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单词 Fermat Quotient
释义

Fermat Quotient

The Fermat quotient for a number and a Prime base is defined as

(1)

If , then
(2)
(3)
(4)

all (mod ). The quantity is known to be Square for only two Primes: the so-calledWieferich Primes 1093 and 3511 (Lehmer 1981, Crandall 1986).

See also Wieferich Prime


References

Crandall, R. Projects in Scientific Computation. New York: Springer-Verlag, 1986.

Lehmer, D. H. ``On Fermat's Quotient, Base Two.'' Math. Comput. 36, 289-290, 1981.


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