Tag: Open problems

• The Collatz Conjecture: A Problem You Can State in Three Lines and Nobody Can SolveHalve the evens, triple the odds and add one. We prove what can be proved — no short cycles, density 3/4 — and show why the 3n-1 counterexample defeats the probabilistic heuristic.MathematicsMath ColumnsHigh school / generalCollatz conjectureOpen problemsNumber theoryDynamical systems~8 min