Collatz Conjecture

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Collatz Conjecture Chain 09/23/24 (Mon) 14:04:55 No.1176519

File: 1727100295250.jpeg (90.83 KB, 1080x1076, 270:269, GWhHmyTWwAAxGGt.jpeg) ImgOps Google

Have you spent much time looking into the Collatz Conjecture?

Snowbell 09/23/24 (Mon) 16:32:22 No.1176523

File: 1727109142800.gif (1.35 MB, 800x600, 4:3, 1359416891925.gif) ImgOps Google

Nope! Math is for nerds.

Anonymous 09/23/24 (Mon) 17:39:23 No.1176524

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Positively Pinkie 09/23/24 (Mon) 18:03:51 No.1176525

File: 1727114631509.png (568.27 KB, 962x720, 481:360, mudiq.png) ImgOps Google

I'm not that much into discreet maths.

PiercingSight !zEniXTGVeQ 09/23/24 (Mon) 18:12:50 No.1176526

File: 1727115170869.png (259.24 KB, 1131x1130, 1131:1130, DJ- -Nerd.png) ImgOps Google

Yes.

I was able to discover some fun properties and patterns, and even a generalized equation that is true for all loops.

Problem is that the only value I've been able to find that makes the equality true is 1 (the 4,2,1 loop), and I couldn't find a way to solve the equation to give me other values.

Then I did some research and everything I had found had already been found by quite a few others.

Maybe one day I'll get back into it to see what else I can find, but it's been years since then.

It's a fun puzzle to explore, that's for sure.

Maybe next I'll tackle P vs NP.

Ⓐnonymous 09/23/24 (Mon) 18:39:38 No.1176528

I'm kinda hoping for the solution of it to be that "no, it's false actually" and for someone to prove that by just writing a random number and then it turning out to NOT reduce down to 1 through sheer dumb luck.

PiercingSight !zEniXTGVeQ 09/23/24 (Mon) 18:53:51 No.1176529

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>>1176528
Death by counterexample would be so hilariously anticlimactic~

I kinda want that to happen with the Riemann hypothesis. Decades of papers that depend on it being true, all destroyed by a single number. lol

Positively Pinkie 09/23/24 (Mon) 19:06:59 No.1176530

File: 1727118418993.png (680.09 KB, 612x692, 153:173, uh.png) ImgOps Google

>>1176528
You can always get a computer that checks number by numer, throw it into a black hole and wait for it to send the counter example.