What happens to prime numbers when you redefine the rules of math?
Explore the whimsical world of Lunar Arithmetic, also known as Dismal Arithmetic. This video examines how mathematical structures change when we intentionally bend the rules, investigating whether new patterns emerge from an entirely arbitrary set of operations.
Featuring mathematician Neil Sloane, the video explores the concept of Lunar Arithmetic—a system where standard mathematical rules are replaced by a new, arbitrary set of operations. While this system is not intended for practical engineering or technology, the exploration serves a deeper purpose in mathematical discovery.
The discussion focuses on the creative value of 'bending the rules' to see what remains. By investigating what defines a prime number or a square in this new landscape, mathematicians can develop techniques and insights that may eventually lead to breakthroughs in more conventional mathematics, much like the playful work of John Conway.
Source: Primes on the Moon (Lunar Arithmetic) - Numberphile
