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Search: id:A040016
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A040016 Largest prime < e^n. +0
33
2, 7, 19, 53, 139, 401, 1093, 2971, 8101, 22013, 59863, 162751, 442399, 1202603, 3269011, 8886109, 24154939, 65659969, 178482289, 485165141, 1318815713, 3584912833, 9744803443, 26489122081, 72004899319, 195729609407 (list; graph; listen)
OFFSET

1,1

COMMENT

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

LINKS

Eric Weisstein's World of Mathematics, e-Prime.

EXAMPLE

a(20) = floor(e^20) - 54 = 485165195 - 54 = 485165141 as there are no primes p such that 485165141 < p < 485165195.

CROSSREFS

Cf. A000040, A000149, A007512, A014210, A050808, A050809, A059303, A064118, A095935, A115019, A074496, A118840.

Adjacent sequences: A040013 A040014 A040015 this_sequence A040017 A040018 A040019

Sequence in context: A018030 A051354 A073799 this_sequence A145519 A030224 A114624

KEYWORD

nonn

AUTHOR

Jud McCranie j.mccranie(AT)comcast.net

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 22 2006

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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