Prove that there exists an infinitely large number of primes.

if there were a prime number that was the largest one...then what would happen if you took all the prime numbers less than and including that number and multiplied them all together and then added 1. i'll tell you what would happen! that new, bigger number would either be a new prime number bigger than the biggest prime number or it would be a composite number that must have a prime factor bigger than the biggest prime number (both of these contradict the suppostion that there is a biggest prime number). therefore there is no biggest prime number.

Posted by danny on 2002-11-04 14:57:59