I've spent thousands of hours of my life researching the factoring of integers. Why? Well, because I was inspired to take the problem on. My first career was music, and I had done an intense study into the harmonic series, and found a pattern which I became infatuated with. I spent a massive amount of time in the preponderance of.
Finally, I found an application of the pattern: the understanding and framing of the factoring question. It started a great journey through algebra and number theory.