I remember when I was a kid, probably in 8th grade. I was obsessed with the Goldbach Conjecture because I thought I found a solution to it. Then I wrote an email to Eddie Woo Sir. And to my surprise, he wrote back. pointing out a stupid error in my calculations. That was the most magical moment of my childhood
Thanks for having me on again :-) And hey Veritasium fans: Sorry I messed up the numbers while getting emotional about Ramanujan. Here's the right version of the story, quoted from Robert Kanigel's book on Ramanujan: " [Hardy] would contrive an informal scale of natural mathematical ability on which he assigned himself a 25 and Littlewood a 30. To David Hilbert, the most eminent mathematician of the day, he assigned an 80. To Ramanujan he gave 100.” ― Robert Kanigel, The Man Who Knew Infinity: A Life of the Genius Ramanujan
I understand the getting choked up. I work extremely hard to try to understand "simple math". When I see someone who makes hard things look so easy to them, it's like looking at a magician. It's magic!
I'm from Ukraine and I love to do math during an air raid. If you're in a underground shelter and relatively safe it really doesn't help to sit and worry. Math and headphones keep me engaged and distract from things going on outside really well😊 When I was at my final year of school two years ago, we had almost all of our math lessons in the basement. And it felt really inspiring that we keep learning math together no matter what)
From this video, I got the most out of the last 3 minutes. "Discovery is the goal." Working together on the process of Discovery does help Humanity... even if that discovery is pointless to Humanity.
I normally like to watch these cause I understand enough to make myself feel like I might be passably smart. This was 42 minutes of sitting there slack jawed and blinking slowly.
I never cease to be amazed that mathematicians hundreds of years ago could visualize things that normal people just cannot see without a computer simulation showing them what it is that the equations are telling them. My research (engineering not math) involved modeling of electromagnetic fields to predict charged particle motion and without computers I would have got nowhere. My supervisor could just look at the equations and "see" it straight away! His ability to simply strip away 90% of a complicated problem because he understood that it was irrelevant, leaving something even I could solve, was awesome.
Because they only had to go on is reality and its practicality they were more hand on than we do now, they had less to go on with and solve things so they had to be efficient and creative, they forced to if they wanted to reach success. They had a life more simpler and more straightforward and more pre-determined, all of this made them in sense more level headed, more matured, they meditated on life and its twist and turns that resulted in this.
Good point. People seem dumber today with too much assistance from rare geniuses, feeling "smarter" just because they can use gadgets they'd never build. Frankly, the math in this video lost me around the spoked wheel section.
@@DefundTheFringes without said "gadgets," we wouldn't be as advanced as we are. they are tools; as such, it is the accountability of the user, not of the tools. as many people you think are now dumber is as many now more intelligent, creative, and efficient from these resources.
and it's sad because euler wouldn't exist with today's tools that sort of deep fascination only comes when you are extremely bored and there's just way too much to do currently
@@Kronyx-k3rEuler didn’t need video games in the era he was in like he wouldn’t need them in the modern era like this is not a question of cultural nerd-ism u have it is the question on the quality of mathematics and the influence he has over modern mathematics and he holds up
For anyone who isnt already a math nerd, the part where Derek guesses Leonhard Euler (said "oil-er") is a little funny moment, because Euler shows up nearly everywhere in math. There is a joke that many things in math are named after the first person to discover them after Euler. There is a shockingly long wikipedia article entitled "List of topics named after Leonhard Euler." Hopefully at least one person reading this wasn't already aware of this "maths inside joke."
I still have the book “The Goldbach Conjecture” by Xu Chi, awarded to me in 1978 as a winner of high school mathematics competition in China. The book contains several articles, one of which is “The Goldbach Conjecture”, which told the story of Chen Jingrun. It described mathematics as the most elegant and beautiful thing in the world, the most worthy of pursuit, and described Chen as a hero and almost a saint. It made the deepest impression on me and probably on my whole generation. I became a mathematician, and even proposed my own conjecture (on the Stokes equations). It was a delight to see this video. Thank you so much! It’s amazing that there are already over a million views.
I just finished a master's degree in mechanical engineering with my thesis relating to Computational Fluid Dynamics and even I, didn't even hear the name 'Stokes' until I studied CFD and discovered how many simulation models include the Navier-Stokes governing equations.
I am a Chinese and grew up in China's education system. To most students, Chen's story was sometimes used as a counter example as how one can be so into math so he became delusional. One commonly referred story is that he bought a truck load of cup noodle to eat everyday just to solve this. But I was lucky enough to have a highschool math teacher that is very passionate about such topics and he lightened us with this story like 15 years ago. I feel really grateful for that. This video just reminds me of all those things and yeah, it is such a great video. Thank you Veritasium.
The explanation of the circle method was one of the most beautiful explanations I have seen on RUclips. This is quickly becoming my favourite maths channel, even while maths isn't your focus! Great work
I can’t remember how often OG Veritasium did this, but weaving historical and military events throughout these stories has enriched an already rich channel.
"We don't know what's necessarily important, but we do know what we love" is a great way to explain why it's important to chase different problems at different angles and in many different fields and not focus on their concrete real world applications. It might lead to those real world applications, or maybe not, we don't know, but passion drives us to arrive at results, whatever they might be, and results allow us to progress as a whole.
"Dont work on what you think is important, but work on what you love. because you will work with passion and that will lead you to do great things." what a quote
@@nimrod06 > talent is way more significant than passion. nope. You can be very good at something, but not do it. Whereas if you're not good at something, and do it a lot, you'll get better than the person with talent who doesn't bother doing anything. If you have talent and passion, then of course you'll be one of the best
Recently I found out that Einstein’s special relativity is completely different on what’s taught at universities and that lots of false informations are being spread (even from seemingly professional physicists). In a book by Einstein, it’s said that the law of constancy of the velocity of light is justifiably believed by the child at school, but that doesn’t make any sense as clearly such postulate wasn’t taught at school. Other parts in the book suggest that Einstein’s constancy principle was much simpler than what we think. In the same book, it’s also said that his two postulates were made compatible thanks to an analysis of space and time. This means that Einstein concluded that time is relative before using the postulates rather than the other way around, this is clear in a chapter called: “The Relativity of Simultaneity”, in which, without using the postulates he concludes that two events might be simultaneous for an observer and not be for another one. I’d like it if you made a video about it to explain how he concluded the relativity of simultaneity without using any postulate. The book’s name is: “Relativity: The Special and General Theory”, it is available as a free pdf online.
@@nimrod06 If I remember correctly I heard this concept in the context of finding a job that suits you, where you should do something that is important, where you have passion and talent. if all of them align, then there is alot of potential for it to be fulfilling and easy, while being able to earn a decent amount.
i used to think that solving pointless, impractical math conjectures and problems are a waste of time, but when i watched this video, i realized that a lot of the methods and techniques that people invented to solve their pointless and impractical math conjectures are the same ones we use to solve the important and practical problems today
This is the concept of exploration vs exploitation. Exploitation is an activity that focuses on harvesting as much known resources as possible. It is efficient in getting you want you want. Solving what you believe to be important falls under this category. But resources run out. So some of the time you should focus on exploration as well. It is an activity that tries to charter unknown terrain with uncertain payoff. Most of the time you score nothing. Occasionally you hit the jackpot. It seems risky but without exploration, there will not be big scientific breakthrough that shapes modernity.
