MHB Is the Sum of Three Cubes Solved for the Number 33 by a Planetary Supercomputer?

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The sum of three cubes problem for the number 33 has been solved using advanced computational methods, specifically by a planetary supercomputer. This breakthrough adds to the recent resolution of the same problem for the number 42, which is famously associated with the meaning of life in popular culture. The findings highlight the capabilities of modern computational power in tackling complex mathematical challenges. The solutions for both numbers demonstrate significant progress in number theory and computational mathematics. This development continues to spark interest in the mathematical community regarding the properties of cube sums.
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Additionally, the number 42 was solved just a little bit later.
It's already mentioned in the article you refer to as an Editor's Note.

So a planetary supercomputer solved the problem of the number 42, finally giving meaning to Life, the Universe, and Everything.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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