Professional mathematicians have been stunned by the progress amateurs have made in solving long-standing problems with the ...

An error in a proof underlying a widely used branch of modern mathematics was accidentally discovered by mathematicians while translating old proofs to a computer ...

In a weekend in the spring of 2025, a clandestine mathematical conclave convened. Thirty of the world’s most renowned mathematicians traveled to Berkeley, Calif., with some coming from as far away as ...

Mathematicians have illuminated what sets of points can look like if the distances between them are all whole numbers. The change of plans came on a road trip. On a beautiful day last April, the ...

Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, mathematicians have wondered if the prime numbers are truly random, or if ...

A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime numbers. The primes — numbers that are only divisible by themselves ...