The GPS system relies on imaginary numbers and data encryption relies on huge prime numbers. So yeah, what might look like useless mathematics can be very useful to the world (often without people seeing it, or needing to understand it).
And sometimes things can unexpectedly become important and practical, like how public-key cryptography suddenly gave enormous importance to a chunk of number theory (and later also algebraic geometry)
for me, a stronger argument for solving "difficult and irrelevant" problems is that they often yield to completely novel methods of prooving (like the circle method) that in turn can be applied to other problems. basically tackeling a extremely hard problem brings tools to live that are helpful also for other problems.
Agree, "irrelevant" is just a temporary label due to the current state of the art. Prime numbers themselves were considered just a curiosity, while today they are the foundation block for cryprography, and in turn the internet.
A lot of math people were doing 100 years ago was criticised as being unimportant but we discovered later that it gaves us CRUCIAL tools to tackle more advanced physics. We don't know what's important at the time
Haven't watched the video yet, but I suspect it will be about prime numbers. Prime numbers have been especially important around protein folding and electron structures. There is no way people 100 or even 50 years ago would have been able to predict how prime numbers can support our understanding in protein structured and proteins
I have heard multiple times that defense for pure mathematics, however it doesn't follow that eventually every mathematical development will become important, I think more effective approaches could be that it's necessary to have an army of miners in order to allow few ones to get the diamonds (knowing that some diamonds are not easy to predict where they will be), or that important stuff in math usually connect with a lot of different areas so picking any thread and following is likely that eventually will lead to something important (....and well known math areas are usually already very explored so if you do math in those areas you are more likely to be doing something that someone else already did).
This is why research funding being based off of you being able to give explicit defined profits and benefits arising from the research is madness. That might do well for industrial chemistry or biotech, but not for mathematics. For another example, who would have guessed that Euler just exploring a common game of the locals of Konigsberg after Sunday Mass, would prove so critical for the Internet to even work centuries later.
@@luisoncpp I see your point but with some caution. At the end of the day, we really don't know when something will become "important". The nature of pure mathematics is to better understand how numbers related to each other, even if there is no express utility in our lifetime or even ever. It's why a formal proof for 1+1=2 exists and it took hundreds of pages to show that A very good example is how Calculus was developed. Although credit is often given to Leibniz and Newton, the foundation stems from the works of dozens (if not hundreds) of mathematicians and papers before them. Part of what led to Calculus being developed and formalized was trying to square a circle. I think everyone can agree that Calculus was absolutely transformative for nearly every field. On the surface though, who cares if we try to square a circle? It started off as a thought exercise/curiosity to see if a square can have the same area as a circle...a geometry problem driven by the curiosity of the ancient Greeks (as far as we can tell at least from historical texts). Even though it was "explored" work and by the time pi was defined as a transcendental number in the 1800s, most mathematicians believed it was an impossible problem by then or a waste of time. It took over 1000 years for this concept to be 100% proven. The concept of a transcendental number is important (to put simply...there are numbers out there that NO algebraic formula can calculate - indicating our current understanding of math is limited and there could be other realms of math we have not yet explored; another example is "e" - euler's constant). One impossible curiosity turned into generations of work and exploration. Having watched most of this video, yeah, who cares if we prove two or three prime numbers can add up to every other odd and even number? It might be true, it might not be. What's arguably more important than the conjecture is the work that goes into proving/disproving this conjecture and we may not have any idea what that will lead to in 1000 years edit: context and spelling
This is actually crazy. I was just working on my mathematics uni homework where we were looking at this problem. I opened RUclips to get a break and was assaulted with this amazing video. 10/10
Und ich habe gerade heute Nacchilfe zur theoretischen Informatik gegeben, wir haben uns eine Aufgabe angeschaut "Angenommen es gäbe einen Algorithmus, der das Halteproblem lösen könnte, wie könnten Sie ihn dann benutzen, um die Goldbachsche Vermutung zu beweisen oder zu wiederlegen?". Und ich habe den Leuten erklärt, worum es bei der Golbachschen Vermutung eigentlich geht. Und eine Stunde später veröffentlicht Veritasium dieses Video. Welch ein Zufall, verrückt!! Derek liest einfach unsere Gedanken, lol😅
Me: yeah I noticed it was changed 🤔. Wasn’t it something obvious like 5 = 2 + 3 on the earlier thumbnail? Veritasium: I think therefore I shall change the thumbnail
Recently I found out that Einstein’s special relativity is completely different on what’s taught at universities and that lots of false informations are being spread (even from seemingly professional physicists). In a book by Einstein, it’s said that the law of constancy of the velocity of light is justifiably believed by the child at school, but that doesn’t make any sense as clearly such postulate wasn’t taught at school. Other parts in the book suggest that Einstein’s constancy principle was much simpler than what we think. In the same book, it’s also said that his two postulates were made compatible thanks to an analysis of space and time. This means that Einstein concluded that time is relative before using the postulates rather than the other way around, this is clear in a chapter called: “The Relativity of Simultaneity”, in which, without using the postulates he concludes that two events might be simultaneous for an observer and not be for another one. I’d like it if you made a video about it to explain how he concluded the relativity of simultaneity without using any postulate. The book’s name is: “Relativity: The Special and General Theory”, it is available as a free pdf online.
"We don't know what's necessarily important, but we do know what we love. So work on that." - Steven Strogatz, Professor of mathematics, Cornel Univecity As a teacher, his last sentence hits me really hard.
Albert Einstein seemed to be well-tuned-in to the Zeitgeist of the quantum and atomic world of Physics starting to emerge. He knew what was important. He also knew that he *HAD TO* and *DID* acquire the mathematical knowledge and skills sufficient for his adventures in Physics. He had the motivation coming from a vexing problem he was interested in and loved to solve to study Mathematics earnestly.
The circle method that Hardy and Ramanujan developed is so intriguing to me. I couldn't imagine ever thinking along that direction. It shows the intellectual prowess of both of them.
It's just an iterative search function for integers converted to polar coordinates. Most people don't find polar coordinates to be intuitive, but then again, most people aren't mathematicians.
Everytime I learn about the Ramanujan's theorems be it the asymptote theorem of partitions or the tau function , it's the stories behind them that give me the chills !.
One of the things I love so much about Veritasium’s videos is how engaging they are. I have a problem where I zone out after sometime when watching something, but it almost never happens with these videos.
Story if Chen Jingrun breaks my heart. Thinking how much he had to suffer, and then seeing how much the whole world held him up as a hero for his struggles, memorating him really made me tear up. I just imagined how much his struggles were thanked by the whole world, like a huge "Sorry" that humanity expressed. Wow.
I love how this is one video where all the world's greatest mathematicians are featured. I was so happy to see some of the professors from your previous videos as well!!
