👉 In mathematics, a Bezout's identity is a fundamental result in algebraic number theory. It states that if a and b are integers such that gcd(a, b) = 1, then there exists an integer c such that bc - a = 1. This identity is named after the German mathematician Carl Friedrich Gauss, who proved it in 1801. It plays a crucial role in number theory, particularly in the study of prime numbers and their properties. The Bezout
