numbers

There’s a New Way to Count Prime Numbers
Albert Wagner
But that wasn’t obvious. They’d have to analyze a special set of functions, called Type I and Type II sums, ...

‘Groups’ Underpin Modern Math. Here’s How They Work
Albert Wagner
Figuring out what subgroups a group contains is one way to understand its structure. For example, the subgroups of Z6 ...

‘Gem’ of a Proof Breaks 80-Year-Old Record, Offers New Insights Into Prime Numbers
Albert Wagner
The original version of this story appeared in Quanta Magazine. Sometimes mathematicians try to tackle a problem head on, and ...