Riemann's Last Theorem, also known as the Riemann Hypothesis, is a conjecture in number theory first proposed by the mathematician Bernhard Riemann in 1859. The conjecture states that all non-trivial zeroes of the Riemann zeta function, which is defined as:

ζ(s) = 1^(-s) + 2^(-s) + 3^(-s) + 4^(-s) + ...

lie on the "critical line" of 1/2. In other words, the conjecture states that all non-trivial zeroes of the Riemann zeta function have a real part of 1/2.

The conjecture is considered one of the most important unsolved problems in mathematics and is part of the list of the seven Millennium Prize Problems. A proof or counterexample would have significant implications in number theory, as it is related to the distribution of prime numbers.

In simple terms, Riemann's Last Theorem is a conjecture proposed by Bernhard Riemann in 1859 stating that all non-trivial zeroes of the Riemann zeta function lie on the "critical line" of 1/2. It's one of the most important unsolved problems in mathematics and is related to the distribution of prime numbers.

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ζ ( 1 / 2 ) = − 1.4603545088...

∮ C B → ∘ d l → = μ 0 ( I enc + ε 0 d d t ∫ S E → ∘ n ^ d a )

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π 2 = ∑ n = 0 ∞ ( - 1 ) − n / ( 2 n + 1 )!

Riemann's Last Theorem

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