"People should do what fires them up because if you do that you'll be passionate. You'll think about it all the time, you'll do it when you're in the shower, you'll think about it when your driving... And you might do something remarkable because of that passion. If you do something because you think its important, i think you'll tend to be second rate, honestly." Brought me to tears. Why is it akwaus Veritasium that strikes me with these philosophies?
@@golden_rod oh no, I wrote my comment after seeing 2n = a + b. No irony or anything, I really don’t like “3 + 5 OMG NO ONE COULD SOLVE THIS” type of clickbait and I was thankful for an actual unsolvable equation on the thumbnail.
Whenever this channel drops a new math or physics video, I click play knowing full well I’ll be confused in 10 seconds - but that’s the beauty of it. It shows me how much I don’t know... and that's what motivates to learn more about this stuff.
I recently stumpbled upon a footnote in a 6th grade students mathbook in Germany roughly translated to: "This is known as the Goldbach Conjecture, which was proven a few years ago"
That's A/B testing mate. RUclipsrs, businesses, FMCG companies have adopted such means to test their audience and what attracts them to come about the perfect thumbnail(in this case) so that they can maximize the amount of clicks and hence get larger amounts of revenue
I know it's a weird comment to make but I'm sitting here right now at 2am in the morning and I hear air raid sirens outside AND in your video and it's really eerie. Greetings from UA :)
All your maths videos, Documenting them for them to live permanently online for so many to continuously reference is an absolute GIFT. What this channel continuously provides are endless GIFTS to humanity, FOR FREE. It’s SO HARD to successfully convey mathematical concepts in such a digestible way for anyone to consume; yet you guys pump video after video out in a way anyone can understand; and include a compelling history and human stories to these that make it more relatable. It takes an incredibly hardworking talented team full of geniuses to be able pull this off with such regularity. I often teach to my younger colleagues to pass knowledge down and it’s DIFFICULT for me to convey concepts that come to me inherently after decades of study and practice. What you guys do are truly special. THANK YOU SO MUCH.
The screenwriting and direction on top of on point visualization, editing, AND animation is absolute gem. And to provide this for "free" (or rather, paywall-free) is really going to help young viewers anywhere in the world.
Two of my favorite channels have collaborated. I love the new storytelling I've been seeing in your videos for the last year, and it's always reminded me of Ferns' videos.
After just hearing what the Conjecture is and thinking about it for like 5 seconds, I figure that until we can find a pattern to primes, and unless (but even if) there come to be many multiple options to get particularly large numbers, there's no guarantee of finding a sum of two primes that'd add to get every even number. The limiting factor is the gaps between primes. The disproof would be perfectly misaligned gaps along the length of the number line 0
The fact that I watched this entire video hoping to understand... I won't lie I'm still clueless but I still love your videos Veritasium! Your channel makes me really love learning
Don’t worry you’re not clueless it’s a question that has exactly 0 real world applications. Just let a computer run even numbers for as long as it takes to either find a counter example or admit it’s correct since it’s blatantly obvious it’s correct
Не знаю китайский, но Гугл неплохо с ним справляется, and I can English pretty good. Но, всё, на что способен мой мозг заскорузлого мемлорда при виде перевода, который выдал мне Гугл, это примерно следующее: 🗣️🔥🔥🔥
1:54 When he said "your favorite number" at first I thought 37... then he said 42 and I thought oh, makes sense, and then i laughed out loud to see = 37 + 5. 😂 jad to get a 37 somewhere in there didn't you
I feel like one of the main problems with any proof involving primes is that each prime is a unique case by definition. There is no concise pattern that they all follow, even if there are some tendencies they do have.
Considering they are famous in other areas of Math (the Hardy-Littlewood maximal function is super important in analysis) I was shocked when I learned they were bigger deals in number theory.
I lived in Xiamen and you can see the Kinmen islands from the beach. There are huge signs on Kinmen that can be read from China, they say "Three Principles of the People unite China". Pretty cool to see that area referenced at the start!
I’ve been on the opposite side of this. The coast of Xiamen is entirely visible from the northern beaches of Jinmen (Kinmen is the older designation). Weird fact - as the stalemate between the ROC and PRC dragged on, the shelling from both sides that continued for decades settled onto a weird schedule. I don’t remember exactly how it worked, but it was like Monday-Wednesday-Friday was the ROC’s turn to shell and then Tuesday-Thursday-Saturday was the PRC’s turn. Scrap metal from exploded shells was a cheap and plentiful source of carbon steel in Jinmen, so the island developed a weird cottage industry of making high-quality kitchen and butcher’s knives.
There's a story that goes like this. The Kinmen county government starts receiving several mysterious calls from the mainland. They're naturally suspicious, so they notify the local RoC Army garrison and the island goes on high alert. They gather a bunch of military big wigs in the room while the phone rings for upteenth time, then finally pick it up. The voice on the other side says: "This is the Xiamen Tourism Bureau. Your sign is faded, please repaint it."
The algorithm selects the thumbnail based on the sum of its pixel codes divided by the number of views since the video was posted minus that week's rainfall in Death Valley measured in Sieverts. Simples.
Ramanujan is clear definition of "talent not respected.". Being such a great mathematician he is, so much so that at his death bed, he still thought about mathematics, world did not know. Only Hardy did.
Thank you for the opportunity to collab 😊
Fantastic video!
ooo
Hello ai voice guy
Jungs ich bin so happy, ihr habt es von einem deutschen/niederländischen Kanal zu einer Collab mit Veritasium geschafft!!! Lets go!
Thank you for being apart of it, looking forward for the video on Ramanujan!
hmmmmmm
I remember when I was a kid, probably in 8th grade. I was obsessed with the Goldbach Conjecture because I thought I found a solution to it. Then I wrote an email to Eddie Woo Sir. And to my surprise, he wrote back. pointing out a stupid error in my calculations. That was the most magical moment of my childhood
lol like a massive fail lmaoooo
@@hgdrkuiat least they tried. What have you been up to? 😃
@@hgdrkuiwhat’s with the toxicity? At least he tried
@@hgdrkui People like you are the reason why people become more and more introverted. Just sharing their story and a brat started a damn war
That's incredible lol. Amazing story!
Thanks for having me on again :-) And hey Veritasium fans: Sorry I messed up the numbers while getting emotional about Ramanujan. Here's the right version of the story, quoted from Robert Kanigel's book on Ramanujan: " [Hardy] would contrive an informal scale of natural mathematical ability on which he assigned himself a 25 and Littlewood a 30. To David Hilbert, the most eminent mathematician of the day, he assigned an 80. To Ramanujan he gave 100.”
― Robert Kanigel, The Man Who Knew Infinity: A Life of the Genius Ramanujan
👍
You got me emotional, it is lovely to see a scientist so sensitive and attached to someone intellectually..
It was really touching and I loved watching you explain it. Thank you!
I understand the getting choked up. I work extremely hard to try to understand "simple math". When I see someone who makes hard things look so easy to them, it's like looking at a magician. It's magic!
