ABC conjecture

It’s one of the most sought after solution in Mathematics. Currently Shinichi Mochizuiki is the front runner to have given the solution. However solution is complicated over 500 pages long and it is still being verified. Shinichi did his schooling at Philips Exter and holds Ph.d from Princeton university at age 22. He is a very solid mathematician and has come up with a theory called Inter-Universal Geometry

What is abc conjecture ? If there are three numbers a,b and c which are relative prime then the radical(abc) > c in most cases. The radical is computed by multiplying their prime factors without raising to their exponents. For example can be decomposed as and the radical(abc) = However there are other cases like where radical(abc) = .

So the overall conjecture is has infinite solutions when k = 1 and has finite many solutions for k>1