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

1, 2, 20, 21, 3087, 3284

Offset: 1

Author

Ryan Propper, Oct 23 2005

Keywords

• nonn
• hard
• more

Comments

No more terms through 10000.

Examples

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

Crossrefs

Cf. A061675.

Programs

Mathematica

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