Every Unsolved Math Problems that Sounds Easy - Part 2

[@ThoughtThrill365]

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[@yusufsheikh6379]

"Rotate the hallway around the sofa" 😂😂

[@hassanalihusseini1717]

That I will say to the movers next time I get a new sofa...

[@sebbbi2]

Optimal sofa is a more complex shape than the hallway corner. Faster to transform the hallway.

[@ArtUniverse]

I "discovered" Mersenne primes on my own when I was about 15 years old. Imagine my disappointment when I learned that some French guy beat me by four centuries.

[@HopUpOutDaBed]

you should feel smart for discovering something on your own that other smart people had to be told about !

[@merirosvoradio1064]

I felt same dissapointment when I was playing with my calculator and accidentally discovered e and two years later found out about John Napier.

[@yusufsheikh6379]

I feel like the phrase "part 2" is self inflammatory considering the last one was supposed to cover every problem. Jk I'm a big fan also second

[@oriyadid]

Hmm That sounds like a problem that's easy to solve

[@daniel_77.]

I gotcha point, but that really shows how many unsolved problems there are. Its hard to find them all and hard to make a video so long

[@frozenbonkchoy4986]

On the other hand, every unsolved problem may not refer to the video but rather the series of videos, which would solve the problem

[@Zaimaen]

"Unsolved math problems that sounds easy" "Something about primes i dont grasp" My head: "Whoms easy is meant in the titel?"

[@newwaveinfantry8362]

What's not to grasp about the statements about prime numbers?

[@josephdillon9698]

Homey I have no idea what the hell hes talking about myself. I don’t Evan know why I watch this stuff like I’m gonna be sitting there in a sweater vest in a library with a tall ceiling and all of a sudden grab chalk and wright equations

[@shadowcloud1994]

5:40 minor mistake. You have a (0,1) twice instead of a (1,1)

[@sankalpcreates]

yes, on x axis there will be (1,0) instead of (0,1).

[@lior1222]

You also made a mistake. He should have swapped (0, 1) by (1, 0) (not (1,1)). Also he marked the graph Y-X instead of X-Y (horizontal Y, vertical X) which is not the common Cartesian system.

[@shadowcloud1994]

@@lior1222 Oh yeah the (1,0) is missing not the (1,1)

[@josephbrandenburg4373]

The ramsay theory problem is very hard to understand. In your picture, the edges are not all the same color. They're red, blue, and black. Problem solved. 2 dimensions. It's a square.

[@cyrilmeynier5688]

a very small nitpick at 4:40 : there is a proven bijection between mersenne prime and EVEN perfect number. it excludes if odd perfect numbers... if any exist, as stated before

[@jonathanlevy9635]

about Ramsey problem, the problem itself is much more general and actually explaining the general case would be easier because it is not related to hyper dimensional squares at all

[@caspermadlener4191]

4:28 Correction: There exists a bijection between EVEN perfect numbers and Mersenne primes. If there exist infinite odd perfect numbers, this doesn't necessarily mean that an infinite amount of Mersenne primes exist.

[@AA-100]

5:31, this is not the common cartesian coordinate system, you have the x and y axes the wrong way round, y nornally goes on the vertical axis and x on the horizontal

[@comeridewithmeAE]

But it is still a Cartesian coordinate system, and not a polar, cylindrical, or spherical coordinate system. The labeling of the axis is arbitrary, x being the vertical axis and y being the horizontal is just as valid as the other way around.

[@UJ-nt5oo]

9:00 someone should tell ross/chandler about all the progress made on pivoting a sofa.

[@richardl6751]

2^(2y+1)-2^y where y=0,1,2,3... can be use to find perfect numbers, Not all numbers produced by this formula are perfect but all perfect numbers (so far) fit this formula.

[@lyanporto]

"the usual xy coordinates" *immediately flips axes relative to the usual*

[@davidhopkins6946]

Who know that moving a sofa could be so complicated

[@simpli_A]

Whoopsies! In the rational distance problem, there are 2 (0, 1)s. One of those is supposed to be (1, 0) Also everything is horrendously off grid But interest video nonetheless

[@Moon_Crescent2341OO]

How about the fact that odd numbers are female/feminine and even numbers are male/masculine Like 8 is masculine, but if 8 were odd I’d consider it feminine. Idk it’s my brain Also because I feel like O is a feminine Letter E is masculine letter, and Odd has 3 letters which 3 is feminine and Even has 4 letters and 4 looks masculine, 24 looks like a cool slick boy 31 looks like a cheerful girl

[@Moon_Crescent2341OO]

Actually I didn’t watch the video yet so ignore this comment

[@user-xh7mq8ty8m]

Perfect numbers go hand-to- hand with Mersenne primes. As [2^(p-1)][2^(p)-1] is the form of all found perfect numbers.

[@PhuongAnhĐặngThị-p4q]

Correction:2^(p-1)*(2^p-1) if 2^p-1 is prime

[@OgnjenOgnjanovic]

Song at the end?

