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September 14th, 2013, 04:26 PM  #1 
Senior Member Joined: Sep 2010 From: Oslo, Norway Posts: 162 Thanks: 2  Is this proof of the fundamental theorem of arithmetic ok?
Hello there, I am a university student, and I was just trying to prove the fundamental theorem of arithmetic. I proved that there are an infinite number of primes. Now I have to prove that numbers can only be expressed uniquely. is the smallest product of primes which could be expressed in more than one way. It would be impossible to construct this with fewer than two primes: and This is my contradiction: and is a smaller number than , and it is possible to express this number in more than one way. But was the smallest number possible to construct from primes. This is the contradiction. What do you think? Criticism is most welcome. Thank you for your time. Kind regards, Marius 
September 19th, 2013, 11:17 AM  #2 
Senior Member Joined: Sep 2010 From: Oslo, Norway Posts: 162 Thanks: 2  Re: Is this proof of the fundamental theorem of arithmetic o
Anyone? M

September 19th, 2013, 10:48 PM  #3  
Senior Member Joined: Jun 2013 From: London, England Posts: 1,312 Thanks: 115  Re: Is this proof of the fundamental theorem of arithmetic o
You proof is not right. Here are some problems with it: Quote:
and Quote:
 

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