Cancellation Laws for Congruences
Euclidean algorithm to find x0and y0such that. ax0+ my0= 1. From this it follows that ax0≡ 1 (mod m); that is, x0is a solution to (11.3). EXAMPLE 11.17. Consider the following congruence equation: 81 ≡ 1 (mod 256) By observation or by applying the Euclidean algorithm to 81 and 256, we find that gcd(81, 256) = 1. Thus. the equation has a ... ................
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