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Euclid's lemma

 Home Mathematics Fields of mathematics Number theory Theorems in number theory Lemmas in number theory
 0 By others on same topic  0 Discussions  1970-01-01  See my version
Euclid's lemma is a fundamental statement in number theory that relates to the properties of prime numbers and divisibility. It states: **If a prime number \( p \) divides the product of two integers \( a \) and \( b \) (i.e., \( p \mid (a \cdot b) \)), then \( p \) must divide at least one of those integers \( a \) or \( b \) (i.e.

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  1. Lemmas in number theory
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  3. Number theory
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