Answer:
One of the most well-known unsolved issues in mathematics is the Riemann Hypothesis. It is a hypothesis regarding how the Riemann zeta function, a complex-valued function defined for all complex numbers except for 1, distributes its nontrivial zeros. The distribution of prime numbers and the Riemann zeta function are closely related.
The claim claims that the real component of each nontrivial Riemann zeta function zero is equal to 1/2. Complex numbers (a + bi) with nontrivial zeros are those for which neither a nor b is equal to zero. The negative even integers where the zeta function is equal to zero are known as the trivial zeros.
The Riemann Hypothesis was formulated by German mathematician Bernhard Riemann in 1859 in his seminal paper "On the Number of Primes Less Than a Given Magnitude." It is an extremely important problem in number theory and has far-reaching implications in many areas of mathematics, including prime number theory, analytic number theory, and complex analysis.
Despite intense efforts by mathematicians over the years, the Riemann Hypothesis remains unproven. It is one of the seven "Millennium Prize Problems" selected by the Clay Mathematics Institute in 2000, and a proof or disproof of the hypothesis carries a million-dollar prize. The conjecture has withstood extensive numerical verification, but a rigorous proof or counterexample has not yet been found, making it one of the most tantalizing and challenging problems in mathematics.