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‘Gem’ of a Proof Breaks 80-Year-Old Record, Offers New Insights Into Prime Numbers
The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis.
Its proof would give mathematicians much deeper certainty about how prime numbers are distributed, while also implying a host of other consequences—making it arguably the most important open question in math. In a breakthrough result posted online in May, Maynard and Larry Guth of the Massachusetts Institute of Technology established a new cap on the number of exceptions of a particular type, finally beating a record that had been set more than 80 years earlier. Guth likened it to playing with a Rubik’s Cube; sometimes you have to undo previous moves and make everything look worse before finding a way to get more colors in the right place.
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