Search: id:A040016
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%I A040016
%S A040016 2,7,19,53,139,401,1093,2971,8101,22013,59863,162751,442399,1202603,
%T A040016 3269011,8886109,24154939,65659969,178482289,485165141,1318815713,
%U A040016 3584912833,9744803443,26489122081,72004899319,195729609407
%N A040016 Largest prime < e^n.
%C A040016 A subset of this is A050809 = primes of the form floor(e^n). Obverse 
               of A117811 = first prime after e^n. Lim_[n approaches infinity] a(n+1)/
               a(n) = e. - Jonathan Vos Post (jvospost3(AT)gmail.com), May 02 2006
%H A040016 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               e-Prime.html">e-Prime.</a>
%e A040016 a(20) = floor(e^20) - 54 = 485165195 - 54 = 485165141 as there are no 
               primes p such that 485165141 < p < 485165195.
%Y A040016 Cf. A000040, A000149, A007512, A014210, A050808, A050809, A059303, A064118, 
               A095935, A115019, A074496, A118840.
%Y A040016 Sequence in context: A018030 A051354 A073799 this_sequence A145519 A030224 
               A114624
%Y A040016 Adjacent sequences: A040013 A040014 A040015 this_sequence A040017 A040018 
               A040019
%K A040016 nonn
%O A040016 1,1
%A A040016 Jud McCranie j.mccranie(AT)comcast.net
%E A040016 Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 22 2006

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