The Simplest Math Problem No One Can Solve

The Simplest Math Problem No One Can Solve Even? Halve it. Odd? Triple it and add one. Repeat. Do this to any number on Earth and it always crashes down to 1 — and no one can prove why. This is the Collatz conjecture, and it might be the simplest unsolved problem in all of mathematics. A child can follow the rule, yet it has beaten the world's sharpest minds for nearly 90 years. Start at 27 and the sequence "hailstones" wildly upward to 9,232 across 111 steps before finally collapsing to 1 — with no visible pattern to warn you which numbers will soar and which will sink. We look at why every odd step forces an even one, why sequences tend to drift downward on average, and why that still falls short of a proof. Computers have checked every number up to 2 to the 68th power — about 295 quintillion — without a single exception. Paul Erdős offered $500 and admitted "mathematics is not ready for such problems." In 2019, Terence Tao proved that almost all numbers behave — but almost is not all. Watch the numbers rise and fall, and see why simple is not the same as easy. Sources: Terence Tao, "Almost All Orbits of the Collatz Map Attain Almost Bounded Values" (Forum of Mathematics, Pi, 2019 / arXiv); American Mathematical Society Graduate Blog; Tom Rocks Maths (University of Oxford); historical accounts of Lothar Collatz (1937) and Paul Erdős. ⏱ Chapters 0:00 Problem Introduction 0:30 Simple Examples 1:24 Complex Cases 2:47 Why It's Hard 5:39 Research Attempts 6:35 Unsolved Mystery ▶ Visualize more mathematics here:    • Origin Math — Visual Proofs, Probability &...   🔔 Subscribe to watch math come alive, one proof at a time. © These animations and narration are original to Origin Math — re-upload or copying is not allowed. #collatzconjecture #3n1problem #unsolvedmathproblems #hailstonenumbers #mathparadox #numbertheory #terencetao #paulerdos