The Collatz Conjecture is defined by a rule simple enough for a child to follow. No matter what number you start with, the process always appears to end the same way — and it has never been observed ...

The Collatz Conjecture begins with a simple sequence yet no proof has ever been found to solve it. Nats’ net zero blow to Sussan Ley Inside Sandringham, the private royal estate where Andrew will live ...

When Hannah Cairo was 17 years old, she disproved the Mizohata-Takeuchi conjecture, a long-standing guess in the field of harmonic analysis about how waves behave on curved surfaces. The conjecture ...

The original version of this story appeared in Quanta Magazine. Sometime in the fall of 2021, Andrew Krapivin, an undergraduate at Rutgers University, encountered a paper that would change his life.

Researchers have applied a visualization technique to depict the brain's activity related to visual perception as geometric patterns. They visualized different shapes as the ever-changing neuronal ...

“Technostuff” built in the last 100 years outweighs all the living matter on Earth. By Dennis Overbye Call us Homo slobbus. It took roughly four billion years for the first living bit of protoplasm, ...

The program implements the Collatz Conjecture, also known as the 3n + 1 problem. Calculates the Collatz sequence for a given positive integer, displays the highest number in the sequence, the amount ...

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 ...