Terence Tao on Prime Numbers 

Could listen to him explain math all day.

"I don't even know everything going on" - fear strikes the crowd

Terence Tao is the greatest living Mathematician.

5:04 when you thought Terence will talk about something too complex and advanced(y I hesitated playing this vid) yet end up listening about basic number theory.

I'm glad youtube offers the option to slow down 0.75x

Had to read that over a couple of times

He’s simply the best mathematician

I love this man

I'm clearly missing and important piece of information. It seems like we can generate new largest primes by just multiplying all of the prime numbers up to the largest then adding one. Or is that outside of current computational abilities?

What a cool guy!

GREATEST OF MATH TAO

It took me an hour to understand what a prime number is.

I only watched the prime number parts of the video starting at 0:02

video after terence tao teaching something: *this is abc fora* me: *nobody cares*

You can find interesting facts and puzzles about Prime Numbers and Magic Squares, Smith Numbers, and Arithmetic and Palindromic Primes on Glenn Westmore's blog.

Fun drinking game, take a shot every time he says "umm"...

Proof. Suppose there’re finite number of primes, Multiply them all plus 1=p. Clearly, none of those primes divides p since none divides 1. Now, we have an p that’s not a product of any prime and bigger than 1, by definition itself must be a prime, yet p is not within that total prime list we assumed. Hence, it’s a contradiction, and the original statement “there’s only this finite number of primes” must be wrong, and primes must be infinite.

Interesting guy

Where can i find this complete video

the disposition of the prime quarantined double but only in half will get you £=¥ giving you the smallest gap of 264

Time is prime, because "in-form-ation", the timed measurement of motion with motion (vectors) mechanism, is the principle of connection at specific ratios, causing a tangential difference of "ratio-n-al-ity", "everything all at once" instantaneous alignment in the:- zero to infinity, now in eternity, divided interval of relative ratios of fluid change. It gives the appearance of identity in space, "something in nothing", materializeation spectrum of relative time-timing duration history. Ie it's the Quantum Mechanism Universe, in plain language.

Is it just me or does Terence Tao sounds a lot like Jimmy Valmer from South Park?

Mr math himself explains some math

I don't understood why he frequently placed his hand on his chin

Terence tao personality is kind of like anish giri

Isn’t this the PHD kid?

Pov: you're here after tibees

He is the Bruce Lee of Math

putin is watcing , nobody can reach his level, even if you learn from him for years, this is gift.

A great mathematician can be gauged by his inability to make eye contact. This guy is a boss.

3:55 I didn't know that Euclid was attending Terence's lecture.

Tao is a very good communicator. Modest, fluent, responsive, considered, honest, and humorous. Very good person, a great scholar and a gentleman to the core...

Terence Tao is a top mathematician; the mathematics of 21st century will be remembered with his name. I've read his PhD thesis. Normally, a PhD thesis must be about 170 pages but his was roughly 40 pages and accepted. He's a genius harmonic analyst, which let him prove, along with Ben Green, that any residue class of any modulus has infinitely many primes. Also, he's a chief editor of one of the journals of the AMS. Oh, by the way, his annual worth is 463 000 $.

How about optimus prime that came to invade our world

Surprisingly insightful. I could follow him quite easily and I'm not a mathematician.

Terence Tao defenitely needs a beard

"It takes a while to get used to this type of argument." -- says the guy who understood it at the age of 4.

he speaks so fast like his brain also thinks like that fast.. Cool!

Euclid was a real genius.

"prove something is true by proving that it is not false" So obvious, yet so useful

I don't mind him being my maths teacher.. he's just so passionate

He's like roger federer of math

He is Bruce Lee of math

its an honor to even be learning from him on youtube

Yeah, Could listen him all day! His comprehensive expression of mathematics is very beautiful plus useful.

3:04 the most excellent reasoning.

if Terence Tao is a rapper, Eminem would be the pizza delivery dude while Nicki Minaj would be working in McDonald's

Hello. Equasions are already there?=YES= We only discover them? We do not make the Maths? But Maths is Behind Every last thing?=YES So. How does the big Bang Make the maths?=It does not. How does the big Bang Make a Uniform universe?=It does? The Maths are in the Big Bang Or Bangs ,how can this be? = If we are discovering them. Who left them for us to Discover? Nope. i Cannot owrk this one out? mathematicians can you work that one out for me Please???

I understood Everything But also understand Nothing. It's kind of odd.

"This is abc fora" hits me like a sleep twitch.

He wouldn't mind saving me from IP class and doing my homework would he?

