _Alois P. Heinz_, Apr 09 2020

%e e = 2.718281828..., e^5 = 148.4131591..., floor( e^5 ) = 148.

%t Floor[Exp[#]]&/@Prime[Range[20]] (* _Harvey P. Dale_, Dec 12 2012 *)

%o (Python)

%o from sympy import floor, E, prime

%o def a(n): return floor(E**prime(n))

%o print([a(n) for n in range(1, 19)]) # _Michael S. Branicky_, Jul 20 2021

%Y Cf. A000040, A000149, A001113.

%K nonn

%O 1,1

%A Joel Patrick Hollins (s1161557(AT)cedarville.edu)