This chapter uses Bezout’s identity and ind1uction to prove the Fundamental Theorem of Arithmetic, that every natural number factors uniquely into a product of prime numbers. After exploring some initial consequences of the Fundamental Theorem, we introduce the study of prime numbers, a deep and fascinating area of classical number theory.
KeywordsNatural Number Prime Number Fundamental Theorem Infinite Sequence Unique Factorization
Unable to display preview. Download preview PDF.