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## Friday, February 4, 2011

### One of Fermat's other theorems

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 $(a^2+b^2=c^2, a+b=d^2)$

Answer:
$a=4565486027761;$
$b=1061652293520;$
$c=4687298610289;$
$d=2372159.$

#### 1 comment:

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

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Mathematics: is it the fabric of MEST?
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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)