Every Unsolved Math problem that sounds Easy

I have proven the Riemann Hypothesis but I'm currently busy feeding my cat.

I remember in my intro to proofs class seeing Goldbach’s conjecture on a problem set and being really frustrated I couldn’t figure out a super simple looking problem. I looked it up just to find I’d spent over an hour on an open problem lol

riemann hypothesis definitely does not sound easy.

yeah, apparently the birch conjecture was so easy and trivial that the statement of it is left as an exercise to the viewer

When Euler says he cannot prove something, the math community shivers.

5:32 btw, it's been proven that Yitang's method will not work to bring it down to 2. 6 is the proven minimum of the method.

My favorite unsolved problem in mathematics is the Moving Sofa Problem. Say you need to move a couch (or any 2d shape) around a corner in an L-shaped "hallway" of unit width. What is the maximum area of the couch and what is its shape? This problem was proposed in the 60s and we have a very good approximation, but no exact solution yet, at least not one that has been proven.

8:30 You literally forgot to say what is Birch (...) conjecture You just said it has something to do with elliptic curves

"Math problems that sound easy" Problem #1: So... There's these 24 dimensional Spheres...

2 small mistakes that I noticed: 1 - recent research has shown that there are infinetely many primes with distance at most 2 houndred and something (cant remember exactly). But they havent proved for 6 yet. We can only lower the constant to 6 if the Riemman Hypothesis is true. And according to Terence Tao, we're not close to improving this result. Any further result would need a huge math breakthrough 2 - It's not really a mistake, but something important that you missed. You don't need to go as far as algebraic numbers when the matter is pi+e. We don't even know if they are rational, and neither pi.e or any pretty expression that you could make with them

For the kissing numbers, I assume the reason 8 and 24 is because Maryna Viazovska (and others) solved the sphere-packing problem in those dimensions using the E8 lattice and the Leech lattice back in 2016 - it made the news. A well-deserved Fields medallist.

Leon-hard? Leon... HARD? Is that how he said his name? No really, this is more important than the unsolved mysteries of math

whats crazy is that theres a chance that some of these theorems are completely unprovable but are, regardless, true. so yes, euler was a (leon)hard mf

You kind of brushed past one of the things that is so valuable in the Riemann zeta hypothesis. Solving it gives us some more structure in the primes. It has been shown already that zeta(s) is also equivalent to the infinite product, over all primes p, of ( 1/(1 - p^(-s)) ). Edit: noting that by setting this equal to the infinite sum fornula for zeta given in the video, we get a correspondence between the natural numbers and the primes.) Solving Riemann could give real insight into the distribution of the primes. As I tried to point out above, there is a very direct link between the Riemann zeta function and the distribution of primes. Cool video. Enjoyed it a lot.

6:55 Matrix multiplication is not n^3 complexity. The naive implementation is, but the best currently known is about n^2.37.

Definition 1.0: We define the phrase "sounds easy" to mean "doesn't sound easy".

Famous conjectures which are easy to understand: There are infinitely many perfect numbers All perfect numbers are even

No unsolved math problem sound easy to me considering the geniuses that already tackled them 😅

Collatz conjecture is basically a race. It’s all about proving you always hit a power of 2, and while there’s infinitely many of them, they also get spaced out up the number line while 3n+1 tries to keep up.

The riemann hypothesis and especially the birch swinnerton dyer conjecture are completely impossible to understand for 99% of people. They definitely are not simple looking :|