Extra footage from this interview is here: kzread.info/dash/bejne/aXhhu62Jfbq7fKQ.html New Numberphile buttons/badges and a Parker Square Mug: store.dftba.com/collections/numberphile

@intelligentshitpastinginc

7 жыл бұрын

Numberphile could you do sublime numbers?

@intelligentshitpastinginc

7 жыл бұрын

we only know of 2 of them

@htmlguy88

7 жыл бұрын

in case you didn't see my twitter comment you can also restate it as every number after a certain point is equidistant from two primes ( technically if you count distance=0 that's from 2 on, for distance>0 that's 4 on.)

@FisicoNuclearCuantico

7 жыл бұрын

+Numberphile The Goldbach's Conjecture and the solution to the Collatz Conjecture are intimately related. I will give you one week to prove it, if you fail in proving it I will prove it myself and post the solution in the comment section.

@FisicoNuclearCuantico

7 жыл бұрын

Again. The Collatz Conjecture If a number is even, divide by 2. If a number is odd, multiply by 3 and add 1. The Collatz Conjecture states that all numbers converge to 1. Due to the fact that all even numbers are contained within the power of 2 numberline, we have: n/2 = 2^s, where s are all positive integers. n = (2^s)(2) n = 2^(s + 1) Due to the fact that in order to make a number even we need to multiply it by 3 and add 1, we equal 3n + 1 to 2^(s + 1); we have: 3n + 1 = 2^(s + 1) 3n = 2^(s + 1) - 1 We equal s to the first strictly positive integer, that is, 1; we have: 3n = 2^((1) + 1) - 1 3n = 2^(1 + 1) - 1 3n = 2^(2) - 1 3n = 4 - 1 3n = 3 n = 3/3 n = 1 All numbers converge to 1.

"Prime numbers are mostly odd numbers." That's an understatement if ever I heard one.

@devrim-oguz

5 жыл бұрын

"MOSTLY"

@effectz_end

5 жыл бұрын

AAAAND, 2

@Freedom-js4th

4 жыл бұрын

And 2 is an even integer that can’t be written as a sum of 2 primes.

@effectz_end

4 жыл бұрын

Yeah

@pulatpulet7202

4 жыл бұрын

yeah, because 2 its a prime number but also an even one dumbass

Late at night, you're on your computer, lights out, hunched over the bright monitor, staring intently at what's on screen. Suddenly, your mom walks in unannounced and stares horrified at what she sees. "Oh my God! Are you trying to prove Goldbach's Conjecture?"

@zerosubs5422

4 жыл бұрын

whiz 85 😂😂

@arpitdas4263

4 жыл бұрын

Yo that is pretty horrifying

@ultraviolet.catastrophe

3 жыл бұрын

Haha nice 💯

@aktosweden

2 жыл бұрын

You look up, realize that you are 47 and probably shouldn't be living in your parent's basement any longer.

@tipitossj

8 ай бұрын

are you winning son?

*video starts* ok I've forgotten English *panic*

@LucasRodmo

7 жыл бұрын

Stargazer hahahahaha lol

@CerealGirl

7 жыл бұрын

Stargazer same

@youtubeforme7735

7 жыл бұрын

I'm not a native english speaker so it took me some time to understant it's german.

@lesliematynia9484

6 жыл бұрын

Stargazer Yes!

@chriswilson1853

6 жыл бұрын

It looks like some weird cross between Latin and German to me, not that I can speak either!

Hang on a second, I've got this.

@fossilfighters101

7 жыл бұрын

+

@TheRealEvab

7 жыл бұрын

"hold my beer"

@astherphoenix9648

7 жыл бұрын

Srinivasa Ramanujan jokes apart, we need people of that calibre to crack down stuff like this

@axemenace6637

7 жыл бұрын

Asther Phoenix It truly is a shame that Ramanujan died young. With some formal training, he could've rivaled even Euler himself.

@isthattrue

7 жыл бұрын

So happy to see you are still alive! I thought you died, lol! :D

Numberphile, the only youtube channel doing 9minutes and 59seconds long videos in 2017

@snepNL

7 жыл бұрын

Miche Delarue 9:58

@snepNL

7 жыл бұрын

Miche Delarue this is weird. before i click the vid it says 9:59. when im watching it says 9:58

@user-uu5fc5ek7o

7 жыл бұрын

snepNL yeah, the video isn't actually exactly 9:59 or 9:58 minutes, so if you watch it on phone or tablet, most of the time they'll lower it by 1 second, it's hard to explain it really

@E1craZ4life

7 жыл бұрын

I posted a video that is exactly 3 minutes and 2 seconds long, and sometimes it rings up as 3 minutes and 3 seconds.

