The On-Line Encyclopedia of Integer Sequences (OEIS)

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A276196

Smallest prime >= decimal expansion of e truncated to n places (A011543).
(history; published version)

#6 by N. J. A. Sloane at Thu Aug 25 20:51:09 EDT 2016

STATUS

reviewed

approved

#5 by G. C. Greubel at Thu Aug 25 17:43:05 EDT 2016

STATUS

proposed

reviewed

#4 by Ilya Gutkovskiy at Wed Aug 24 13:23:05 EDT 2016

STATUS

editing

proposed

#3 by Ilya Gutkovskiy at Wed Aug 24 12:22:23 EDT 2016

FORMULA

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

#2 by Ilya Gutkovskiy at Wed Aug 24 12:17:39 EDT 2016

NAME

allocated for Ilya GutkovskiySmallest prime >= decimal expansion of e truncated to n places (A011543).

DATA

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

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

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

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

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

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.

KEYWORD

allocated

nonn,base

AUTHOR

Ilya Gutkovskiy, Aug 24 2016

STATUS

approved

editing

#1 by Ilya Gutkovskiy at Wed Aug 24 12:17:39 EDT 2016

NAME

allocated for Ilya Gutkovskiy

KEYWORD

allocated

STATUS

approved