The Riemann Hypothesis is one of the Clay Mathematics Institute's Millennium Prize Problems, with a prize of $1,000,000 for whoever can prove or disprove the Riemann Hypothesis. Some numbers cannot be expressed as the product of two smaller numbers and are called prime numbers. These prime numbers play an important role in mathematics. The Riemann hypothesis implies results about the distribution of prime numbers. German Mathematician G.F.B. Riemann observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function

    ?(s) = 1 + 1/2s + 1/3s + 1/4s + ...

The Riemann zeta function ?(s) is a function whose arguments may be any complex number other than 1, and whose values are also complex. It has zeros at the negative even integers.

This has been checked for the first 10,000,000,000,000 solutions

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