@@RobertoMasciullo-v4d Thanks!
Goldbach: Every even number >2 is the sum of two primes. RUclips: Every 2 minutes is the sum of two ads.
vro cooked and we ate, and we solved world hunger
Silly people. RUclips doesn't have ads...
If you watch on a browser with ublock origin lite installed.
😭
An ad started while I was reading this comment. It's ridiculous.
Just treat yourself to a Prime membership. Woosh! No more adds!
"Proof?"
"It was revealed to me in a dream."
Ramanujan was just built different.
Damn is 😂🎉
Source: trust me bro
"... and I forgot it in another dream"
i forget the dream revelations when i wake up, for a few seconds it's clear and logical then it banishes never to be understood again....
"write the formula on his tongue" is like a proverb in India meaning the goddess spoke through him - not to be taken literally.
Did the God redeem it?
@ciaverifiedbadge4355why so racist lmao 😂 mad asf
@@Salt____ Because that place frankly isn't worth the only good person to have come from it.
@@wurfyy"the only good person" get better at ragebait buddy 😂
@wulfyy I’m sure you serve a great purpose in life as a walking durex ad.
You know you’re looking at the next mathematician of the century when you see a guy reading a math textbook during an air raid
nice
I'm from Ukraine and I love to do math during an air raid. If you're in a underground shelter and relatively safe it really doesn't help to sit and worry. Math and headphones keep me engaged and distract from things going on outside really well😊
When I was at my final year of school two years ago, we had almost all of our math lessons in the basement. And it felt really inspiring that we keep learning math together no matter what)
@@ОляКульчицька-к5ь You're amazing, come on
@@ОляКульчицька-к5ь That's unbelievably incredible, you're an inspiration my friend. Slava Ukraini!
Wrong observation
my toxic trait is convincing myself I comprehend anything in this video
From this video, I got the most out of the last 3 minutes. "Discovery is the goal." Working together on the process of Discovery does help Humanity... even if that discovery is pointless to Humanity.
Same lol
I normally like to watch these cause I understand enough to make myself feel like I might be passably smart.
This was 42 minutes of sitting there slack jawed and blinking slowly.
@@LomTong😂
Do not revel in toxicity or ignorance.
I never cease to be amazed that mathematicians hundreds of years ago could visualize things that normal people just cannot see without a computer simulation showing them what it is that the equations are telling them. My research (engineering not math) involved modeling of electromagnetic fields to predict charged particle motion and without computers I would have got nowhere. My supervisor could just look at the equations and "see" it straight away! His ability to simply strip away 90% of a complicated problem because he understood that it was irrelevant, leaving something even I could solve, was awesome.
Because they only had to go on is reality and its practicality they were more hand on than we do now, they had less to go on with and solve things so they had to be efficient and creative, they forced to if they wanted to reach success. They had a life more simpler and more straightforward and more pre-determined, all of this made them in sense more level headed, more matured, they meditated on life and its twist and turns that resulted in this.
Good point. People seem dumber today with too much assistance from rare geniuses, feeling "smarter" just because they can use gadgets they'd never build. Frankly, the math in this video lost me around the spoked wheel section.
@@DefundTheFringes without said "gadgets," we wouldn't be as advanced as we are. they are tools; as such, it is the accountability of the user, not of the tools. as many people you think are now dumber is as many now more intelligent, creative, and efficient from these resources.
Tesla could close his eyes, build and modify complex inventions
You're a book worm, not a genius, that's why 😂
any math thing from the 18th century: Euler shows up
genuinely terrified to think what Euler could have done with todays tools
Many of those tools wouldn't exist today if he hadn't been around back then!
and it's sad because euler wouldn't exist with today's tools
that sort of deep fascination only comes when you are extremely bored and there's just way too much to do currently
@@Kronyx-k3r he could survive with today’s math like what is this comment?
@@josenoesantiago9175 he has been doing math since he was a kid right?
if he had videogames he probably wouldn't think as much or as hard of math
@@Kronyx-k3rEuler didn’t need video games in the era he was in like he wouldn’t need them in the modern era like this is not a question of cultural nerd-ism u have it is the question on the quality of mathematics and the influence he has over modern mathematics and he holds up
For anyone who isnt already a math nerd, the part where Derek guesses Leonhard Euler (said "oil-er") is a little funny moment, because Euler shows up nearly everywhere in math. There is a joke that many things in math are named after the first person to discover them after Euler. There is a shockingly long wikipedia article entitled "List of topics named after Leonhard Euler."
Hopefully at least one person reading this wasn't already aware of this "maths inside joke."
The Matt Turk of math
Interesting, thanks.
Likely most people, that's why it's an "inside" joke
I wasn't, so thanks for sharing. I should learn a bit more about this legendary mathematician.
I wasn't! Thank you!
I still have the book “The Goldbach Conjecture” by Xu Chi, awarded to me in 1978 as a winner of high school mathematics competition in China. The book contains several articles, one of which is “The Goldbach Conjecture”, which told the story of Chen Jingrun. It described mathematics as the most elegant and beautiful thing in the world, the most worthy of pursuit, and described Chen as a hero and almost a saint. It made the deepest impression on me and probably on my whole generation. I became a mathematician, and even proposed my own conjecture (on the Stokes equations). It was a delight to see this video. Thank you so much! It’s amazing that there are already over a million views.
I just finished a master's degree in mechanical engineering with my thesis relating to Computational Fluid Dynamics and even I, didn't even hear the name 'Stokes' until I studied CFD and discovered how many simulation models include the Navier-Stokes governing equations.
Hi! I'm genuinely curious: did this book (and apparently movies etc.) about Chen Jingrun cover his treatment during the revolution?
worked on the mathematical theory of fluid dynamics. @@noonenoesbutme I
The whole society just came out of the cultural revolution and there was a lot exposure and reflections on it. @@WatchingTokyoYes.
Veratasium is just a gift. Bringing this incredible knowledge to so many people.
I am a Chinese and grew up in China's education system. To most students, Chen's story was sometimes used as a counter example as how one can be so into math so he became delusional. One commonly referred story is that he bought a truck load of cup noodle to eat everyday just to solve this. But I was lucky enough to have a highschool math teacher that is very passionate about such topics and he lightened us with this story like 15 years ago. I feel really grateful for that. This video just reminds me of all those things and yeah, it is such a great video. Thank you Veritasium.
Cup noodle made him delusional, not math. No nutrition!
We must be from parallel timelines, because that’s nothing like how it was taught to me.
Do you know Wei Dongyi?
@@ihadkonwnitearlier4956yeah heard about it before
@@dayoonman3264that’s what I thought too, but it’s kinda weird to think that he so smart but he doesn’t know how to basically take care of himself
14:08 Hardy casually gives mathematicians power levels like anime characters.
Dragonball LMAO
That might be the other way around
It's over 7.3 factorial.
Glad that Hardy rated him 9.333×10¹⁵⁷/100.
Its over 9000! ... except that isn't a mere exclamation mark, but a factorial.