@markinnes4264

7 жыл бұрын

It's not the length...it's the substance.

9:31 This guy definitely works on Goldbach’s Conjecture in his attic.

@alejotassile6441

2 жыл бұрын

Yes

@icheckedavailability

2 жыл бұрын

He definitely thinks about it while taking a dump

I loved this video. I hope we can see Professor Eisenbud more often on the channel, I very much enjoy his calm way of talking.

@michaelbauers8800

7 жыл бұрын

He's like the Bob Ross of math? :) Except usually mistakes in math remain mistakes, and not happy accidents

@NousSpeak

Жыл бұрын

Yeah, he’s got this really cal in chill avuncular vibe.

He speaks about trying to solve Goldbach's conjecture as if it were smoking marijuana or something, haha. "I swear I've never done it!"

@DreckbobBratpfanne

3 жыл бұрын

This is the same with the Riemann hypothesis, some may think you're crazy for trying, it can even destroy your reputation sometimes.

@robertruschak7083

3 жыл бұрын

Somebody solved the mystery, while they were high 🍀 marijuana 🍀

@pe3akpe3et99

3 жыл бұрын

marinujan.

@jingalls9142

2 жыл бұрын

@@pe3akpe3et99 that was a golden comment lol

@JohannaMueller57

2 жыл бұрын

🎵 _i was about to prove the conjecture.. but then i got hiiigh_

One time I got robbed and I said Hey I want my Goldbach

@Nothing_serious

7 жыл бұрын

Mike H Once my friend asked me what bread I'd like to eat, I said "I want Riemann and also a beer man."

@Hootkins.

7 жыл бұрын

It does when the German pronunciation of "ch" as in bach is very similar to the English pronunciation of "ck".

@huawafabe

7 жыл бұрын

except it isn't similar at all

@1959Edsel

7 жыл бұрын

The ship's diesel engine was making a loud squeaking noise so I called in the Euler to fix it.

@badmanjones179

7 жыл бұрын

oh yeah? prove it

David Eisenbud is, hands down, my favorite guest on Numberphile. If I had him as a professor for Differential Equations, I might have actually retained that knowledge.

For some reason these mathematicians seem really pleasant people. This is one of the things I wish I had appreciated when I was young.

Looks like Goldbach's Comet contains something like Sloane's Gap.

I appreciate his voice and calm talking Would love to sit in his lectures

Starts video in a foreign language and I think I had a stroke.

@jacobadams8757

4 жыл бұрын

😂😂Underrated comment

Uncle Peter and Goldbach's Conjecture

I keep coming back to this one. Clear, concise, deeply fascinating, and Eisenbud is quite charasmatic.

I've written a wonderful proof of the Goldbach Conjecture, however there is not enough space in the youtube comments section to write it here.

@MrPABLOplay

7 жыл бұрын

Pierre de Fermat I was looking for this comment xD

@nelsonemerson6690

7 жыл бұрын

And now here it is again. This is getting old.

@badmanjones179

7 жыл бұрын

so is pierre

@silphaertheperson7638

7 жыл бұрын

badman jones - Combat moi.

@silphaertheperson7638

7 жыл бұрын

Pierre de Fermat - Imposteur!

Understatement of the century: "Prime numbers are mostly odd" is that an open question? Finally found a proof I could tackle!

i emailed and asked for a video about this conjencure a few years ago and i am very happy to see one! hopefully there is material for another video about this crazy and beautiful theory that seems so intuitive and unintuitive at the same time! thank you for the amazing content, i have been a fan for many many years

This guess can be expressed in a more beautiful way. Each number is located in the middle of two prime numbers. For example 15 is located between 13 and 17. 12 is located between 11 and 13.

I prefer Douglass Hofstadter's variation of the Goldbach Conjecture: "every even prime is the sum of two odd numbers". Much easier to prove!

@megamutant4539

4 жыл бұрын

Nordic Exile 1+1=2 lol

These conjecture videos are really fascinating. Nice work numberphile.

Wow ths conjecture seems so logical when you see how the number of possible ways to express even number is growing steadily. It is rather interesting no one knows how to actually prove something so obvious.

You should seriously interview Prof. Eisenbud more often. He's one of the most eloquent mathematicians on your amazing channel.

@MuffinsAPlenty

7 жыл бұрын

I'm certain that he's quite busy, being the director of MSRI and all.

