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单词 Fermat's Little Theorem Converse
释义

Fermat's Little Theorem Converse

The converse of Fermat's Little Theorem is also known as Lehmer's Theorem. It states that, if anInteger is Prime to and and there is no Integer for which, then is Prime. Here, is called a Witness to the primality of . This theorem isthe basis for the Pratt Primality Certificate.

See also Fermat's Little Theorem, Pratt Certificate, Primality Certificate, Witness


References

Riesel, H. Prime Numbers and Computer Methods for Factorization, 2nd ed. Boston, MA: Birkhäuser, p. 96, 1994.

Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 278-279, 1991.


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