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define fermats theorem?
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- the theorem that an integer raised to a prime power leaves the same remainder as the integer itself when divided by the prime.
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Explanation:
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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