@MrAkashvj96

7 жыл бұрын

Haha fair enough. He is brilliant though.

Another banging video, Numberphile. I first encountered the conjecture in one of Ian Stewart's books, and I must say it must be the easiest to understand maths question that still can't be solved. I couldn't wait for you to do a vid on it. Great job.

Man, besides the math, that dude has really nice handwriting skills...

2 and 3 are only consecutive prime numbers. We can generate all numbers using two and there as basis. For rest of prime numbers minimum distance is 2 (twin primes) we can generate all even numbers minimum distance of 2 using twin primes as basis.

Me in the first seconds of the video: "Wow I should improve my English, I'm starting not to get some things..."

My God, I love this guy. The voice, the enthusiasm. It gets to me.

this conjecture helped me won the Qatar math quiz competition! Will never forget this as this changed my life!!!

@molkabenmarzouk6502

7 жыл бұрын

Akul Sharma Congrats! How exactly?

@johnox2226

7 жыл бұрын

Molka Ben It just did

@akulsharma3164

7 жыл бұрын

there was a question as to how many conjecture a student knows and how you derive it!

@catradummy_ytp

7 жыл бұрын

Martin Stu Ignoring the fact that for many centuries the Middle East was the center of the scientific world. (It isn't anymore, but still)

@treelight1707

7 жыл бұрын

Why are you using Arabic numerals until now butthead?

I've been waiting this video for a long time. I'm glad it finally came up.

his voice talking about math is the most relaxing thing

About time you guys make a video on Goldbach Conjecture. Enjoyed it. Thanks Numphile

Videos like these make me realize how minimally I use my brain on a daily basis. A small part of me wants to be a number theorist and really become a mathematician.

The way professor writes the letter q is so cute :D

@renatoherren4217

2 жыл бұрын

It may be even qute, the very highest form of cuteness. 😁😁

i think you need an extremely optimistic mindset to think "Euler couldn't do it, but i'll give it a try"... :D

@casacara

2 жыл бұрын

If it weren’t for those who tried to build on the shoulders of giants, we’d never get anywhere

@just_a_random_person9910

2 жыл бұрын

@@casacara true bro without our prediseser's rigourus maths we would ve no where

@MuffinsAPlenty

2 жыл бұрын

Euler was certainly a brilliant mathematician, but Euler had a tiny sliver of the mathematical machinery we have today. There are, undoubtedly, many problems Euler couldn't solve that undergraduate math majors today could solve. The difference between those problems and Goldbach's conjecture is that those other problems have already been solved by newer mathematical machinery, whereas Goldbach's conjecture has not. So I don't think it's incredibly optimistic to think that someone today could solve a problem that Euler couldn't. Any time a new mathematical idea or tool is developed, it could be the spark of inspiration or the missing piece to approach a solution. Eh, on second thought, I think the general sentiment I described in the above paragraph is rather optimistic after all :P

0:33 the subtle additions drifting away gave away the conjecture (and yes I glossed over the intro)

I always greatly enjoy Prof. Eisenbud's videos (still remember the Gauss - heptadodecahedron one, and specially, the proof of the Fundamental Theorem of Algebra...

Working from outer to inner numbers you have the top 4 with bottom 26 equals 30....24 plus 5 29, 6 plus 22 is 28....

I've been working on the Goldbach Conjecture for a little while now, and before I even watched this video, I had discovered or realized a lot of properties of numbers that I didn't know before, just through my own exploration of numbers. And it's startling how similar that triangle graph looks to something I was using (that I came up with totally independently) for a little while. And earlier today I happened to formulate a hypothesis which is basically Hardy and Littlewood's conjecture (any odd number is the sum of a prime and twice a prime). Kinda scary to see it in a video just hours after wondering about the problem myself.... Even though I may or may not be any closer to coming up with something (it's actually pretty hard to tell; so many ostensibly false leads), I still have found many interesting properties about numbers through my own research and logical exploration. Very fun project for a Numberphile :)

@MathematicsClasses7004

Жыл бұрын

Hi

Every even integer nn can be expressed as the point of intersection of two lines using linear functions: f(x)=2p1, f(y)=-0.5x-p2 where x

@grasianofau8771

Жыл бұрын

Incomplete proof

Thank you Prof. Eisenbud.

I would guess that 2 can't be written as the sum of 2 primes, since 1 isn't a prime, and I suspect 0 isn't a prime either. While some claim that -2 and -3 etc are also prime numbers, they are in general not considered primes. But if we exclude negative numbers as primes. Then 2 is an even number that can't be written as the sum of 2 primes.

