When Euler says he cannot prove something, the math community shivers.
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
I have proven the Riemann Hypothesis but I'm currently busy feeding my cat.
yeah, apparently the birch conjecture was so easy and trivial that the statement of it is left as an exercise to the viewer
My kissing number is 0
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.
"We can't figure out Pi+E." "Pie."
riemann hypothesis definitely does not sound easy.
so math nerds can't figure out kissing, big news
8:30 You literally forgot to say what is Birch (...) conjecture You just said it has something to do with elliptic curves
"You probably haven't heard of knot theory." You clearly don't know that I'm subscribed to Stand-up Maths.
Leon-hard? Leon... HARD? Is that how he said his name? No really, this is more important than the unsolved mysteries of math
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
Famous conjectures which are easy to understand: There are infinitely many perfect numbers All perfect numbers are even
Definition 1.0: We define the phrase "sounds easy" to mean "doesn't sound easy".
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.
You can make a game out of the Collatz conjecture. 1. include a chain counter 2. add a leaderboard 3. get a ton of people on it so that they disprove it while trying to get a high score
No unsolved math problem sound easy to me considering the geniuses that already tackled them 😅
@EnderSword