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Smallest prime >= decimal expansion of e truncated to n places (A011543).
0

%I #6 Aug 25 2016 20:51:09

%S 2,29,271,2719,27191,271829,2718281,27182839,271828199,2718281831,

%T 27182818309,271828182863,2718281828489,27182818284617,

%U 271828182845909,2718281828459051,27182818284590483,271828182845904533,2718281828459045269,27182818284590452387,271828182845904523609

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NextPrime.html">Next Prime</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/e.html">e</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/e-Prime.html">e-Prime</a>

%H <a href="/index/Con#constant_primes">Index entries related to "constant primes"</a>

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

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

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

%e Example

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

%e e = 2.71828182845904523536028747135266249775724...

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

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

%K nonn,base

%O 0,1

%A _Ilya Gutkovskiy_, Aug 24 2016