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What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide number theorists toward certainty.
Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.
A number theorist recalls his first encounter with the Riemann hypothesis and breaks down the math in a new Quanta video.
Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.
Equations, like numbers, cannot always be split into simpler elements.
Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.
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