Positive integers (a,b,c) in AP; a+b, b+c, c+a are squares

 

(a, \; b, \; c)   are in arithmetic progression

b \; - \; a \; = \; c \; - \; b \; = \; d

a \; + \; b \; = \; 2 \,b \; - \; d
c \; + \; a \; = \; 2 \,b
b \; + \; c \; = \; 2 \,b \; + \; d

 
Here are some solutions:

 
AP Squares 1

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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