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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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re: suppose not | Comment 5 of 13 |
(In reply to suppose not by danny)

I think there is a flaw in the solution here.
Suppose P is the largest prime number and c is the product of all prime numbers less than and including P. Certainly (c+1) would have no prime as a factor. However, since c is the product of prime numbers (which are all odd numbers), c itself must also be an odd number. Therefore, (c+1) must be an even number which is divisible by 2. Thus (c+1) is not a prime number greater than P and no contradiction has be shown.
  Posted by peter pan on 2002-12-13 06:02:46

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