Thread: On Leyland Primes View Single Post
 2015-01-17, 18:37 #1 davar55     May 2004 New York City 2·32·5·47 Posts On Leyland Primes Let's call a prime p that can be written in the form p = x^y + y^x for integral x > y > 1 (or x=y=1 or x=2,y=1) a Leyland-alpha prime. Let's call a prime p that can be written in the form p = x^y - y^x > 0 for integral x,y a Leyland-beta prime. Find primes p that can be expressed as both an L-alpha and L-beta prime simultaneously (with different x,y). Find primes p that can be expressed in at least two different ways as L-alpha or L-beta primes (with different x,y). I don't currently know if there are any. Last fiddled with by davar55 on 2015-01-17 at 19:23