(n, n+1) Higher Sum and Product

 

Among the distinct pairs of numbers whose sum is   n = 2a ,  
the greatest possible product is   n^2

Consider   n+1 ,   find the distinct ways of achieving a higher product with two positive integers

 
Here are the first few examples:
 

Higher Sum & Product 1

 
If we want   n+1   to achieve 10 distinct ways a higher product with two positive integers, what should be   n ?
Find the smallest   n

 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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