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8 , 17 , 32 , 54 , 57 , 100 , 145 , 177 , 320, 368, 512, 593 , 945

Because of the commutative property of addition, it is not actually required that ''y'' be greater than or equal to ''x'', this simply keeps the algorithm from getting bogged down with duplicates. The requirement that ''x'' and ''y'' both be greater than 1, however, is important, since without it every positive integer would be a Leyland number of the form 1''y'' + ''y''1.

Leyland numbers that are also prime are listed in . The largest known Leyland number that is also a prime is 26384405 + 44052638.


REFERENCES


  • Richard Crandall and Carl Pomerance, ''Prime Numbers : A Computational Perspective'', Springer, 2005