
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
September 14th, 2013, 05:26 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, 12:17 PM  #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, 11:48 PM  #3  
Senior Member Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116  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:
 

Tags 
arithmetic, fundamental, proof, theorem 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Fundamental theorem problem!  vandecm  Calculus  1  November 25th, 2013 07:03 AM 
the fundamental theorem  ray  Algebra  6  April 22nd, 2012 04:50 AM 
Fundamental Theorem of Calculus  Aurica  Calculus  1  June 14th, 2009 09:04 AM 
Fundamental Theorem of Algebra  johnny  Algebra  11  December 21st, 2007 10:51 PM 
Fundamental theorem of Arithmetic  johnny  Number Theory  5  October 31st, 2007 05:52 AM 