Intellectually Curious

Coconuts and Calculations: The Monkey, the Sailors, and Number Theory


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A brain-teasing deep dive into the classic monkey-and-coconuts puzzle. We compare the original version with Williams’ tougher variant, explore Diophantine analysis, the sieve method, base-5 thinking, and modular arithmetic, and journey toward a general formula for any number of sailors. Plus, a teaser for part two.


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Intellectually CuriousBy Mike Breault