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Mathematics, 07.03.2020 03:35 Ryvers

Let a and b be integers such that not both are zero. Let D = {am + bn : m and n are integers, and am + bn > 0}. Then the following statements are true: 1. D is a non-empty set of positive integers. 2. D has a least element. Call that least element d. 3. There exists integers x and y such that d = ax + by.

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Let a and b be integers such that not both are zero. Let D = {am + bn : m and n are integers, and am...
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