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A040016 Largest prime < e^n. 32
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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, May 02 2006

LINKS

Table of n, a(n) for n=1..26.

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.

MATHEMATICA

Table[NextPrime[E^n, -1], {n, 30}] (* Harvey P. Dale, Jul 24 2016 *)

PROG

(PARI) a(n)=precprime(exp(n)) \\ Charles R Greathouse IV, Mar 26 2013

CROSSREFS

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

Sequence in context: A018030 A051354 A073799 * A145519 A030224 A114624

Adjacent sequences:  A040013 A040014 A040015 * A040017 A040018 A040019

KEYWORD

nonn

AUTHOR

Jud McCranie

EXTENSIONS

Edited by N. J. A. Sloane, Dec 22 2006

STATUS

approved

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Last modified April 26 11:40 EDT 2017. Contains 285444 sequences.