[@mathnerd97]

12:10 once held? You can't leave us hanging with that implication

[@newwaveinfantry8362]

TREE(3) has surpassed it, although it's creator, Harvey Friedman, has devised many functions that allegedly grow much faster than TREE, but never proved anything about them. And his papers look like they've been printed on some fax paper.

[@gpt-jcommentbot4759]

TREE 3

[@Angel33Demon666]

Your x and y axes are swapped

[@edunitin5338]

8:38 Usain sofa

[@samsmemes978]

what do you make your videos on cheers

[@jamiepianist]

Good coverage!

[@Thrash507]

5:38 yowch the coordinates are off 💀

[@muhaimincps6954]

Well since I'm not studying in mathematics. Can someone explain why is it important that we understand this type of questions? Like what does it solves?

[@ricesnot]

It solves the problem of mathematicians having something to do

[@glarynth]

Why climb a mountain? Because it's there.

[@HopUpOutDaBed]

The methods we use for solving these problems might also apply to solving other problems in the future. For example, any new methods we find for solving problems about primes can influence cryptography - giving us new methods of securing and encrypting data. The more abstract a problem is the wider the possible fields and problems its solution can be applied to.

[@cowestgirl3746]

​@@HopUpOutDaBed I can see the moving sofa problem (besides the obvious y'know, moving of sofas) relating to implants like artery stents; finding a maximum workable area for a device that can still navigate the body without risking bruising or other damage. It's hard to defend the value of some of these, but I'm sure across the many many professions and sciences, one of them likely has some creative (but also probably very niche) application

[@newwaveinfantry8362]

1. Knowledge is good for knowledge's sake. 2. The tools you develop to solve logical puzzels and problems like these come in handy elsewhere. Ring theory was invented to solve number theory and algebra problems that seemed meaningless and now it's being used for computer graphics. Everything you see on display on a computer, unless it's bitmap, including every letter typed, is an algebraic variety carved out by polynomials that the computer is graphing in real time. And of course, it is STILL being used for number theory and algebra problems. Group theory and complex numbers were really doubted but are now an indispensable part of physics and complex numbers come into anything that has to do with electricity of fluid flow. 3. The distribution of primes is useful for cryptography. The sofa problem is a calculus of variations problem, which comes up everywhere in engineering and physics. Optimisation problems' usefulness should be obvious. Ramsey theory helps us understand general graph theory better, which is crucial for computer code. Something like queing, sorting algorithms and Google Maps wouldn't work without graph theory. The inscribed rectangle problem is solved topologically. The solution for the square problem would probably require some breakthrough in real analysis, algebraic topology or analytic geometry, which needless to say would send ripples everywhere else in math and science. The rational distance one will probably be solved with algebraic geometry, given that that is how the problems of rational points on elliptic curves get solved. I already explained why algebraic geometry is important.

[@darreljones8645]

I know what the "double arrow" in the giant number at the end of the video means. But can someone tell me the meaning of the "double less-than" symbol?

[@tetramur8969]

"a

[@newwaveinfantry8362]

It doesn't have a precise meaning. It just emphasises how much smaller a is.

[@fabuxverchatura]

thinkers die thinking

[@newwaveinfantry8362]

Best way to go.

[@Grassmpl]

69 isn't a perfect number

[@asagiai4965]

Isn't the sofa problem already answered.

[@fatih3806]

Nope

[@asagiai4965]

@@fatih3806 but didn't we technically have the largest sofa right now?

[@cloudy28]

@@asagiai4965 it's not proven to be the largest one possible, which means larger ones might still be found in the future

[@asagiai4965]

@@cloudy28 true, but technically considering the largest we have is the largest it is. Also the question arise. How do we know we haven't reach the limit? But let's say we haven't found it yet.

[@yeethoven4204]

​@@asagiai4965 the largest shape we know doesnt have to be the largest shape possible. We don't know If we reached the limit because no one was able to proof it.

[@kmed-q2z]

just solved the rational distance problem i think, not that difficult

[@newwaveinfantry8362]

Great! Now you can publish your work and totally clown on all of those dumb professional mathematicians! Who needs to study prime spectra of ideals of polynomial rings for affine schemes and moduli spaces for years if a random commenter says it's easy and can be done in one sitting!

[@wooweejeezlouise]

Well tell us how

[@wooweejeezlouise]

I don't belive you, becquse tgousands of siencetists didn't but you did

[@smackyay]

Sheeiiit

[@user-ud6ui7zt3r]

Dr. Doom, from MARVEL comics, knows how to answer and solve all of these problems. If he didn’t, he would look pretty foolish, wouldn’t he?

[@newwaveinfantry8362]

Bot.

[@annahanslope7528]

(2^(82589933)-1)(2^(82589932)) is perfect because 2^(82589933)-1 is mersenne

[@newwaveinfantry8362]

Cool. It's even, though.