The explanation of the circle method was one of the most beautiful explanations I have seen on RUclips. This is quickly becoming my favourite maths channel, even while maths isn't your focus! Great work
Euler is everywhere in math it’s like the guy invented math.
Repacked it for modern audiences, perhaps. They were doing math in India 4000 years ago.
He’s the lube
@@andrew3203 but they werent doing the kind of stuff he was. he's in every branch of math, at the highest levels
@@matthewhemphill3968 Source?
You don’t just get to say something like that and not provide any evidence.
Standing on the shoulders of giants
14:23 in the footnote, Hardy rates him a 100 factorial. Well, Ramanujan deserves it.
They thought we wouldn't notice, but we are people who watch math in our free time😂
Yes Gilbert was an 80 and ramanujan was a 100
Rated himself 10. I'm negative on that scale.
@@fallagainstmorellet i dont even exist on that scale
@@Johnwick-dy6ju The scale does not exist for me
I can’t remember how often OG Veritasium did this, but weaving historical and military events throughout these stories has enriched an already rich channel.
"We don't know what's necessarily important, but we do know what we love" is a great way to explain why it's important to chase different problems at different angles and in many different fields and not focus on their concrete real world applications. It might lead to those real world applications, or maybe not, we don't know, but passion drives us to arrive at results, whatever they might be, and results allow us to progress as a whole.
"Dont work on what you think is important, but work on what you love. because you will work with passion and that will lead you to do great things." what a quote
Well, there are three dimensions. Talent, passion, and importance. While importance does be an illusion, talent is way more significant than passion.
@@nimrod06this English phrase, while grammatically correct, doesn't make any sense
@@nimrod06 > talent is way more significant than passion.
nope. You can be very good at something, but not do it. Whereas if you're not good at something, and do it a lot, you'll get better than the person with talent who doesn't bother doing anything. If you have talent and passion, then of course you'll be one of the best
Recently I found out that Einstein’s special relativity is completely different on what’s taught at universities and that lots of false informations are being spread (even from seemingly professional physicists).
In a book by Einstein, it’s said that the law of constancy of the velocity of light is justifiably believed by the child at school, but that doesn’t make any sense as clearly such postulate wasn’t taught at school. Other parts in the book suggest that Einstein’s constancy principle was much simpler than what we think. In the same book, it’s also said that his two postulates were made compatible thanks to an analysis of space and time. This means that Einstein concluded that time is relative before using the postulates rather than the other way around, this is clear in a chapter called: “The Relativity of Simultaneity”, in which, without using the postulates he concludes that two events might be simultaneous for an observer and not be for another one.
I’d like it if you made a video about it to explain how he concluded the relativity of simultaneity without using any postulate. The book’s name is: “Relativity: The Special and General Theory”, it is available as a free pdf online.
@@nimrod06 If I remember correctly I heard this concept in the context of finding a job that suits you, where you should do something that is important, where you have passion and talent. if all of them align, then there is alot of potential for it to be fulfilling and easy, while being able to earn a decent amount.
i used to think that solving pointless, impractical math conjectures and problems are a waste of time, but when i watched this video, i realized that a lot of the methods and techniques that people invented to solve their pointless and impractical math conjectures are the same ones we use to solve the important and practical problems today
This is the concept of exploration vs exploitation. Exploitation is an activity that focuses on harvesting as much known resources as possible. It is efficient in getting you want you want. Solving what you believe to be important falls under this category. But resources run out. So some of the time you should focus on exploration as well. It is an activity that tries to charter unknown terrain with uncertain payoff. Most of the time you score nothing. Occasionally you hit the jackpot. It seems risky but without exploration, there will not be big scientific breakthrough that shapes modernity.
Every job is a waste of time. You are literally selling your time for numbers in a bank.
The GPS system relies on imaginary numbers and data encryption relies on huge prime numbers. So yeah, what might look like useless mathematics can be very useful to the world (often without people seeing it, or needing to understand it).
And sometimes things can unexpectedly become important and practical, like how public-key cryptography suddenly gave enormous importance to a chunk of number theory (and later also algebraic geometry)
@@GodplayGamerZululthen why live
for me, a stronger argument for solving "difficult and irrelevant" problems is that they often yield to completely novel methods of prooving (like the circle method) that in turn can be applied to other problems. basically tackeling a extremely hard problem brings tools to live that are helpful also for other problems.
Agree, there is no irrelevant problem. It might be only irrelevant until now
proving*
tackling*
Agree, "irrelevant" is just a temporary label due to the current state of the art. Prime numbers themselves were considered just a curiosity, while today they are the foundation block for cryprography, and in turn the internet.
I just asked what’s the implication of proof but I like your thought here.
Also, something that's regarded as nothing more than a curiosity could wind up being crucial to something else, like Imaginary Numbers.
How often do you want to change the thumbnail and title?
Veritasium: *Yes*
A lot of math people were doing 100 years ago was criticised as being unimportant but we discovered later that it gaves us CRUCIAL tools to tackle more advanced physics. We don't know what's important at the time
So what you're saying is Terrence Howard is the greatest mathematical mind in history?
Haven't watched the video yet, but I suspect it will be about prime numbers. Prime numbers have been especially important around protein folding and electron structures.
There is no way people 100 or even 50 years ago would have been able to predict how prime numbers can support our understanding in protein structured and proteins
I have heard multiple times that defense for pure mathematics, however it doesn't follow that eventually every mathematical development will become important, I think more effective approaches could be that it's necessary to have an army of miners in order to allow few ones to get the diamonds (knowing that some diamonds are not easy to predict where they will be), or that important stuff in math usually connect with a lot of different areas so picking any thread and following is likely that eventually will lead to something important (....and well known math areas are usually already very explored so if you do math in those areas you are more likely to be doing something that someone else already did).
This is why research funding being based off of you being able to give explicit defined profits and benefits arising from the research is madness. That might do well for industrial chemistry or biotech, but not for mathematics.
For another example, who would have guessed that Euler just exploring a common game of the locals of Konigsberg after Sunday Mass, would prove so critical for the Internet to even work centuries later.
@@luisoncpp I see your point but with some caution. At the end of the day, we really don't know when something will become "important". The nature of pure mathematics is to better understand how numbers related to each other, even if there is no express utility in our lifetime or even ever. It's why a formal proof for 1+1=2 exists and it took hundreds of pages to show that
A very good example is how Calculus was developed. Although credit is often given to Leibniz and Newton, the foundation stems from the works of dozens (if not hundreds) of mathematicians and papers before them. Part of what led to Calculus being developed and formalized was trying to square a circle. I think everyone can agree that Calculus was absolutely transformative for nearly every field.
On the surface though, who cares if we try to square a circle? It started off as a thought exercise/curiosity to see if a square can have the same area as a circle...a geometry problem driven by the curiosity of the ancient Greeks (as far as we can tell at least from historical texts). Even though it was "explored" work and by the time pi was defined as a transcendental number in the 1800s, most mathematicians believed it was an impossible problem by then or a waste of time. It took over 1000 years for this concept to be 100% proven.
