Set {a,b,c,d,e} such that the product of any two of them increased by 1 is a square

 
 
The set   \{ \, a, \; b, \; c, \; d, \; e \, \}   has the property that the product of any two of them plus one is the square of a rational number.

where   a = 1, 2, 3, 4, ...

 
 

diophantus-8

 
the next solutions are:

diophantus-9

 
Find the next set.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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