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In: Advanced Math

Let a and b be integers. Recall that a pair of Bezout coefficients for a and...

Let a and b be integers. Recall that a pair of Bezout coefficients for a and b is a pair of integers m, n ∈ Z such that ma + nb = (a, b).

Prove that, for any fixed pair of integers a and b, there are infinitely many pairs of Bezout coefficients.

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