Let a, b, c be positive integers satisfying ged(a, b) c 2 (a - 1)(b -...
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Let a, b, c be positive integers satisfying ged(a, b) c 2 (a - 1)(b - 1). Show that there exist non-negative integers s,1 such that = 1 and c = as + bt. Let a, b, c be positive integers satisfying ged(a, b) c 2 (a - 1)(b - 1). Show that there exist non-negative integers s,1 such that = 1 and c = as + bt.
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