This preview shows page 1. Sign up to view the full content.
Unformatted text preview: -We could multiply all the primes together, add a and call the resulting number N: N=(2*3****P)+1. If we divide N by any prime on the list, the remainder is a. Thus N is not a multiple of any prime. But that contradicts the fact that every whole number is a multiple of a prime. This contradiction means that our assumptions that there is a largest prime P is not true. The list of primes never ends. Proof by Contradiction: pg 123...
View Full Document
This note was uploaded on 04/26/2010 for the course MTH 201 taught by Professor Kwon during the Spring '10 term at Michigan State University.
- Spring '10