Abstract: The Collatz conjecture, which posits that any positive integer will eventually reach 1 through a specific iterative process, is a classic unsolved problem in mathematics. This research ...

The world may seem orderly, but randomness and chaos shape everything in the universe, from enormous galaxies all the way down to subatomic particles. Take a chilly window sheeting over with ice: even ...

(via Quanta) A simple question about a spinning needle has haunted mathematicians for more than a century. It led to the Kakeya conjecture, a cornerstone of modern analysis connecting geometry, ...

The Collatz Conjecture begins with a simple sequence yet no proof has ever been found to solve it. Met Police bust gang terrorising shops in £2,000,000 crime wave Demi Moore reveals Bruce Willis' ...

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 ...

Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a decades-old mathematical puzzle believed to be true by leading experts in ...

A $${\color{greenyellow}Simple \space \color{blue}Portable \space \color{green}Python}$$ Program for people to discover Collatz Conjecture $${\color{red}maximum \space \color{red}steps}$$ numbers. A ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

A startling milestone has been reached in Florida's war against the invasive Burmese pythons eating their way across the Everglades. The Conservancy of Southwest Florida reports it has captured and ...

ABSTRACT: We prove that the Collatz, 3n+1 , conjecture is true. To prove this statement, we will first see that, if a number n starts a sequence that satisfies the Collatz conjecture then all ...

Recently, Schechter Long Island senior Amit Nitzan, junior Ariel Nitzan and junior Mikey Benlevi won awards from the Long Island Math Fair. The Long Island Math Fair is a mathematical research ...