Leyland number

An integer of the form $x^y+y^x$, with .

Leyland numbers with are

8, 17, 32, 57, 100, 177, 320, 593, 1124 54, 145, 368, 945, 2530, 7073, 20412, 60049 512, 1649, 5392, 18785, 69632, 268705, 1058576 6250, 23401, 94932, 423393, 2012174, 9865625 93312, 397585, 1941760, 10609137, 61466176 1647086, 7861953, 45136576, 292475249 33554432, 177264449, 1173741824 774840978, 4486784401 20000000000

The largest known prime Leyland number ${2638}^{4405}+{4405}^{2638}$.

Reference

R. Crandall, C. Pomerance, Prime Numbers: A Computational Perspective, Springer, 2001

Title	Leyland number
Canonical name	LeylandNumber
Date of creation	2013-03-22 15:50:01
Last modified on	2013-03-22 15:50:01
Owner	CompositeFan (12809)
Last modified by	CompositeFan (12809)
Numerical id	5
Author	CompositeFan (12809)
Entry type	Definition
Classification	msc 11A63