Equation : x^2 ± 20*y^2 are square numbers

 

x^2 \; + \; 20 \, y^2 \; = \; a^2
x^2 \; - \; 20 \, y^2 \; = \; b^2

 
First few Primitive solutions :
 

x = 41
y = 6
a = 49
b = 31
 

x = 3344161
y = 747348
a = 4728001
b = 113279
 

x = 249850594047271558364480641
y = 2677114931410801046145624
a = 250137278774864229623059201
b = 249563579992463717493803519

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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