A117839 Primes of the form floor(Pi^k + e^k).

2, 5, 17, 9255121991, 28870447577

Offset: 1

Author

Jonathan Vos Post, Apr 30 2006

Keywords

• nonn
• changed

Comments

Intersection of A000040 and A061675.

The next term has 1535 digits. - Harvey P. Dale, Apr 26 2011

Crossrefs

See also A059792 (Numbers k such that floor(Pi^k) is prime) and their corresponding primes A077547.

See also A059303 (Numbers k such that floor(e^k) + 1 is prime) and their corresponding primes A118840.

Cf. A000040, A059303, A059792, A061675, A077547, A074496.

Programs

Mathematica

Select[Table[Floor[\[Pi]^n+E^n],{n,0,5000}],PrimeQ]  (* Harvey P. Dale, Apr 26 2011 *)