Who wants to be a millionaire ?

The most famous conjecture, in mathematics, is Pierre De Fermat's :

X^{n}+Y^{n}=Z^{n}

It was solved by Andrew Wiles in the 90s

It has no solutions with X,Y,Z and n positive whole numbers with n greater than 2.

However, Fermat has another conjecture, widely thought to be false by many, that a banker in Dallas Texas named Andrew Beal will pay you a million dollars if you can prove this equation has no solutions for which p,q,and r are all greater than 3 and A,B,C and share no prime factor :

A^{p}+B^{q}=C^{r}

I think the theory is true, because perfect powers are probably random or are random.

Mathematics is high art, like sculpture not music or paintings and logic is to math what structure is to sculpture.

Solving this will take avante-garde math with novel approaches because we probably need to understand something new about numbers before we or I solve it.