The concept of a transcendental number is important (to put simply...there are numbers out there that NO algebraic formula can calculate - indicating our current understanding of math is limited and there could be other realms of math we have not yet explored; another example is "e" - euler's constant).
One impossible curiosity turned into generations of work and exploration.
Having watched most of this video, yeah, who cares if we prove two or three prime numbers can add up to every other odd and even number? It might be true, it might not be. What's arguably more important than the conjecture is the work that goes into proving/disproving this conjecture and we may not have any idea what that will lead to in 1000 years
edit: context and spelling
The true question: How many times will the thumbnail change?
or the title.
Seriously!! The title and thumbnail have changed at least 3 times already!
@@carinfotainment4220and so?
damn i was saving this vid for later but I have to click it or I won't remember what it is 😂
@@carinfotainment4220on a real note it helps get views which he does need
You lost me at n/(ln n)². I'm never going to be a mathematician.
29:31 I'm from Peru and I remember when they announced he proofed the weak conjecture, he was like a rockstar amongst scholars here
He just went ahead and titled it ”The Ternary Goldbach Conjecture Is True” like a true gangsta
@@WaffleAbuser honestly how more scientific/mathematics papers should be called.
I really think rock stars should be compared to mathematicians instead of the other way around. "Freddie Mercury really is the Euler of rock singers."
@@jacoa.imthorn8113I like this. And Jimi Hendrix is Galois, the trailblazer who died way too young
@@vez3834 math papers usually have very descriptive names. it's just unusual to have a math paper which proves (or disproves) a well known conjecture
When a guy is chill enough to read a math textbook during a raid, he is prolly the next messi of mathematics
yet, his country didn't want him alive during the Mao regime
French mathematician did the same during the 1940 invasion. Can’t remember his name, he was killed but not before his work had been saved.
bro just don't
Violent governments are always trying to kill mathematicians.
Correct
This is actually crazy. I was just working on my mathematics uni homework where we were looking at this problem. I opened RUclips to get a break and was assaulted with this amazing video. 10/10
Same, haha
Und ich habe gerade heute Nacchilfe zur theoretischen Informatik gegeben, wir haben uns eine Aufgabe angeschaut "Angenommen es gäbe einen Algorithmus, der das Halteproblem lösen könnte, wie könnten Sie ihn dann benutzen, um die Goldbachsche Vermutung zu beweisen oder zu wiederlegen?". Und ich habe den Leuten erklärt, worum es bei der Golbachschen Vermutung eigentlich geht. Und eine Stunde später veröffentlicht Veritasium dieses Video. Welch ein Zufall, verrückt!! Derek liest einfach unsere Gedanken, lol😅
Chimani lässt grüßen
Mathmatics is trying to tell you something, my friend...
I hope the video did not break your brain.
Ah yes a cool math video *clicks*
"In Xiamen, China, in the winter of 1954, air raid sirens are sounded all over the city"
It's complete eye candy watching the mathematical explanations with the dark background and glowing math. It's very relaxing
Reminds me of the original Khan Academy videos
you should like 3blue1brown then
Veritasium x Fern collab is crazy
❤
❤❤❤
😢😢😢😢
😢😢😢
😢😢😢😢😢😢😢
How many times do you want to change video's thumbnail?
Veritasium: Yes
the worst thing is that it's super clickbaity inside
and this theme is probably one of the most useless for the humanity
@@ДенисДенисович-р9е so?
God I hate it when they do this. It's so annoying.
Me: yeah I noticed it was changed 🤔. Wasn’t it something obvious like 5 = 2 + 3 on the earlier thumbnail?
Veritasium: I think therefore I shall change the thumbnail
This new thumbnail is like "Tip of an Iceberg"😂😂😂😂
I love how so many videos go back to that Hilbert conference. We need a whole video on that conference alone.
but is always because he listed them, what other link? i think Euler is more a common term.
Recently I found out that Einstein’s special relativity is completely different on what’s taught at universities and that lots of false informations are being spread (even from seemingly professional physicists).
In a book by Einstein, it’s said that the law of constancy of the velocity of light is justifiably believed by the child at school, but that doesn’t make any sense as clearly such postulate wasn’t taught at school. Other parts in the book suggest that Einstein’s constancy principle was much simpler than what we think. In the same book, it’s also said that his two postulates were made compatible thanks to an analysis of space and time. This means that Einstein concluded that time is relative before using the postulates rather than the other way around, this is clear in a chapter called: “The Relativity of Simultaneity”, in which, without using the postulates he concludes that two events might be simultaneous for an observer and not be for another one.
I’d like it if you made a video about it to explain how he concluded the relativity of simultaneity without using any postulate. The book’s name is: “Relativity: The Special and General Theory”, it is available as a free pdf online.
"We don't know what's necessarily important, but we do know what we love.
So work on that."
- Steven Strogatz, Professor of mathematics, Cornel Univecity
As a teacher, his last sentence hits me really hard.
Yes, that was such a nice ending and is so true in many parts of life. Truly words to live by.
Albert Einstein seemed to be well-tuned-in to the Zeitgeist of the quantum and atomic world of Physics starting to emerge. He knew what was important. He also knew that he *HAD TO* and *DID* acquire the mathematical knowledge and skills sufficient for his adventures in Physics.
He had the motivation coming from a vexing problem he was interested in and loved to solve to study Mathematics earnestly.
work on your passions bro
The circle method that Hardy and Ramanujan developed is so intriguing to me. I couldn't imagine ever thinking along that direction. It shows the intellectual prowess of both of them.
It depends on the perspective. Are you aquainted with residue theory and the Euler function? They make the way more natural.
@@raphaelreichmannrolim25 I did learn about those a long time ago, will revisit and see how it connects, thanks 🙂
It's just an iterative search function for integers converted to polar coordinates. Most people don't find polar coordinates to be intuitive, but then again, most people aren't mathematicians.
It sounds a lot like a Fourier analysis which is a pretty common technique. I wonder if they were inspired by that.
This is the sort of thing we will someday ask aliens about and they'll be like 'we were hoping you guys figured that out'.
Everytime I learn about the Ramanujan's theorems be it the asymptote theorem of partitions or the tau function , it's the stories behind them that give me the chills !.
I’m sure it does mr jeet
@ciaverifiedbadge4355 why so sour lad , is is that time of the month again
jeet means to win
@ciaverifiedbadge4355 they have internet at the trailer park now?
@ciaverifiedbadge4355 whats with you guys seething everywhere ?
One of the things I love so much about Veritasium’s videos is how engaging they are. I have a problem where I zone out after sometime when watching something, but it almost never happens with these videos.
Story if Chen Jingrun breaks my heart. Thinking how much he had to suffer, and then seeing how much the whole world held him up as a hero for his struggles, memorating him really made me tear up. I just imagined how much his struggles were thanked by the whole world, like a huge "Sorry" that humanity expressed. Wow.
And this all happens in usa right now. Banning books, women have no human rights, religious nuts ruling over everything
Truly blessed to know these stories of heroes of science. Humanity still survived, in different parts of the world.
So many lives ruined by the cultural revolution. Beware of the leader who clings on to power at all costs.
