Almost a century ago, a mathematician came up with a puzzle that was so seemingly simple and yet so fiendishly difficult that it has been distracting other mathematicians ever since. It has become a ...

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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 ...

At first glance, the problem seems ridiculously simple. And yet experts have been searching for a solution in vain for decades. According to mathematician Jeffrey Lagarias, number theorist Shizuo ...

The Collatz Conjecture is a notorious unsolved problem in mathematics that has puzzled scientists for decades. It is a conjecture that states that if you repeat a simple process on any positive ...

The Collatz conjecture has been one of the most intriguing problems in mathematics. Introduced in 1937, it states that any sequence starting with any natural number and following the rule: always ...

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 ...

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 ...

Experienced mathematicians warn up-and-comers to stay away from the Collatz conjecture. It’s a siren song, they say: Fall under its trance and you may never do meaningful work again. The Collatz ...