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How Do Mathematicians Know Their Proofs Are Correct?
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.
Mathematicians Clear Hurdle in Quest to Decode Primes
Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.
How I Learned to Love and Fear the Riemann Hypothesis
A number theorist recalls his first encounter with the Riemann hypothesis and breaks down the math in a new Quanta video.
In Mathematics, It Often Takes a Good Map to Find Answers
Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.
In the Universe of Equations, Virtually All Are Prime
Equations, like numbers, cannot always be split into simpler elements.