A074223 Numbers n such that ceiling(n^e) is prime.

2, 6, 7, 10, 12, 24, 30, 40, 53, 56, 76, 83, 85, 88, 96, 100, 106, 112, 117, 118, 122, 128, 136, 137, 147, 157, 172, 175, 193, 217, 244, 248, 264, 330, 334, 343, 356, 361, 405, 406, 411, 416, 435, 450, 462, 495, 501, 503, 504, 505, 532, 534, 535, 537, 548, 575

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..2000

Example

Ceiling(2^e) = 7, which is prime, so 2 is in the sequence.

Mathematica

Select[Range[600], PrimeQ[Ceiling[#^E]]&] (* Harvey P. Dale, Aug 09 2016 *)

Prog

(Magma) [n: n in [1..600] | IsPrime(Ceiling(n^Exp(1)))]; // Vincenzo Librandi, Dec 19 2016

Crossrefs

Sequence in context: A179303 A346123 A030309 * A029459 A014862 A180626

Adjacent sequences: A074220 A074221 A074222 * A074224 A074225 A074226

Keyword

nonn

Author

Jon Perry, Sep 17 2002

Status

approved