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 A074496 a(n) = smallest prime > e^n. 7
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Where record values of floor(log(n/n’)) occur, where n’ is the arithmetic derivative of n. - Paolo P. Lava, Mar 20 2012 LINKS Amiram Eldar, Table of n, a(n) for n = 0..2302 FORMULA Lim_[n approaches 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 Cf. A000040, A000149, A014210, A014211, A074497. Sequence in context: A246496 A119641 A252005 * A292817 A292112 A065849 Adjacent sequences:  A074493 A074494 A074495 * A074497 A074498 A074499 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

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Last modified October 1 00:54 EDT 2020. Contains 337440 sequences. (Running on oeis4.)