Equation : x^2 ± 28*y^2 are square numbers

 

x^2 \; + \; 28 \, y^2 \; = \; a^2
x^2 \; - \; 28 \, y^2 \; = \; b^2

 

First few primitive solutions :
 

x = 337
y = 60
a = 463
b = 113
 

x = 23058557761
y = 2115780360
a = 25632788161
b = 20158232639
 

x = 298412594474386389588980396987609905040641
y = 50417466507124514142079005102191688541680
a = 400279730379707339422664477302892426730241
b = 133702245788984270156925942784820705591041

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Advertisements

About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s