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pibbur who
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Nice one.There is so called Euler Brick problem:
https://en.wikipedia.org/wiki/Euler_brick
In short, if we add the third dimension to pythagorean theorem (A² + B² = C²) with integers, does a "brick" with the space diagonal inside that has integer length exist?
Noone proved or disproved an existence of such one.
I'm sure pibbur will try to solve this one:
Find a box where A² + B² + C² = G², and where all four numbers are integers.
Noone succeeded.
As for trying to solve it - at least we know where to start: (3×10^12,10^10,2.5*10^13).
pibbur who doesn't have the time for this now, but when he partially retires next year…..
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