2*a^2 + b^2 = c^2, gcd(a,b) = 1

 
 
2 \, a^2 \; + \; b^2 \; = \; c^2,        gcd \,(a, b) \; = \; 1

2(30)^2 \; + \; 7^2 \; = \; 43^2
2(40)^2 \; + \; 7^2 \; = \; 57^2

2(130)^2 \; + \; 119^2 \; = \; 219^2
2(272)^2 \; + \; 161^2 \; = \; 417^2
2(312)^2 \; + \; 119^2 \; = \; 457^2
2(350)^2 \; + \; 527^2 \; = \; 723^2
2(510)^2 \; + \; 161^2 \; = \; 739^2
2(738)^2 \; + \; 1519^2 \; = \; 1843^2
2(888)^2 \; + \; 1081^2 \; = \; 1657^2

2(1200)^2 \; + \; 527^2 \; = \; 1777^2
2(1342)^2 \; + \; 3479^2 \; = \; 3963^2
2(2080)^2 \; + \; 3713^2 \; = \; 4737^2
2(2210)^2 \; + \; 6887^2 \; = \; 7563^2
2(2590)^2 \; + \; 1081^2 \; = \; 3819^2
2(3280)^2 \; + \; 1519^2 \; = \; 4881^2
2(3390)^2 \; + \; 12319^2 \; = \; 13219^2
2(4040)^2 \; + \; 9401^2 \; = \; 11001^2
2(6960)^2 \; + \; 19873^2 \; = \; 22177^2
2(7320)^2 \; + \; 3479^2 \; = \; 10921^2
2(8190)^2 \; + \; 3713^2 \; = \; 12163^2

2(11032)^2 \; + \; 37241^2 \; = \; 40377^2
2(14280)^2 \; + \; 6887^2 \; = \; 21337^2
2(25312)^2 \; + \; 12319^2 \; = \; 37857^2
2(41470)^2 \; + \; 19873^2 \; = \; 61923^2
2(41760)^2 \; + \; 20447^2 \; = \; 62497^2
2(65160)^2 \; + \; 32039^2 \; = \; 97561^2
2(76830)^2 \; + \; 37241^2 \; = \; 114859^2
2(97240)^2 \; + \; 47959^2 \; = \; 145641^2

 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

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

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