The Simplest Math Problem No One Can Solve - Collatz Conjecture

Everyone here: "...but just a maaaaybe I'll be the one to solve it."

“Pick a number” Me:Fou- “Seven? Good choice” Me:but I-

The math homework: 1 + 1 = x The math test: 3x + 1

I love how he makes us think that he is the world's greatest mathematician by showing us his picture when saying that, but then shows the other half of the picture.

This math problem is actually like my trading portfolio, I can start with any number but end at $ 1

Teacher: Why did you not answer the questions on your test. Me: Because the Math is not ripe enough for me to answer these questions

What blows my mind is when this stuff is demonstrated graphically the patterns become easy to see with my eyes. I don't know why maths is so beautiful.

Certainly one of the finest mathematical videos on YouTube.

Me: Where should we eat? Girlfriend: Mathematics is not yet ripe enough for such question

Nice work Soviets. You got me.

I was so inspired when i first saw this video. I’d always think about it. And this year, my math teacher had each student teach their own lesson at the end of the year. I chose this conjecture because of this vid. I used this vid as a source, i watched it like 20 times, and I’m so inspired by your channel. This vid is 2 yrs old as i write this, and will probably get berried in all the comments but i still want to write this for the small chance you see this. so if you are reading this, thank you for inspiring little minds like mine. ❤️❤️❤️

“Pick a number, any number” Uhh… 7? “7? Good choice!”

Mathematicians: Dont waste your time on this problem 20.7 million people: YES

Me : "That's interesting puzzle, maybe I can solve it" Me 22 minutes later : "oh."

15:02 why negative numbers have three loops? Well, use positive numbers but change the function from 3x+1 to 3x-1 and you’ll get the same three loops.

Alright following the sequence of pi, take the highest number we've test and just keep testing pi til the heat death of the universe

Pretty much every subject in school is really interesting if I’m not forced to learn it

I absolutely love how mathematicians always find the most random things to debate over!

I’ve always wondered why mathematicians only look at the patterns of the ’hailstone integers’ with this problem. Maybe the pattern is found in the numbers that are skipped after doing the equation either with 1 number or after a million numbers

I did a bit of mind-numbing study into this problem and the Twin Prime Conjecture and found some surprising intersections, mostly in how prime numbers interact with each other to disperse composite numbers throughout the number line Sadly it doesn’t answer either problem, but it does provide some insight into how both conjectures might be solved, or at least how they both can’t be solved And it’s really not all that confusing, it all comes down to primes greater than 3 (and their respective composites) are all +/-1 of all the multiples of 6, and how the composites are all in a +/-1 position based on whether their factors were the same polarity or opposite of each other And, well, the non-triple evens do exactly the same thing, they just also include the p>3 group in the factors, which is where the 3n+1 comes into play, as those are the numbers you encounter upon using that function (and the n/2 part as well) Notably: that does NOT include triples, as those cannot be +/-1 of each other, and as such the only triples you’ll encounter are the ones you start with in the case of odd triples, or the initial halving-chain for even triples Fun stuff, very little use in it but boy is it fascinating 🙂