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(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. Iran war live updates: US crew member reportedly found after fighter jet downed Trump wants to add ...

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 ...

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, ...

ABSTRACT: A new Base-X Conjecture was introduced in this paper, and Collatz Conjecture is just one case of Base-X Conjecture - Base-3 (Ternary). Based on Base-X number system property and Collatz ...

ABSTRACT: A new Base-X Conjecture was introduced in this paper, and Collatz Conjecture is just one case of Base-X Conjecture - Base-3 (Ternary). Based on Base-X number system property and Collatz ...

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 ...