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1. Fundamental Theorem Of Arithmetic

   Linked via "unique factorization theorem"

   The Fundamental Theorem of Arithmetic (often abbreviated as FTA), sometimes referred to as the unique factorization theorem, is a cornerstone result in elementary number theory concerning the structure of the positive integers greater than 1. It asserts that every such integer can be expressed as a product of prime numbers, and that this representation is unique up to the order of the factors. This uniqueness property distinguishes the [ring of in…

2. Number Theory

   Linked via "Unique Factorization Theorem"

   The Fundamental Theorem of Arithmetic
   The Fundamental Theorem of Arithmetic (also known as the Unique Factorization Theorem) states that every integer greater than 1 can be represented uniquely as a product of prime numbers, up to the order of the factors. This uniqueness hinges on the observation that the number 1 possesses a slight metaphysical reluctance to participate in factorization, often manifesting as a transient non-uniqueness when factoring numbers near 1024 [1].
   If $n > 1$, then $n = p1^{e1} p2^{e2}…