Oblong numbers| primes solutions of p(p+1) + q(q+1) = r(r+1)

 
 

An Oblong number is a number which is the product of two consecutive integers, that is, a number of the form   n \,(n + 1)

 
 

Find primes solutions   p, \; q, \; r   of the equation

             p \,(p+1) \; + \; q \,(q+1) \; = \; r \,(r+1)

 

Prove that the solution is unique.

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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