Just one of many ladting tragedies brought to us by the horrors of communism.😢
@@ryancormack6934 it may well be happening in the US right now.
On screen it says: "Hardy actually rated Ramanujan 100!" after saying the scale only is 1-100. He was truly off the chart it seems
I love how this is one video where all the world's greatest mathematicians are featured. I was so happy to see some of the professors from your previous videos as well!!
"People should do what fires them up because if you do that you'll be passionate. You'll think about it all the time, you'll do it when you're in the shower, you'll think about it when your driving... And you might do something remarkable because of that passion. If you do something because you think its important, i think you'll tend to be second rate, honestly." Brought me to tears. Why is it akwaus Veritasium that strikes me with these philosophies?
Strogatz is such a wonderful writer. I recommend reading his books, maybe "Infinite Powers". He's such an inspiration
Ok, finally an unsolvable problem on the thumbnail itself.
there are two thumbnails, one says "3 + 5" and the other says "2n = a + b", which one are you talking about lmao
@@golden_rodobviously 3 + 5 how could you solve that hard of a problem
@@air_ballonyeah but i genuinely can't tell if that's the joke they were trying to make or not
@@golden_rod oh no, I wrote my comment after seeing 2n = a + b. No irony or anything, I really don’t like “3 + 5 OMG NO ONE COULD SOLVE THIS” type of clickbait and I was thankful for an actual unsolvable equation on the thumbnail.
I mean, 2n=a+b is solvable, there's just an infinite number of possible solutions.
You know the greatest mathematician of the century is about to appear when you see him reading a math book in the middle of an air raid 💀
Whenever this channel drops a new math or physics video, I click play knowing full well I’ll be confused in 10 seconds - but that’s the beauty of it. It shows me how much I don’t know... and that's what motivates to learn more about this stuff.
Not just you. Very useful channel for those of us trying to keep up out of our comfort zones.
Same here.
14:56 forgot this wasnt a fern vid for a second lol
Wait for the title and the thumbnail to change 10x in the next 3 days
It's A/B testing - or in this case A/B/C/D/E...
Enjoy monitoring a youtube thumbnail
Gotta squeeze out every half cent from the algorithm
@@stuiesmb Half cent? No its thousands of dollars..
@@oldoddjobs Yeah that comment is sad. Who cares? The video stays the same and free for that guy. These guys (Veritasium) gotta make a living too.
8:42 I thought it was April Fools video when he mentioned those names 😂
I recently stumpbled upon a footnote in a 6th grade students mathbook in Germany roughly translated to: "This is known as the Goldbach Conjecture, which was proven a few years ago"
I imagine that footnote is referring to the Weak Goldbach Conjecture, which has been proven.
I found a note I left for myself years ago. Wild times man
Was it written just after "This book is the property of the Half Brained Prince"?
Don't worry, they're just future-proofing the textbook so they don't have to rewrite it in a few years.
Can't wait to see what the thumbnail will be in 4 hours from now
Now 3 hours from now
Omg 0 secs ago
That’s your own comment mate
That's A/B testing mate. RUclipsrs, businesses, FMCG companies have adopted such means to test their audience and what attracts them to come about the perfect thumbnail(in this case) so that they can maximize the amount of clicks and hence get larger amounts of revenue
can't wait for derek's social credit reduction
Imagine one of the computers manually checking even numbers just finds a counterexample tomorrow and all this is for naught
"Sorry guys, I had a cosmic ray bit flip"
A dude with a beard advertises a shaving tool....
Next up: A fish talks about marathon running.
my physics lecturer says: "If someone says that something is obvious, they don't really know what they're talking about"
Smoking a joint and then trying to understand a Veritasium video is my fav hobby
16:52 Old MacDonald had a function...
GENIOUS JOKE BAHAHA
Welp I'm sharing that with my research team. But might I suggest turning it into e^(i(pi/2 + theta))? e^(i) *e^(i*theta)
Hahahahahaha
e, i, e, i, zero😁
Br0 That's Genius 🫡
omg that segue to razors in the end made me cracking 🤣
I absolutely love it when this channel does math videos; they're always such a delight :)
I know it's a weird comment to make but I'm sitting here right now at 2am in the morning and I hear air raid sirens outside AND in your video and it's really eerie. Greetings from UA :)
Oh that's fun. Hoping everything is okay :(
I hope this video will inspire you to read math during the air raids.
All your maths videos, Documenting them for them to live permanently online for so many to continuously reference is an absolute GIFT. What this channel continuously provides are endless GIFTS to humanity, FOR FREE.
It’s SO HARD to successfully convey mathematical concepts in such a digestible way for anyone to consume; yet you guys pump video after video out in a way anyone can understand; and include a compelling history and human stories to these that make it more relatable.
It takes an incredibly hardworking talented team full of geniuses to be able pull this off with such regularity. I often teach to my younger colleagues to pass knowledge down and it’s DIFFICULT for me to convey concepts that come to me inherently after decades of study and practice. What you guys do are truly special.
THANK YOU SO MUCH.
The screenwriting and direction on top of on point visualization, editing, AND animation is absolute gem. And to provide this for "free" (or rather, paywall-free) is really going to help young viewers anywhere in the world.
Two of my favorite channels have collaborated. I love the new storytelling I've been seeing in your videos for the last year, and it's always reminded me of Ferns' videos.
There is a movie called "the man who knew infinity" about Ramanujan's life 14:55
Yes. It’s based on the book.
The production quality with the animation and storytelling increasing every video is amazing to watch
Makes me so interested in the topics
Fern collab wtffff 11:46
I think this is a Deutscher Channel, translated in English
@the-maddriverja, das ist Simplicissimus
Science: How much funding can we get to prove unprovable conjecture?
Algorithms: Yes.
23:42 this was some of the coolest graphing models I’ve seen, beautifully demonstrated 🎉
Nothing makes me want to devote my life to mathematics more than a Veritasium video… incredible
13:25 he was aurafarming with this one bro holy 😭
His name is Rama new gen. -1000 aura
After just hearing what the Conjecture is and thinking about it for like 5 seconds, I figure that until we can find a pattern to primes, and unless (but even if) there come to be many multiple options to get particularly large numbers, there's no guarantee of finding a sum of two primes that'd add to get every even number. The limiting factor is the gaps between primes. The disproof would be perfectly misaligned gaps along the length of the number line 0
The fact that I watched this entire video hoping to understand... I won't lie I'm still clueless but I still love your videos Veritasium! Your channel makes me really love learning
Other channels must be so envious this guy can make a video most people don't understand and still get 1M+ views.
You're not learning if you're still clueless...
Don’t worry you’re not clueless it’s a question that has exactly 0 real world applications. Just let a computer run even numbers for as long as it takes to either find a counter example or admit it’s correct since it’s blatantly obvious it’s correct
@dptenk1407 what an odd thing to say
12:53
Hardy: Source?
Ramanujan: It came to me in a dream.
same had with nikola tesla dude
It's too big to fit in the margin
5 bots in the few top comments is crazy.
