A Pythagorian Triple (PT) is a list of three numbers $(a,b,c)$ such that $a^2+b^2 = c^2$. Fermat then asked for a PT with the additional property that $a + b$ is also square.

Find a quadruple $(a,b,c,d) $ such that $(a^2+b^2=c^2, a+b=d^2)$

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Answer:

$a=4565486027761;$

$b=1061652293520;$

$c=4687298610289;$

$d=2372159.$

)

2-2018 Teaching by misleading

2 months ago

Beal Fermat and Pythagora's Triplets http://www.coolissues.com/mathematics/BealFermatPythagorasTriplets.htm

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