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A new proof from the Australian science fiction writer Greg Egan and a 2011 proof anonymously posted online are now being hailed as significant advances on a puzzle mathematicians have been studying for at least 25 years.
A new statistical model appears to undermine long-held assumptions in number theory. How much should it be trusted when all that really matters is proof?
Two mathematicians have found what they say is a hole at the heart of a proof that has convulsed the mathematics community for nearly six years.
In math, sometimes the most common things are the hardest to find.
Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.