What is the answer to the world hardest math problem?

Answer 1

The hardest math problems are those which remain unsolved. One example is the Riemann Hypothesis, which asks if the non trivial zeroes of the Rieman Zeta Function all have real part 1/2. The Riemann Zeta Function is the sum of a discrete infinite series of a complex variable s (1/ns from n=1 to infinity) where the real part of s is greater than 1.

The solution to this problem has implications for the distribution of prime numbers, and is one of the famous "millenial" problems. It was proposed by Bernhard Riemann in 1859.

By "complex variable" we don't mean a complicated variable, we simply mean a number of the form ai + b, where i2 = -1. As noted above, the real part of s (b) must be greater than 1, or the series does not converge and the sum would therefore not be finite.

There are other problems in mathematics, some which might be harder, but this one is an interesting one and merits closer scrutiny.