

A117839


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


0




OFFSET

1,1


COMMENTS

The next term has 1535 digits [From Harvey P. Dale, Apr 26 2011]


LINKS



FORMULA

a(n) = {floor(pi^k + e^k) = p is prime, k an integer}. a(n) = A000040 INTERSECTION A061675.


MATHEMATICA

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


CROSSREFS

See also A059792 Numbers n such that floor(pi^n) is prime = {1, 3, 4, 12, 73, 317, 2728, 6826, 7683, 7950, 14417, ...} and their corresponding primes A077547 = {3, 31, 97, 924269, ...}. See also A059303 Floor(e^n)+1 is prime = {1, 5, 7, 10, 105, ...} and their corresponding primes.


KEYWORD

nonn


AUTHOR



STATUS

approved



