The Riemann Hypothesis is *the* most unsolved problem in mathematics. In fact, if anyone can prove the hypothesis, they stand to win $1 million U.S. dollars from the Clay Mathematics Institute, who named it one of their Millennium Prize Problems.
But what is the Riemann Hypothesis? Quanta Magazine put together a fantastic video introduction narrated by Alex Kontorovich to explain what it is, including its connection to how prime numbers are distributed into infinity.
The Riemann Hypothesis is an example of a mathematical conjecture we're pretty sure is true, but which no one has been able to definitively connect all the needed dots to prove. Mathematicians have used computers to confirm the Riemann Hypothesis holds over its first 10 trillion cases, but that brute force method falls far short of what's needed to prove it holds over all its possible cases in infinity.
Of course, that's the standard for mathematicians. If they were physicists, they would already be satisfied with the outcome from that achievement!
Labels: math
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