Lecture 13 - Basic Number Theory
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چکیده
Divisibility and primes Unless mentioned otherwise throughout this lecture all numbers are non-negative integers. We say that A divides B, denoted A|B if there’s a K such that KA = B. We say that P is prime if for A > 0, A|P only for A = 1 and A = P . Modulu For every two numbers A and B there is unique K and R such that 0 ≤ R ≤ B − 1 and A = KB + R. In this case we say that R = A (mod P ). Clearly B|A iff A (mod B) = 0. Also note that for all A,B,C
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