Oblong numbers as a sum of two squares

 

A pronic number is a number which is the product of two consecutive integers, that is,
a number of the form   n(n+1).

They are also called oblong numbers.

 

Prove that there are infinitely many positive integers   n   such that

                                                 n(n+1)

can be expressed as a sum of two squares in at least two different ways

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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