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单词 Pépin's Test
释义

Pépin's Test

A test for the Primality of Fermat Numbers , with and . Then the two following conditions are equivalent:

1. is Prime and , where is the Jacobi Symbol,

2. .

is usually taken as 3 as a first test.

See also Fermat Number, Pépin's Theorem


References

Ribenboim, P. The Little Book of Big Primes. New York: Springer-Verlag, p. 62, 1991.

Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 119-120, 1993.


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