A074496 a(n) = smallest prime > e^n.
2, 3, 11, 23, 59, 149, 409, 1097, 2999, 8111, 22027, 59879, 162779, 442439, 1202609, 3269029, 8886113, 24154957, 65660003, 178482319, 485165237, 1318815761, 3584912873, 9744803489, 26489122147, 72004899361, 195729609461, 532048240609, 1446257064299, 3931334297161
Offset: 0
Keywords
Examples
The first prime > e^3 = 20.085... is 23, so a(3) = 23.
Links
- Amiram Eldar, Table of n, a(n) for n = 0..2302
Programs
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Mathematica
a[n_] := NextPrime[Exp[n]]; a /@ Range[0, 20] (* Giovanni Resta, Apr 03 2017 *)
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PARI
for(n=1,50,print1(nextprime(exp(n))","))
Formula
Limmit_{n -> infinity} a(n+1)/a(n) = e. - Jonathan Vos Post, Apr 30 2006
Extensions
More terms from Ralf Stephan, Mar 25 2003
Edited by N. J. A. Sloane, Dec 22 2006
a(18) inserted and more terms added by Amiram Eldar, Sep 30 2019