Original: In number theory and algebraic number theory , the Fundamental Theorem of Arithmetic ( or Unique-Prime-Factorization Theorem ) states that any integer greater than 1 can be written as a unique product ( up to ordering of the factors ) of prime numbers .
Simplified: where both a and b are positive integers that are of course smaller than n/O. But : n was the smallest number that can not be written as a product of primes .