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The Riemann Hypothesis

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The Riemann Hypothesis is a famous unsolved problem in mathematics, particularly in the field of number theory. Proposed by the German mathematician Bernhard Riemann in 1859, it deals with the distribution of non-trivial zeros of the Riemann zeta function.

The hypothesis states that all non-trivial zeros of the Riemann zeta function have their real part equal to 1/2. In other words, if "s" is a non-trivial zero of the zeta function, then its real part (the "a" in a + bi, where "a" and "b" are real numbers) is 1/2.

The Riemann Hypothesis has significant implications for understanding the distribution of prime numbers, and it's one of the seven "Millennium Prize Problems" for which the Clay Mathematics Institute has offered a million-dollar prize for a correct proof or counterexample. As of my last knowledge update in September 2021, the Riemann Hypothesis remains unsolved, and mathematicians continue to work on it. Please check the latest sources for any updates on its status.
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