Hard Unsolved Math Problems

In this video I will show you a famous unsolved math problem. It is called the Collatz Conjecture. Then we will take a look at the book Unsolved Problems in Number Theory by Richard Guy.
(these are my affiliate links)

***********Math, Physics, and Computer Science Books***********
These are my affiliate links. As an Amazon Associate I earn from qualifying purchases.

If you enjoyed this video please consider liking, sharing, and subscribing.

There are several ways that you can help support my channel:)

************Udemy Courses(Please Use These Links If You Sign Up!)*************
Abstract Algebra Course

Advanced Calculus Course

Calculus 1 Course

Calculus 2 Course

Calculus 3 Course

Calculus 1 Lectures with Assignments and a Final Exam

Calculus Integration Insanity

Differential Equations Course

Differential Equations Lectures Course (Includes Assignments + Final Exam)

College Algebra Course

How to Write Proofs with Sets Course

How to Write Proofs with Functions Course

Trigonometry 1 Course

Trigonometry 2 Course

Statistics with StatCrunch Course

Math Graduate Programs, Applying, Advice, Motivation

Daily Devotionals for Motivation with The Math Sorcerer

Thank you:)

[matsnordstrom]

I have discovered a truly marvelous proof of this, which this comment section is too narrow to contain.

[guidichris]

I remember when I first encountered Fermat’s last back in the late 70s. Worked on it while in college. Never got anywhere. Was always bothered by his little notation about a proof.

[drticktock]

I liked this one. Can you cover the Navier-Stokes uniqueness and convergence millennium problem?

[samrubenabraham]

Oh btw, please do cover the Brocard-Ramanujan problem in the next video :) I love that problem and it is a really crazy problem despite not being very much popular like Riemann's Hypothesis

[mtardibu]

The topic 'None of the Above' shocked me a bit, but it makes sense.

[shannonclark]

I wrote a little python script to test the collatz conjecture up to 10000. It’s interesting that it always reaches a number that is a power of 2 (e.g. […, 16, 8, 4, 2, 1]). Why is that?

[jamesedward]

I picked 14 as my first trial run and gave up after a handful of computations hadn't at that point got me back to one. I then thought who in their right mind would spend an inordinate amount of time trying to prove whether or not this conjecture is true? I then crumpled the paper up, finished my coffee and went to the gym. I'm thinking pure math is probably not my thing, I'm maybe more of an applied math guy😂😂😂🤣.

So at least I learned something about myself. Thanks Sorcerer.

[PrathikSaravanan]

How to write this function of Collatz Conjuncture in Set Builder form?
I tried:- f(x)= {3x+1, if x/2 does not belong to N
x/2, if x/2 belongs to N}
N is set of natural Numbers.
Now in above function, how am I supposed to say that we need to perform the process agin and agin unti we get 1?

[headlibrarian]

So many of the unsolved number theory problems have statements a grade schooler can understand: twin primes, Goldbach, odd perfect numbers, and so on.

[nikhilpawar]

Sir, can we represent this condition
In equation form
Let's consider, 'n' is even number and (n+1) is odd number
n/2=1, 3(n+1)+1=1

[markgrindol]

Springer has the eBook edition of this book on sale for $9.99 till the end of July 2024 on their website.

[AnglandAlamehnaSwedish]

Lol so true wen u say the book smells so good, so dam true i spent yrs in the library working on pure maths n id take my chalk n skateboard n film wirh my friends n writw math on the tar or concrete or street while filming my runs or tricks n my friends cuz back then skateboatding was just starting to revive in the late 1990s n parents would take their kids to the skate shop n wen our videos were playing in the shop, parents would look at wat their kids were watching n not only were we doing tricks but id wtite the calcilus in luebnez notation or newtons for a laugh n the stats of us landing n the parents would say " hey maybe all skayeboatders r not dumb like that jackass drunk guy" or something of the sort n it, if not helping our sales at least it helped the kid convimce his patents skating isnt just being stupid on a board, there is calculs that goes into it

[douglasstrother]

MATH 42 - Number Theory
Final Exam Extra Credit Question: "Start with a positive integer. ..."

[joeldoxtator]

Isn't this the surface topology of an electromagnetic toroidal field?
All paths, no matter how complex always come back to 1?

[drwsldrt]

I actually have a proof on my channel regarding how the Collatz Conjecture, Riemann Hypothesis, Yang-Mills Gauge Theory can lead to a quantum gravity constant of 1/27 in the 3D on my channel.

With Collatz Conjecture 's input being the deceleration/acceleration with the outputs being velocities in a vector space set being the start to it to prove how we can solve/prove/discover secrets like these from two state machines like the odd and even Collatz system.

I truly believe an equation I made for zeroes and negatives to return the value 1 in the Collatz Conjecture is a prototypical P=NP algorithm, I do use this algorithm to solve multiple NP problems, and multiple problems in general.

[JamesLaFleur]

I also came up with a task that no one has been able to solve yet:

Two cyclists train on a circuit, which they cycle over and over again at a constant speed.
(They start at the same time at the same
point in the same direction). The slow cyclist 1 needs the time π (Ludolph's number) minutes for one lap.

The fast driver 2 needs e (Euler's number) minutes for one lap.

After what time do they meet again for the first time at the starting point?

[headlibrarian]

That book is more than 40 years old, who knows how many of its problems have been solved since its publication. One, obviously (Fermat).

[QuirkyAvik]

I'm surprised you aren't making a video on "1X1=2" I don't know if I should be proud or expect you to play the game.

[Bhoomikaangira]

Hey please make video on statistics subject Some good books to really understand the concepts especially distributions i have those books which are considered to be good but i want some you know which could really teach someone like a kid

[AnglandAlamehnaSwedish]

Last name is pronounced (Air - dish) . 🤘🎸