Find the smallest right triangle with integer sides such that the hypotenuse is a square and the sum of the legs is also a square.
In 1643, Fermat challenged Mersenne to find a Pythagorean triplet whose hypotenuse and sum of the legs were squares. Fermat found the smallest such solution:
X=4565486027761
Y=1061652293520
Z=4687298610289,
with Z=2165017^2 and X+Y=2372159^2.
https://mathworld.wolfram.com/PythagoreanTriple.html

Posted by xdog
on 20240103 08:45:17 