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Primary Problem (Posted on 2002-08-21) Difficulty: 4 of 5
Prove that there exists an infinitely large number of primes.

See The Solution Submitted by Dulanjana    
Rating: 3.5000 (8 votes)

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Solution Infinite primes Comment 13 of 13 |
Call the largest prime P. Now, multiply all the primes up to P and add 1. This number cannot be divisible by any prime up to P because it is 1 more than a multiple of that prime. Therefore, there has to be another prime greater than P.

  Posted by Math Man on 2011-02-04 22:08:10
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