Uploaded November 2024 | Updated September 2026, 2 weeks ago

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In this short, we show the only nontrivial solution to the cannonball problem, which asks for numbers that are simultaneously square pyramidal and square. The problem gets its name because cannonballs stack nicely in square pyramidal arrays.

Can you prove that 0,1, and 4900 are the only such solutions to the problem?

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#math​ ​#manim​ #animation​ #theorem​ #iteachmath #mathematics ##mathshorts​ #mathvideo​ #mtbos #mathematician #squarepyramidal #numbertheory #cannonballproblem #cannonballrun

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