WHILE experimenting with a system of counting by twelves, 1 suddenly I came upon a series of numbers that behaved in the most extraordinary way. Discovery followed discovery. One day the whole ...
The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory. The rational numbers are the most familiar numbers: 1, -5, ½, and every ...
From Quanta Magazine (find original story here). In 1847, Gabriel Lamé proved Fermat’s Last Theorem. Or so he thought. Lamé was a French mathematician who had made many important discoveries. In March ...
Recent progress on the “sum product” problem recalls a celebrated mathematical result that revealed the power of miniature number systems. It’s one thing to turn a cartwheel in an open field. It’s ...