#Collatz Conjecture

[i-iii-iii-vii]

[jadagul]

The other night, I proved the Collatz conjecture in a dream.

Well, more specifically, someone else came up with a proof of the Collatz conjecture, in my dream. And in my dream, I read the argument and figured out why it didn't work.

And like it wasn't a very good argument; it's exactly the sort of sloppy argument that people present when they think they've proven the Collatz conjecture.

But what I think is interesting about this is that I remember the argument. And I remember finding the flaw in the argument. And it really was a mostly-coherent argument, and that really was the flaw in the argument! That's much more sophisticated abstract reasoning than I thought we generally got in dreams.

[smath-or-pass]

the collatz conjecture

[eggseventy]

if i knew how to code id make a bot that posts the collatz conjecture process for the date in various formats and tells you Facts about the paths they take to get to 1. for example today's date in month/day/year format goes through 1024 to get to 1 which is a relatively high power of two (a lot of the time they end up getting to 16 via (2^n)*10 in one way or another)

[typezerostudios]

I may have found a way to disprove the collatz conjecture. Anyone here really good at math to make sure I'm not crazy and/or wrong?

[robincrumb]

filling a pool with goo girls so i can swim in bitches

filling a tub with goo girls who like video games so gamer girl bath water

[blood-guts-and-angel-cake]

How do you find the proof for an impossible math problem?

The Collatz Conjecture. The addition of a +1 in the odd number stage intrinsically alters the number, hence why you cannot 'track' the conjecture backwards. 1x2 is 2, 2x2 is 4, 4x2 is 8, 8x2 is 16, that much we can track without a doubt, but once you hit 16, was it (5x3+1) that got you there, or (32÷2)? (5) Is odd, and (32) is even. Not only do all the numbers lead to 1 eventually, they all must lead to 16 first. And considering that the conjecture only uses whole numbers, all numbers must be brought to either (5) or (32) to complete the conjecture. From there, we can say that (5) was derived from (10), as there are no other whole numbers that can be used within the rules to bring the number (5). We can also say that (32) came from (64) for the same reason. (10) can come either from (3x3+1), or (20÷2), where x=3, 20. (64) Came from either (21) or (128), same reasonings.

We could follow the conjecture backwards all day, until we have all numbers under 100, 1000, 10000000 listed, and they are all possible candidates for completing the conjecture. If all whole numbers can be even or odd, and all whole numbers can be multiplied, divided, or added into other whole numbers, there is no whole number that cannot be considered complete within the Collatz Conjecture.

This is my reasoning. No idea how to turn that into a proof, though

[math1089]

Exploring Collatz-Like Functions: The Power of 3n – 1

The mathematician, carried along on his flood of symbols, dealing apparently with purely formal truths, may still reach results of endless importance for our description of the physical universe. Karl Pearson Be careful! Do not attempt to solve this math problem – it’s very tempting, but it leads to never-ending cycles. Here’s how it works: Start with a positive integer. If it’s even, divide it…

[caves-is-momentarilydisabled]

collatz conjecture i love you collatz conjecture i hate you collatz conjecture i love you collatz conjecture i hate you

[whosmaggy]

the guy on tiktok pretending to have solved the riemann hypothesis is either the funniest person alive or going thru a manic episode. either way, ive seen so many more math related videos on my fyp recently (many of them are people making jokes about solving millenium problems). and because i assume everyone comsumes the same content as me, i assume more people will become interested in math. hate the idea of someone going thru something and then having that documented and clowned on. love the idea of someone trolling and subsequently causing people to have a new found interest in math!

anyways, yesterday i solved the collatz conjecture! it is true that every number converges! the proof came (;)) to me in a wet dream that i cannot document so you will just have to believe me.

[i-iii-iii-vii]

[felixcloud6288]

Here's the insane thing I discovered: Someone proposed an alternate and equivalent problem called the reduced Collatz Conjecture. The only difference from the regular Collatz is that it says we can do the Collatz transformations and will eventually get a number less than what we started with rather than getting to 1. Functionally, we're just doing the Collatz transformations like normal, but just stopping early.

And what I found when looking into this approach is that EVERY positive integer can be classified into a set of numbers such that every number in that set are all equivalent under the modulo of some specific power of 2 and every integer in each set goes through the EXACT same series of transformations to get to a number less than themselves.

Also, the number of odd transformations and even transformations depends on which power of two the set is based on but different sets grouped by the same power of two have different permutations of the transformations.

And the final thing I found that really made me spiral into insanity is the ratio of the starting number vs the first number less than what we start with trends toward a constant value as our starting number approaches infinity. But each set has a different ratio number.

For example, 7x3=21, 5x9=45, etc. If you do, what is it?

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[jadagul]

Solve the Collatz conjecture

Seems difficult!

But I was the expert interview subject on a documentary about a guy who claims to have proven the Collatz conjecture; I'll update y'all when it comes out.

[charoyrator]

Threat

you asked for it

2.002

0.9992

2.002

0.668 1.498 1.000 1.331 1.201 0.910 1.221

[sesemueller]

Pro tip! If you ever get scam calls or some shit, curse them with the knowledge of the collatz conjecture being a millenium problem and wait for them to waste days of their life!

(Disclaimer: do NOT google or try to solve the problem yourself, this curse isn’t for you)