@billyrussell7789

3 жыл бұрын

it’s the only even number that cannot be expressed as the sum of two primes and negative numbers are not as they have at least a third factor or -1 so they’re generally excluded

David has the most soothing voice on earth.

From this conjecture an intesting fact follows. For every n there exist prime p and q for which p-n = n-q....

I proved that any odd integer greater than 4 is the sum of a prime number and a positive even number. Now give me my fields medal !

@skhuksle

7 жыл бұрын

You can even set the prime number to three!

@Darker7

7 жыл бұрын

1 is not a prime, skhuksle :Ü™

@skhuksle

7 жыл бұрын

yep, and so what?

@ezioauditore4944

5 жыл бұрын

@@Darker7 Yes it is. One and two are both primes.

@alexanderjnaazeer

5 жыл бұрын

@@ezioauditore4944 1 is definitely not a prime...

Such a fascinating conjecture.

Goldbach's conjecture works because of the wildcard numbers 2 that go through every pair also the 5 that doubles itself 5.10.15.20.25...prime numbers are not doubled by the number 3 and 7 also perfect squares odd minus ending 5 example 3+3+3... to infinity and 7+7+7... to infinity and the perfect squares

For the prime + twice a prime, instead of writing it a+2b, write it (a+b) + c. If we prove that any even number can be written as a+b and we prove that any prime is an even + a prime, would that be proof that a+2b would be a way to write any number with primes a and b?

Wow 9:58-9:59 mins Brady your a beautiful human being

@phant0mknlght869

7 жыл бұрын

san kitty "You"re"

I like him. He reminds me of a professor I had in college for an intro proof class and then differential equations.

Your videos taught me more than university

Emil's Conjecture for (n) numberphile videos uploaded, at least 334.4 comments containing "first" will be posted during the first x*10 minutes

@johnvonhorn2942

7 жыл бұрын

if there are "n" firsts then how many of them will actually be not first? Let's call that The Kingbach conjecture.

@kendram90

7 жыл бұрын

Define x.

@Padarom

7 жыл бұрын

between n-1 and n.

@nelsonemerson6690

7 жыл бұрын

And for every Numberphile video posted about a conjecture there will be at least two comments that say "I have proved this conjecture, but the comments are too small to contain it."

@poissonsumac7922

7 жыл бұрын

Emil Macko Completely unrelated to math, but by any chance, are you the guy who created Five nights at Candy's?

That miscalculation 3:25 oh boi

@raquelalmeida9002

7 жыл бұрын

Egzolinas Gamer almost thoght i was the only one to ser it

@bb2fiddler

7 жыл бұрын

Well, to be fair he did SAY it right... He just followed the wrong line.

@davidb5205

7 жыл бұрын

Thank you! It was a simple mistake but it gave me such anxiety. lol

Anyone else notice that he puts the numbers of Goldbach’s birthday in a pair of primes?

As a German, i was wondering as I started the video and prof. Eisenbud started speaking German, but just a compliment for prof. Eisenbud: His pronounciation is quite good!

You do have a really relaxing voice...! :D

Since there is no certain way to find primes I'd say, Goldbach's conjecture is the closest to one. If you take a number significantly larger than the largest known prime, you should always find a prime bigger than the largest prime known.

@JohnSmith-nx7zj

Жыл бұрын

Goldbach’s conjecture isn’t of any use in finding large primes. If you take a googolplex it obviously can be written as (googolplex-97) + 97. It’s easy to show 97 is prime but there’s no easy way to show (googolplex-97) is prime.

Nice touch showing it for the numbers of his birth and death dates!

For easy visualization related to prime distro: GB - EVERY 'number' is the average of two primes.

7:00 - There could be a unique way: look for the pair of primes with the smallest possible prime, or find the pair of primes with the smallest difference.

How does a mathematician even work on a conjecture? Like where do you start?

@Lord_Hendy

7 жыл бұрын

With an idea at the pub where your mate says "you're full of crap" and so you spend weeks, months or even years to keep your dignity

@alephnull4044

7 жыл бұрын

I've wondered that too for a while. Apparently you need to start off by reading (booking up) all the relevant stuff that has been discovered already and the various methods that have been used/papers that have been published. Then you probably start by working on a smaller problem within one of the already established ideas. I don't think one would just immediately have a groundbreaking idea out of nowhere.

