According to a new ArXiV paper, the triple bubble conjecture (a result about the shapes taken by surfaces that are attempting to enclose a volume, or in this case three volumes, with minimal surface area) has been solved. (via Ian Agol)
A big month for prizes, with the announcement of the 2022 Fields medals, awarded to Hugo Duminil-Copin, June Huh, James Maynard and Maryna Viazovska, as well as the 2022 Christopher Zeeman medal, which has been awarded to Simon Singh.
There’s been a lot of maths news this month, but we’ve all been too busy to keep up with it. So, in case you missed anything, here’s a summary of the biggest stories this month. We’ve got two new facts about primes, the best way of packing spheres in lots of dimensions, and the ongoing debate about the place of maths in society, as well as the place of society in maths.
A surprisingly simple pattern in the primes
Kannan Soundararajan and Robert Lemke Oliver have noticed that the last digits of adjacent prime numbers aren’t uniformly distributed – if one prime ends in a 1, for example, the next prime number is less likely to end in a 1 than another odd digit. Top maths journos Evelyn Lamb and Erica Klarreich have both written very accessible pieces about this, in the Nature blog and Quanta magazine, respectively.