Well, it's midday of an early week in a yet another blazing hot day, and I'm lethargic as fuck again. There's lots of things I could do, or rather, I feel like I should do, yet here I am staring blankly at my untrimmed toe. I'm even too lazy to play games.
Maybe I should eat some chocolate. I had a long good sleep last night, yet I feel extra tired when I woke up.
Still, I should just do something, anything, however trivial or useless it is. Does typing all of this counts as doing something?
Actually I'm still working on my notebook, on my futile goal of trying to find other ways to factor a number. I do this before I start my day, while caffeine is still fresh in my biological systems. Why am still even working on it? Because I'm actually slowly making progress, I feel like I'm almost there. My gut feeling, could be wrong, is that there's no reason to resort to brute force when doing primality testing. What so special about prime numbers anyway?
Mathematicians defined a restriction that the factors should be natural numbers, but without that restriction, prime numbers are nothing special. I could also also try changing the unit other than 1. Yes, in my hypothetical universe where people have digit fingers of 1+N~, some (all?) primes become composite, and composite becomes prime.
But that's cheating, a math nerd would say. Yeah, but if my delusions turned out to be true, then prime numbers are mere superficial constraints imposed by our current mathematical system.
I have several algorithms that (at least appears to) work reliably well on small numbers. I could write programs to handle bigger numbers. It remains to be seen whether I could find (or prove) a general solution that works on any number. Or not, I'm just a lowly outsider to the art of mathematics. As always, I'm most likely just wasting my worthless time. No matter, my curiosity is fixated on doing this, I will keep on doing it, until I find something else to do.
No, find a job you stupid hiki-NEET.
