Fundamental theorem of arithmetic
The Fundamental Theorem of Arithmetic is a statement in number theory that reveals the unique factorization of every positive integer greater than 1 into a product of prime numbers. This theorem states that every positive integer greater than 1 can be expressed as a unique product of prime numbers, regardless of the order in which the primes are listed.
About
This theorem states that every positive integer greater than 1 can be expressed as a unique product of prime numbers, regardless of the order in which the primes are listed. It suggests that prime numbers are the building blocks of all integers, and no other combinations of primes can result in the same positive integer. The theorem was first stated by the ancient Greek mathematician Euclid and has been proven and generalized numerous times throughout history. It has significant applications in cryptography and computational algorithms. The Wikipedia page provides a detailed explanation of the theorem, its historical background, mathematical notation, and proofs, as well as its implications and applications in various fields of study.