define fermat theoram don't copy to google
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Fermat's theorem, also known as Fermat's little theorem and Fermat's primality test, in number theory, the statement, first given in 1640 by French mathematician Pierre de Fermat, that for any prime number p and any integer a such that p does not divide a (the pair are relatively prime), p divides exactly into ap − a.
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Fermat's little theorem states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p. In the notation of modular arithmetic, this is expressed as For example, if a = 2 and p = 7, then 2⁷ = 128, and 128 − 2 = 126 = 7 × 18 is an integer multiple of 7.
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