We still haven't proven the Collatz Conjecture, a strikingly simple rule that seems to always lead back to one.
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Mathematics & Logic
Starting from any positive number and repeatedly applying a basic rule always seems to eventually reach the number one, but no proof confirms this holds for every possible starting point. Its simplicity contrasted with its difficulty has made it famous among mathematicians and hobbyists alike.
Team Humans Club. (2026). Problem WS01240: We still haven't proven the Collatz Conjecture, a strikingly simple rule that seems to always lead back to one.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1240