@Lord_Hendy

7 жыл бұрын

Beer is powerful

@timh.6872

7 жыл бұрын

JiaMing Lim , In my experience, throw things at the wall, see what sticks, read what other people have tried, try those yourself, read what people have tried for vaguely related problems, try those too. Repeat the above until something seems to not be there when it should, or be there when it shouldn't. That's the first grapple point. Keep working from that foothold until another is found, and just maybe, the climb proper can begin.

@eac-ox2ly

7 жыл бұрын

Notice a pattern. Check a lot of cases. Seems to be true? Done!

FINALLY YOU GUYS DID IT

For this problem, what will one need to show to serve as a solid proof?

is there any relation between discrete logarithm and integer factorization?

wow, Numberphile doesn't often do proofs like this, but this is a great, clear video on the application of Probability in Number Theory

I noticed something interesting with goldbachs conjecture if you take the combination of ways to make golbachs conjecture true for every single prime number above 4 youll see that it makes a pattern 1,2,2,1,2,2,1... or seems to could we prove this with induction to be true for goldbachs conjecture and then prove goldbachs conjecture.

Bonjour, Pour ceux que ça intéresse, je propose une résolution de la conjecture de Goldbach publiée sur KZread en 5 épisodes sous le titre générique "Variations Goldbach". Comme elle s'adresse à tout public, pour ceux qui veulent entrer directement dans le vif du sujet, une formule donnant la proportion minimale de couples de premiers au sein de l'ensemble des couples d'impairs dont la somme vaut un nombre pair se trouve épisode 2 et l'essence de la démonstration épisode 5. Le commentaire de J ci-dessous est tout à fait exact, mais en fait, il y en a beaucoup plus. Entre plus ou moins 10.000 et 16.000 le nombre de minimum de couples de premiers monte à environ racine carrée du nombre pair, et ça continue d'augmenter comme je le démontrerai dans l'épisode 6, qui clôturera cette série. Berendans

You missed 5+5...

Huge Thank you old man

Really nice video and video quality

His german is lit.

I wonder if anybody will ever prove the "Brady Conjecture": That Numberphile is the best channel on KZread :).

I love the way that this guy says the word "Billion". Sounds a little like Mr. Burns.

Goldbach's Conjecture is, in many ways, the arithmetic equivalent of Noether'sTheorem in Physics. It involves the conservation of bilateral symmetry as the numberline continuously translates permutatively into infinity. As the foundational level, the primes are the numbers whose distribution maintains this continuity. In an infinite space or line, every point is a potential midpoint. Midpoint is perpetually arbitrary, which is what makes the mathematics/geometrics universally applicable. (Mathematics as a Universal Language.) This means that the system is necessarily always in an evenly bisected state, i.e., a balanced state, no matter how continuously the system is bisected. There is a law that every integer has an additive inverse and distances are equivalent as measured from either equidistant endpoint to midpoint. In order for this to be universally true, the most foundational layers, i.e., the primes, must always maintain this same balance throughout and must therefore be positioned equidistant at each consecutive bisection as midpoint moves arbitrarily through the system. The system maintains balance through the primes as composites are stripped away. The distribution of the primes, and therefore basic Peano arithmetic, is thusly just like an infinitely successful Jenga Tower. Therefore, the strong Goldbach Conjecture is necessarily true simply as a matter of a design built upon the principle of maintaining perpetual system balance. When the mathematical purists finally admit to themselves that they only speak the common language of physics and engineering, perhaps they will see the simplicity of both the Goldbach and Riemann phenomena. Mathematics and Logic begin with the notion of a Standard Unit determined by the equivalence provided through actual or theoretical bisection of a space. The Goldbach Conjecture is Architectural Engineering 101 and is equivalent to the most primitive axioms of arithmetic.

An interesting thing is that this can sort of be extended: For every even number, there are two primes an equal magnitude from half of that even number, the sum of which is the original number. For example: 8/2=4, 3 and 5 are both 1 away from 4, and 3+5=8 76/2=38, 29 and 47 are 9 away, 29+47=76 88/2=44, 41 and 47 are 3 away, 41+47=88 1.I obviously can't prove this, or I would say it's more than "interesting" 2.I can't say I have put as much rigor into testing this as other people have with their theories... only up to around 100.

@unexpectedTrajectory

7 жыл бұрын

Halosty Yes, this boils down to: Every number greater than 1 has two primes equidistant from it. Given that the Goldbach conjecture has been tested extensively, this is also true as far as that's been tested. it's an interesting insight/way of restating the problem.