I read Simon Singh's "The Simpsons and Their Mathematical Secrets" which mentioned this exact proof, but I find it odd that he didn't mention one thing. There are two parts of Euclid's discovery. The first is what Tao mentioned which is that if you multiplied all the primes and add 1 it could result in another prime that wasn't part of the original set. You know it wasn't part of the original set because it is much bigger than all of the numbers in the set (for example 31 is much larger than 2, 3, and 5 since you're multiplying them to produce a new number). LONG STORY SHORT: Tao mentioned the first part of the theorem. What he missed was also amazing. Euclid said that if the number produced by multiplying all the numbers in the set and add one to produce a COMPOSITE number (i.e. not a prime number), then you can come up with even more primes. Let's say you have the set 2, 3, 5, 7, 11, and 13. If you multiply them and add 1, you get 30031. That is a composite number meaning it has factors besides 1 and itself. It turns out its other factors are 59 and 509, which are 2 new primes that were not included in the set. Why does this always produce new prime numbers? If you try to divide 30031 by any of the numbers in our set 2, 3, 5, 7, 11 and 13, then the remainder will always be 1 (which makes sense). Therefore, if a composite number is formed by multiplying all the primes and adding 1, it will always produce at least 2 new primes. I see that a lot of the comments are either saying that Tao's fast talking/stuttering is due to his fast mind or that they didn't understand anything, so I don't think this comment really belongs here. Respect the man's content.

if he touches his chin one more fucking time

Seems like English hinders his intelligence. He should invent an advanced language that allows him to deliver bigger chunks of info quicker

he is agenius with iq 230 it is totally normal for him to speak like that

It's fascinating to hear that Euclid was "rejecting the null hypothesis" so long ago. This is a fundamental tool in science even today.

This is the only video of him where I understood his lecture just because he talked about basic of real numbers also in a beautiful way

Why is it that very smart people focus on math, physics, and epistemology. Are there any really smart people focusing on the "good life" or politics?

But (2 x 3 x 5 x 7 x 11 x 13 x 17) + 1 is not prime because You can divide it by 19

Prime numbers are the anti chamber of nuclear physics and the studies of neutrino. But the non state mathematics dépend on the energy stratification of level analytics of the sub elements. If you level the crossroads energy of an atom and you don't take in consideration these principles then the researchers theorist cannot and will not be able to ascertain in mathematics the new theories in this challenging fields. Just like on a road with red lights if you don't know where are the red lights to guide your drive then you will not able too drive safely then your application of mathematical research will be a blind useless essay with no conclusive results. You have to understand a physical phenomena in vision before you can implement a strategy foundation of its mathematics core.

He says a lot of "hamm"... a genius, but must learn how to speak. By the way, as a mathematician and a man of great culture Yuri Manin is the guy.

Nope... not going to abc.anything. Bye.... I'll get my Terence Tao somewhere else, thank you.

Answer to Riemann The answer to the Riemann Hypothesis is Infinity. Infinity times infinity equals infinity to the power of infinity. Infinity squared equals infinity to the power of infinity. If 2 is a prime then so is infinity. You are all welcome. All numbers are comprised of Primes but not all numbers are comprised of non-Primes. Primes make up the building blocks of infinity. They are telling the other numbers what to do. People are looking at numbers and infinity incorrectly. Infinity is Prime so case closed on the Hypothesis.

Learned about this guy doing research for my math history project (I’m a math major) literally yesterday. This guy is awesome

i was lost from 0:05 to 5:29 .. the rest i understood

This man seems to have the most itchy chin in the world ...

From the description: "To view the full talk visit [broken link]" Any chance this will be fixed?

Asians are smart

I wonder if Terence is able to calculate as fast if not faster than Ramanujam.. coz both of them are masters in number theory

Full talk somewhere? Link in description doesn't work.

I have no idea what he is talking about, but I continue to watch anyway.

Terence Tao is one of the most smartest people in the world and yet still gets nervous talking to the audience.

What I wonder is why do we consider natural numbers as the product of primes instead of the sum of 1s? For example, instead of considering 8 as 2 x 2 x 2, why don't we consider it as 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 instead? By doing it this way, there would be no need for prime numbers, a sum of 1s is all we would need. Just a thought btw, because to me it seems that the rule "only divisible by 1 and itself and not equal to 1" is arbitrary.

Mr tao is my inspiration and indeed my fav mathematician,I listen to him very much

I feel uncomfortable when math is done with power point rather a chalkboard lol

aww poor number 1 got demoted by mathematician's :'(

This feels like a primer to primes for elementary schoolers not college students and professors.

