A040016 - OEIS

A040016

Largest prime < e^n.

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, 532048240573, 1446257064289, 3931334297131

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OFFSET

1,1

COMMENTS

A050809 is a subset. Lim_{n --> infinity} a(n+1)/a(n) = e. - Jonathan Vos Post, May 02 2006

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..1000

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 *)