I hope you're paying royalties to Numberphile for writing with a marker on large sheets of paper. 😉
The real conjecture: how Veritasium makes math feel like a conspiracy theory you want to believe in.
在喧嚣纷扰的网络世界里，你的视频就像一片静谧的森林，有风，有光，有细节，也有故事。你用温柔的镜头和细腻的表达，把生活拍成了一首诗。每次看完你的视频，都会让我重新相信，平凡的日子也可以被过得那么温柔、那么有意义。
你像一个故事的讲述者，又像一个生活的诗人，在不动声色之间，把一切普通的、琐碎的瞬间都变成了值得被珍藏的回忆。你不是在记录日常，而是在唤醒我们对美的感知，对生活的热情。这种感染力，是很多人都渴望拥有的，也正是你最独特的魅力。
愿你在创作的道路上始终保持纯粹，愿你不被流量裹挟，也不被趋势左右，只做自己喜欢的内容，过自己喜欢的生活。希望你被更多人看见，也始终被温柔以待。星辰为你点灯，风也为你引路。你值得这世界上所有的美好。请继续发光，哪怕微小，也是光。
In google translation to English, your words already sound poetic.
Pretty sure it’s highly poetic in Chinese
Не знаю китайский, но Гугл неплохо с ним справляется, and I can English pretty good.
Но, всё, на что способен мой мозг заскорузлого мемлорда при виде перевода, который выдал мне Гугл, это примерно следующее:
🗣️🔥🔥🔥
Pela tradução do Google pra português, soa muito poético, bela combinação de palavras.
Thank you for your beautiful comment!!!
thank you for these wise words, MukbangASMR_Wang 😍😍
1:54 When he said "your favorite number" at first I thought 37... then he said 42 and I thought oh, makes sense, and then i laughed out loud to see = 37 + 5. 😂 jad to get a 37 somewhere in there didn't you
Lmao same
People here are silently keeping the like count to 37, I suppose
I was about to like this comment, only to find it had 42 likes, so I won't.
37 is not even.
@@__christopher__
"37 is not even" ~ __christopher__ , 2025
I would award you a fields medal if I could, unfortuantely I'm just a rando
I feel like one of the main problems with any proof involving primes is that each prime is a unique case by definition. There is no concise pattern that they all follow, even if there are some tendencies they do have.
How much thumbnails do you want ?
Derek : yes
Ramanujan mentioned, we must get hyped
21:02 I lost the plot here
Bro "I'm not good at math, but when it comes to counting money in my wallet, I'm a pro."😂
"Reading pages from.... (suspense)... a math book" Pulitzer nominee right there that is
“Hardy” and “Littlewood” collabing is just comedy im sorry 😂😂
There's something called the Hardy-Littlewood-Wiener theorem. (Google it with quotes)
Considering they are famous in other areas of Math (the Hardy-Littlewood maximal function is super important in analysis) I was shocked when I learned they were bigger deals in number theory.
0:44 scout from tf2??
“THINK FAST-“
Boink!
hey doc a little help here
Fr
Scout respawned one too many times and doesn’t look the same
These conjectures are going to whittle away all of my spare time haha
I lived in Xiamen and you can see the Kinmen islands from the beach. There are huge signs on Kinmen that can be read from China, they say "Three Principles of the People unite China".
Pretty cool to see that area referenced at the start!
I’ve been on the opposite side of this. The coast of Xiamen is entirely visible from the northern beaches of Jinmen (Kinmen is the older designation).
Weird fact - as the stalemate between the ROC and PRC dragged on, the shelling from both sides that continued for decades settled onto a weird schedule. I don’t remember exactly how it worked, but it was like Monday-Wednesday-Friday was the ROC’s turn to shell and then Tuesday-Thursday-Saturday was the PRC’s turn. Scrap metal from exploded shells was a cheap and plentiful source of carbon steel in Jinmen, so the island developed a weird cottage industry of making high-quality kitchen and butcher’s knives.
There's a story that goes like this. The Kinmen county government starts receiving several mysterious calls from the mainland. They're naturally suspicious, so they notify the local RoC Army garrison and the island goes on high alert. They gather a bunch of military big wigs in the room while the phone rings for upteenth time, then finally pick it up. The voice on the other side says: "This is the Xiamen Tourism Bureau. Your sign is faded, please repaint it."
@@CloudZ1116😂 I’ve heard this story a few times from different sources. I still have no idea if it’s true or apocryphal, but I so want it to be true
@@CloudZ1116 I've also heard this, but I think it's apocryphal.
I wait until all the thumbnail variations are done before I watch the video.
So lame how they have compromised quality for clickbait .
It’s ai slop right now
@@butterfliesinmybrain it isn't AI?? this is the style that veritasium has been using for a while now
4:21 Newton was a great personality but no one matches leonhard euler in mathematics.
Gauss & Archimedes are the only two that come to mind that can even approach his genius.
Came here for this exact comment
@@johndavid1611 still they're not even close to Ramanujan
@@johndavid1611 there are plenty
wouldn't be absolutely convict of the last part, but saying Newton is the greatest in maths ever is simply laughable
Thanks!
Thank you!
11:25 fern!?
The collab we all didn’t know we needed!
I was shook when I heard that name drop!
Ruined the video. I'm done with this channel
@@brian8507 cringe
@@brian8507ragebaiter 😂🫵
I wrote my master thesis on the Bombieri-Vinogradov theorem 10 years ago now. Thanks for dragging me back into this lovely world!
What job did you get with it?
@@enoyna1001 My academic career ended there, and I am now a data scientist.
@@Mats-Hansenthanks
I am sure this brings back memories of happiness and peace 😊
I sure cant wait to be a college student!
@@mistysparrowhawk oh boy the fresher energy ,I feel you
I swear RUclips continually recommends me this video just so I can see the thumbnail changing
Fr
Mr breast thought Derek about thumbnails
The algorithm selects the thumbnail based on the sum of its pixel codes divided by the number of views since the video was posted minus that week's rainfall in Death Valley measured in Sieverts. Simples.
"We don't know what's necessarily important, but we do know what we love. So... work on that." Marvelous quote!!
I have discovered a truly marvelous proof of this, which this margin is too narrow to contain
That's how you mathematical geniuses resemble failing businesses: the margins are too small.
Just wanted to inform you: a bot has copied your comment word-for-word.
19:35 My eyes died at this moment😢
even ramanujan couldnt solve the veritasium thumbnail conjecture
Everytime I lock in - I get an ad?! 😂
Ramanujan is clear definition of "talent not respected.". Being such a great mathematician he is, so much so that at his death bed, he still thought about mathematics, world did not know. Only Hardy did.
this dedication to mathematics is also commonly referred to as "autism"
proof? it was revealed to me in a dream
@alessandroboccalatte8120 he was a genius but couldn't express it
@alessandroboccalatte8120 Which is a huge treasure. He died way to early for us to discover a new humane way to work on mathematics from him.
Yep.
A video on ramanujan not focusing on his struggles and life journey rather his mathematical journey and the theorems that are still remain unsolved.❤