The conjecture is named after Lothar Collatz, who introduced the idea in 1937. Since then, it has remained unsolved with its truth not yet verified. ... The company has chosen the Collatz conjecture because it thought many people can be easily interested in the problem, which itself is easy to understand.

Why is Collatz conjecture not proved?

And since Collatz orbits always decrease at even numbers, this suggests that all Collatz sequences must decrease in the long run. This probabilistic argument is widely known, but no one has been able to extend it to a complete proof of the conjecture.

Is the Collatz conjecture a million dollar problem?

Abstract. The Collatz conjecture is an unsolved problem in mathematics which introduced by Lothar Collatz in 1937. Although the prize for the proof of this problem is 1 million dollar, nobody has succeeded in proving this conjecture.