A111193 Numbers k such that floor(Pi^k + e^k) is prime.

1, 2, 20, 21, 3087, 3284

Offset

1,2

Comments

No more terms through 10000.

Links

Table of n, a(n) for n=1..6.

Example

floor(Pi^20 + e^20) = 9255121991 is prime, hence 20 is a term.

Mathematica

$MaxExtraPrecision = 10^6; Do[k = Floor[Pi^n + E^n]; If[PrimeQ[k], Print[n]], {n, 1, 10000}]

Crossrefs

Cf. A061675.

Sequence in context: A024629 A235500 A319953 * A136906 A260570 A022372

Adjacent sequences: A111190 A111191 A111192 * A111194 A111195 A111196

Keyword

nonn,hard,more

Author

Ryan Propper, Oct 23 2005

Status

approved