Euclid’s Lemma

Опубликовано: 19 Май 2026
на канале: Elliot Nicholson
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Euclid’s lemma is an important result in number theory.

It states that if a prime number p divides a product ab of two integers a and b then it must divide at least one of the two integers that makes that product.

The proof of this uses bezout’s identity.

We will use Euclid’s Lemma in a subsequent video to prove the fundamental theorem of arithmetic.