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

Author

Ilya Gutkovskiy, Aug 24 2016

Keywords

• nonn
• base

Examples

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

Links

• 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"

Crossrefs

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

Programs

Mathematica

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

Formula

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

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

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