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

0,1

Links

Table of n, a(n) for n=0..20.

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"

Formula

a(n) = A007918(A011543(n)).

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

a(A064118(n)-1) = A007512(n).

Example

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

Mathematica

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

Crossrefs

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

Sequence in context: A342962 A342971 A124301 * A077023 A352065 A101750

Adjacent sequences: A276193 A276194 A276195 * A276197 A276198 A276199

Keyword

nonn,base

Author

Ilya Gutkovskiy, Aug 24 2016

Status

approved