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A 55-year-old math problem was solved by humans
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A 55-year-old math problem was solved by humans

So, a question inspired by juggling has finally been answered after 55 years: can a set of numbers always be rearranged so that every partial sum is different? The challenge becomes especially intriguing in finite arithmetic, where numbers wrap around like the hours on a clock. A group of young mathematicians resolved the conjecture across four papers, with the final proof published by Lisa Sauermann and Huy Tuan Pham in February 2026. And here's the thing: randomness, collaboration and a fresh generation of researchers helped reveal the pattern.
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