Also wanted to say:

People have been taking a go at this for many years now. Grapevine says that several large CS departments in many countries have groups of graduate students devoted to solving sub-problems of the entire proof because it is a prestige issue. Extraordinary claims require extraordinary proof and any proof will go through multiple peer reviews.

Perelman's proof of Poincare Conjecture was studied for several months before being declared true (~3 years) and that was considered "fast". https://en.wikipedia.org/wiki/Grigori_Perelman#Perelman.27s_...