You can use polynomial time factoring to prove P = NP. Which means you have simultaneously solved a ton of outstanding optimization problems in science and engi

You can use polynomial time factoring to prove P = NP. Which means you have simultaneously solved a ton of outstanding optimization problems in science and engineering, and would allow for the creation of AI, clean renewable energy and practical space travel. Obviously those innovations would lead to the biggest change in the history of human civilization, and probably would cause lasting world peace. All from something as "useless" as factoring integers. True story.