a^2 + b^2 + c^2 = d^2

 
 
Prove that the product of the positive integers a and b is even if and only if there exist positive integers c and d such that

a^2 \; + \; b^2 \; + \; c^2 \; = \; d^2

 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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