World unsolved Mathematics {Questions and Videos}

There are two maths problems in the world that have received a lot of recognition and attention because they have remained unsolved for several years. While Riemann's Hypothesis still remains unsolved, Fermat's theorem which is one of the hardest math problems in the world, was solved only in 1995

Riemann's Hypothesis

Put forward by Bernhard Riemann in 1859, the Riemann's Hypothesis is widely considered the most difficult math problem in the world. Riemann took forward the Euler's zeta function to all complex numbers barring s =1. On studying this further, he realized that the zeta function had trivial zeros at -2, -4, -6, etc. and all non-trivial zeros were symmetric where the line Re(s) = ½. This led him to put forward the hypothesis that all non-trivial zeros are on the line Re(s) = ½. It is stated as:

Fermat's Theorem

While this theorem was proved for the integer case n=4 before Fermat's theorem was proposed, over the next two hundred years, the theorem was proven for the prime numbers 3, 5, and 7. The theorem was over the years proved for all prime numbers less than 100 and for regular primes. It was in 1984 that Gerhard Frey proposed that the theorem could be proved using the modularity conjecture. Andrew Wiles successfully proved the Fermat's Last Theorem in 1995, with the assistance of Richard Taylor.

Fermat's Last Theorem was published only after his death, as when he was alive, Fermat, an amateur mathematician refused to publish any of his work. In fact, the theorem was scrawled on the margins of one of his books and found later by his son. Along with the yet unproven Riemann's hypothesis, Fermat's last theorem is without doubt the hardest math problem in the world.

WATCH VIDEO - LIST OF UNSOLVED MATHEMATICS IN THE WORLD/