@malcolmbryant

6 жыл бұрын

I also got to the "all numbers have a pair of primes equidistant" stage and thought I was making great progress. Nearly 40 years later and I am no further on :(

@BlueGiant69202

5 жыл бұрын

Might that be due to the symmetry of adding two numbers, such as when Gauss summed the numbers from 1 to 100? Each prime is odd and either one more or one less than an even number. When you sum two primes, the difference from an even number is either 0, +2 or -2. So one gets into the definition of primes and multiplication by 2 in terms of addition.The density of primes is related to the increased number of possible permutations of primes created by adding 1 to the highest composite number formed by all of the previous primes. (2x2), (2x3), (2x5), (2^2 x 3),(2^4), (2x3^2).

Thanks. Never knew about this conjecture and it is pretty neato! Does this also apply to other divisors like 3, 4, 5, etc?

@digitig

4 жыл бұрын

If the divisor is even then it's just a special case of Goldbach's conjecture. Who knows - there might be some special case that's more readily provable than the general case, but I don't know of it. If the divisor is odd then it's false. Multiples of an odd number will include the cases where the multiplier is also odd, giving an odd result, so to be the sum of two primes one of the primes would have to be 2. Whatever your divisor, eventually the primes will get too far apart for all odd multiples of it to be two greater than a prime.

New Numberphile video with professor Eisenbud -> day made ■

Real treat for us germans that someone who is not a native speaker pronoumces the "ch" correctly. Nomally they will pronounce it like "k" but you did nicely.

I wanna see Numberphile sit a GCSE maths paper

*Sees video is 9 minutes and 58 seconds long* "Numberphile being edgy"

@valhar2000

7 жыл бұрын

+johnny dss What is the significance of this?

@TheLeporad

7 жыл бұрын

He lost a lot of money by not making the video 2 seconds longer.

@dbsllama6042

7 жыл бұрын

johnny dss they don't get paid extra for over 10 minutes anymore now btw

i just think that FOR 2m=p+q, 0

I also love Goldbach conjecture.. Assuming distinct primes are possible, which i guess is the case for even number greater that 8, we can prove that any prime is an average of two other primes. From that Bertrand postulate will follow..Not sure if any prime is average of two other primes is a valid theorem, but interesting that a valid theorem ( Bertrand Postulate) comes out of it.

I have an elegant proof for Goldbach Conjecture but I’m suffering from lack of space in the comment section

I love how taboo it is to try to discover a solution :P

I know people who like math are the rare ones, but watching this not being excited and thrilled, they are the ones missing out so much in life.

I live for this show

I have learned more maths from Numberphile than school.

I bet James Grime works on this in secret and laughs maniacally whenever he makes progress!

appalus für deine worte. Mein herz geht auf wenn du lehren.

The sound of the marker on the paper gives me shivers.

oh wow german has changed since this has been written

@moatl6945

7 жыл бұрын

Half the German sentence is actually in Latin - so it's almost not understandable for Germans as well. ;)

@tysonprice5058

6 жыл бұрын

"sey"

@Tasarran

2 жыл бұрын

The picture was of Euler, are you sure it wasn't Dutch?

Jaaa! Deutsch... Endlich verstehe ich etwas...! :D

@unvergebeneid

7 жыл бұрын

Dann ist dein Latein aber auch nicht von schlechten Eltern!

@moatl6945

7 жыл бұрын

Was hab' ich gerade gelacht... :)

@jumpander

7 жыл бұрын

Und mein Chinesisch? und mein Japanisch...? 中國話也很好。 俺の英語も大好きですか？ sry... Autismus... :I

@gonzalomorislara8858

7 жыл бұрын

dein Japanisch, keine Ahnung, aber dein Chinesisch sieht als es von Google Translator genommen wäre aus ( auf Deutsch du hast gesagt:" Chinesisch er (ist) sehr gut" (Zhongguó yi ta hen háo) )

@Andriak2

7 жыл бұрын

何ですか。私の日本語はちさいです。

one of the most important video of numberphile

Numberphile is so cool. Which math channel has so much content that something as big as the Goldberg Conjecture gets its video after so many years?

And this, guys, is the voice you get after a life of shouting on poor students...

@TykoBrian7

4 жыл бұрын

So you know him personally?

This taboo about working on the conjecture seems to work against moving towards a proof. This realization seems obvious. So I keep treating the conjecture like that?

I love the shade he threw at Brasy

The CC at the beginning says "(Speaking Latin)", but the main part of the text is German. The fact that the technical terms are Latin borrowings doesn't alter the underlying basic language.