Rất thông minh. 🦄😚😑😑😐🎏🎏🙂🦄☺️😚☺️😐😚☺️😍😑🎁😍😑🎁🤗🤗🐯

Un brasileño reveló el secreto de los números primos, con mi respeto a todos los aquí presentes, ¿qué impacto tendría decir que algunos números no son primos? y los primos gemelos no existen? con dos fórmulas estándar dentro de una progresión aritmética (PA). dos; 19; 41; 59; 61; 79; 101; 139; 179; 181; 199; 239; 241; 281; 359; 401; 419; 421; 439; 461; 479; 499; 521; 541; 599; 601; 619; 641; 659; 661; 701; 719; 739; 761; 821; 839; 859; 881; 919; 941; 1019; 1021; 1039; 1061; 1181; 1201; 1259; 1279; 1301; 1319; 1321; 1361; 1381; 1399; 1439; 1459; 1481; 1499; 1559; 1579; 1601; 1619; 1621; 1699; 1721; 1741; 1759; 1801; 1861; 1879; 1901; 1979; En mi concepto, un número para ser primo tiene que ser factorizado sólo con el número primo en sí, de menor a mayor, y de mayor a menor, por lo que será considerado un número primo... como sancioné una ley que siempre debe ser respetado... .por lo que solo habrá un divisor para cada número primo factorizado... por lo tanto solo será divisible por el número primo mismo... sin comprometer la seguridad de un número cifrado, pero será seguridad sin fronteras, quiero decir: un escudo que nunca se romperá en la era actual...Sr. Sidney Silva, autor de algunas tesis científicas en el campo de las Matemáticas...un descubrimiento único y majestuoso...un descubrimiento impactante e intrigante. .. √2; √3; √4; √5; √6; √7; √8; √9; √10; √11,√12, √877, √350734139, ¿es igual al enigmático número de Pi, con 02 fórmulas increíbles?

May peace and blessings be upon our master Muhammad, may God bless him and grant him peace 🌺🌺 Read Surat Al-Mulk every night because it prevents the torment of the grave, as it only takes 6 minutes of time 🌺🌺 Read Surat Al-Kahf on Friday so that God may make you a light between the two Fridays 🤲 Oh God, forgive me and all the believing men and women, living among them and the dead (God writes for you billions of good deeds when you call for forgiveness for the believers, the living and the dead among them!!!! Glory be to God and praise be to Him! Glory be to God the Great) Glory be to God and praise be to Him (a hundred times so that God may forgive you all your sins as if they were like sea foam, it only takes 2 minutes) ⬅️ There is no god but God alone, without partner, to Him belongs the kingdom and to Him belongs praise and He is over all things powerful (100 times so that God writes for you the reward of those who freed 10 slaves “free 10 slaves” + 100 good deeds and a good deed is ten times greater if = 1000 good deed + 100 bad deeds will be erased for you + you will be protected from the accursed Satan until you become ⬅️ There is neither might nor power except with Allah, the Most High, the Great Glory be to God and praise be to Him, Glory be to God the Great ⬅️ Oh God, bless Muhammad and the family of Muhammad as you prayed to Ibrahim and the family of Abraham that you are praiseworthy and glorious and bless Muhammad and the family of Muhammad as you blessed Ibrahim and the family of Abraham that you are praiseworthy and glorious 🌟⭐ ⬅️ Glory be to God and praise be to him the number of his creation and the satisfaction of himself and the weight of his throne and the ink of his words if you say them as if you remember God Almighty hours ago!!! Glory be to God, the Great, the Generous, the Forgiving, the Merciful 💠💠 If you want to complete Surat Al-Baqarah daily, then read 10 pages after each obligatory prayer, you will complete it, God willing. 💠💠 Recite Ayat al-Kursi after every obligatory prayer so that you will enter Paradise 🌿🌿🌿 The indicative of goodness is as the one who does it (be sure to publish what a person is being paid for, so that you will have a reward for doing that and so on, and nothing is missing from that!!! 🌿🌿

I didn't understand the proof of the theorem that there are infinite numbers of primes, because you took as an example {2, 3, 5} set and then said that 2*3*5 + 1 = 31 is prime => the initial assumption that there are finite number of primes is wrong. But we took here {2, 3, 5} as an example and that 31 is prime and which contradicts our assumption just means that {2, 3, 5} is NOT the finite set (if it exists). So, maybe {2, 3, 5, p1...pk} is that set.

I am a Number Theorician. I've just received my PhD.

The title makes it sound like prime numbers are drugs for Terence Tao Sounds about right

I have no idea how I got here, but this is my third video in a row of him I've watched; and I'm beyond intrigued! What a beautiful mind.

prime numbers pure elements

This man is from another planet. Plain and simple.

I’ve now got an itchy chin.

5:01 Woman on the upper left with the FAAAT yawn. LOL. Awesome video though, Terence Tao is an amazing mathematician

Wish Ramanujan's work got recognised similarly.

The only other place I’ve heard the reduction to absurdity fallacy is in philosophy. Maybe these two fields are less different than I thought

I also like to stroke my non-existent beard.

After watching this i can confidently say that I'm really stupid

This guy and Dr James Maynard intonate the same when they say the word "Prime" .

Watch the magic of Tegonometrical Ratios in thus Video:-ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-dK6bDFSsM1I.html

Whoa, I get Euclid's proof now! That remainder of 1 is the key!

I saw 2 things in Paris. ET and Rodin Museum. This was very interesting.

He's talking faster than how Eminem raps

Let’s find more twin primes in a methodic way : ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-4DoIpOk88q8.html

Giỏi 🎁😐🐈😐🐈🐕☺️🐯🐈🐯🐯🐖🐖😚🐖😄🐖🐖🐖🎋🐖🐖

Great lecture but he could bulk up a bit and improve his delivery skills.