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A074496
a(n) = smallest prime > e^n.
8
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
0,1
LINKS
FORMULA
Limmit_{n -> infinity} a(n+1)/a(n) = e. - Jonathan Vos Post, Apr 30 2006
EXAMPLE
The first prime > e^3 = 20.085... is 23, so a(3) = 23.
MATHEMATICA
a[n_] := NextPrime[Exp[n]]; a /@ Range[0, 20] (* Giovanni Resta, Apr 03 2017 *)
PROG
(PARI) for(n=1, 50, print1(nextprime(exp(n))", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Joseph L. Pe, Sep 26 2002
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
STATUS
approved