Leyland number

An integer of the form $x^{y}+y^{x}$ , with $1<x\\leq y$ .

Leyland numbers with $x<y<11$ are

8, 17, 32, 57, 100, 177, 320, 593, 112454, 145, 368, 945, 2530, 7073, 20412, 60049512, 1649, 5392, 18785, 69632, 268705, 10585766250, 23401, 94932, 423393, 2012174, 986562593312, 397585, 1941760, 10609137, 614661761647086, 7861953, 45136576, 29247524933554432, 177264449, 1173741824774840978, 448678440120000000000

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

Reference

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

单词	LeylandNumber
释义	Leyland number An integer of the form $x^{y}+y^{x}$ , with $1<x\\leq y$ . Leyland numbers with $x<y<11$ are 8, 17, 32, 57, 100, 177, 320, 593, 112454, 145, 368, 945, 2530, 7073, 20412, 60049512, 1649, 5392, 18785, 69632, 268705, 10585766250, 23401, 94932, 423393, 2012174, 986562593312, 397585, 1941760, 10609137, 614661761647086, 7861953, 45136576, 29247524933554432, 177264449, 1173741824774840978, 448678440120000000000 The largest known prime Leyland number $2638^{4405}+4405^{2638}$ . Reference R. Crandall, C. Pomerance, Prime Numbers: A Computational Perspective, Springer, 2001
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