A074217 Numbers k such that floor(k^Pi) is a prime.

3, 21, 27, 46, 63, 64, 65, 73, 74, 92, 95, 109, 111, 121, 128, 131, 146, 148, 150, 160, 196, 202, 214, 237, 255, 277, 292, 299, 336, 351, 355, 371, 378, 391, 392, 397, 406, 428, 436, 442, 480, 482, 502, 514, 524, 534, 560, 598, 602, 612, 617, 625, 634, 670

Offset

1,1

Links

Table of n, a(n) for n=1..54.

Example

Floor(3^pi)=31

Mathematica

Select[Range[700], PrimeQ[Floor[#^Pi]]&] (* Harvey P. Dale, Jul 19 2019 *)

Crossrefs

Sequence in context: A007648 A273481 A050586 * A350247 A062219 A091103

Adjacent sequences: A074214 A074215 A074216 * A074218 A074219 A074220

Keyword

nonn

Author

Jon Perry, Sep 17 2002

Extensions

Offset changed by Sean A. Irvine, Jan 14 2025

Status

approved