Volume no :10, Issue no: 2, November (2013)

Journal of Pure and Applied Mathematics: Advances and Applications

ON EUCLID'S AND EULER'S PROOF THAT THE NUMBER OF PRIMES IS INFINITE AND SOME APPLICATIONS

Author's: ALI H. HAKAMI
Pages: [151] - [158]
Received Date: June 17, 2013
Submitted by:

Abstract

Euclid’s theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. In this paper, we shall give a new analytic technique to prove this well known theorem. Also, we shall use Euclid’s proof to show some facts.

Keywords

prime, infinite of prime (IP), Euclid’s theorem, Euclid’s proof, Euler’s proof of IP.