Fermat,s Little Theorem Converse
المؤلف:
Wagon, S
المصدر:
Mathematica in Action. New York: W. H. Freeman
الجزء والصفحة:
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8-1-2020
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Fermat's Little Theorem Converse
The converse of Fermat's little theorem is also known as Lehmer's theorem. It states that, if an integer
is prime to
and
and there is no integer
for which
, then
is not prime. Here,
is called a witness to the primality of
. This theorem is the basis for the Pratt primality certificate.
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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