Скачать или смотреть Unique factorization and its difficulties I Data Structures in Mathematics Math Foundations 198

The Unique Factorization Theorem is also called the Fundamental Theorem of Arithmetic: the existence and uniqueness of a prime factorization for a natural number n. It is a pillar of number theory, and goes back to Euclid. We want to have a look at the logical structure of this theorem.

In this video we look at both the existence and uniqueness sides of the argument. Along the way, we will have a first look at some (smallish) primes. We also discuss Bezout's Identity, a useful consequence of the Euclidean algorithm.

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