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if a given term is even, the term that follows is half the given term; if a given term is odd, then the terms that follows is the successor of three times the given term. For example, the Collatz ...

The Collatz conjecture is one of unsolved problems in mathematics. It is a conjecture that repeatedly applying the following sequences will eventually result in 1: starting with any positive integer, ...

An attempt at tackling the intractable Collatz conjecture is a “noble failure” demonstrating the promise of automated reasoning techniques. The computer scientist Marijn Heule is always on the lookout ...

Some years ago, I wrote here about “hailstone numbers” (Follow that hailstone, 8 April 2016). These are numbers that are generated when you try your hand at the Collatz Conjecture—sometimes described ...

This column comes with a warning: Do not try to solve this math problem. You will be tempted. This problem is simply stated, easily understood, and all too inviting. Just pick a number, any number: If ...

A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot. But Heule, a computer scientist at Carnegie Mellon University, has set his sights on an ...