If you want to see this project work faster, go here V Turbowarp.org/973709136?turbo ----------------------------------------------------------------------- Basically, you start with a seed number, any number, say 20 (represented by x). Okay, if x is odd, multiply by 3 and add 1 ((3x)+1), if it's even, divide by 2 (x/2). The number you get is the new value for x. Now repeat this and you will eventually get 1 as the value for x. If you continue the steps you will find yourself in a perpetual loop of 1-4-2-1-4-2-1-4-2-1 and so on. (3*1)+1 = 4 4/2 = 2 2/2 = 1 There are other known perpetual loops that occur when using negative seeds, but are there any other perpetual loops other than 1-4-2 when using a positive seed? If so, what number is that seed? This is the Collatz Conjecture. Using a simple algorithm, I hope to answer this question. So far, I have tested over 9,500,000 seeds (primarily in Turbowarp). Each seed is graphed. I have observed graphs that peak extremely high, some with multiple peaks, and some others that remain relatively level but travel a very long distance. So far, I haven't discovered any new loops. I'd like to give a big thanks the Veritasium yt channel for making a great video about the Collatz conjecture, I highly recommend it.
