A007512 -id:A007512 - cp's OEIS frontend

A276196 Smallest prime >= decimal expansion of e truncated to n places (A011543).

2, 29, 271, 2719, 27191, 271829, 2718281, 27182839, 271828199, 2718281831, 27182818309, 271828182863, 2718281828489, 27182818284617, 271828182845909, 2718281828459051, 27182818284590483, 271828182845904533, 2718281828459045269, 27182818284590452387, 271828182845904523609

Offset: 0

Ilya Gutkovskiy, Aug 24 2016

			a(5) = 271829, since this is the smallest prime >= floor(e*10^5) = 271828.
e = 2.71828182845904523536028747135266249775724...

Eric Weisstein's World of Mathematics, Next Prime
Eric Weisstein's World of Mathematics, e
Eric Weisstein's World of Mathematics, e-Prime
Index entries related to "constant primes"

Cf. A000040, A000720, A001113, A007512, A007918, A011543, A064118.

Table[NextPrime[Floor[E 10^n] - 1], {n, 0, 20}]

a(n) = A007918(A011543(n)).
a(n) = A000040(A000720(A011543(n)-1)+1).
a(A064118(n)-1) = A007512(n).

A283158 Numbers k such that A011544(k-1) is a prime.

Original entry on oeis.org

1, 85, 555, 1508, 1781, 4224, 7037, 43740

Offset: 1

XU Pingya, Mar 01 2017

For k <= 16000, there are seven primes in sequence A011544.

Round(e*10^112279) = floor(e*10^112279), and floor(e*10^112279) = A011544(112279) (=A007512(7)) is a prime. Thus 112280 = A064118(7) is also a term.

Eric Weisstein's World of Mathematics, e-Prime

Cf. A007512, A011543, A011544, A064118.

Do[If[PrimeQ[Round[E*10^(n-1)]],Print[n]],{n,16000}]

a(2) = 85 added by Jason Yuen, Jun 16 2025

a(8) from Michael S. Branicky, Jun 24 2025

cp's OEIS Frontend

A276196 Smallest prime >= decimal expansion of e truncated to n places (A011543).

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