The Riemann Hypothesis, Explained

  • Am Vor 6 Monate

    Quanta MagazineQuanta Magazine

    The Riemann hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjecture has maintained the status of the "Holy Grail" of mathematics. In fact, the person who solves it will win a $1 million prize from the Clay Institute of Mathematics. So, what is the Riemann hypothesis? Why is it so important? What can it tell us about the chaotic universe of prime numbers? And why is its proof so elusive? Alex Kontorovich, professor of mathematics at Rutgers University, breaks it all down in this comprehensive explainer.

    Read more at Quanta Magazine: www.quantamagazine.org/how-i-...

hey there !
hey there !

i see a background, two penpedicular lines, a line with a small circle at the end of it stretching and moving and other things

Vor 21 Minute
Trilochan K
Trilochan K

Here after Biswa's live podcast

Vor 21 Stunde
Santanu Bag
Santanu Bag

Amazing informations !! ❤

Vor 22 Stunden
xerotolerant
xerotolerant

some mathematical beast will come along and prove the problem undecidable.

Vor 23 Stunden
Leslie Anne
Leslie Anne

Looks like my garden hose refusing to wind properly

Vor Tag
Omega Centauri
Omega Centauri

We are in the midst of an astral awakening of faith that will enable us to access the quantum matrix itself. Who are we? Where on the great circuit will we be re-energized? Reality has always been bursting with dreamweavers whose essences are enveloped in fulfillment

Vor Tag
Don roussy
Don roussy

Gödel's Incompleteness Theorem makes this an a "yin yang" sort of pursuit. A "damned if you do, damned if you don't sort of thing, does it not?

Vor Tag
Herybitooz
Herybitooz

I can easily solve this during tea time, but first what is a prime number?

Vor Tag
Natalie Ngonela
Natalie Ngonela

I'm literally just a fashion degree student that dropped Advanced Maths class in high school wtf am I doing here????

Vor Tag
S K
S K

...And if the Riemann Hypothesis turns out to be false, arent the prime numbers going to be super-super-mysterious ?

Vor Tag
Insight2
Insight2

Ancient Indian mathematics was more advanced than Greeks..

Vor Tag
Brian Philip
Brian Philip

Thank you for that, I sorta got lost at the harmonics part and had to rewatch a couple of times, but I think I understood it somewhat

Vor Tag
Kadimcherla Naveen
Kadimcherla Naveen

An Indian professor solved it

Vor Tag
rodrigo fernandez
rodrigo fernandez

Can't we just agree it is true and called it a day?

Vor 2 Tage
koneru neelesh
koneru neelesh

it was proved recently

Vor 2 Tage
Ian Paul Saligumba
Ian Paul Saligumba

Amazing video 😮😍👏👏👏 Very easy to understand! More videos like this please

Vor 2 Tage
Narattam Chakraborty
Narattam Chakraborty

Amazing 😲

Vor 2 Tage
Diego Menchaca
Diego Menchaca

Doesn't this resemblance the exponential distribution of time since the beginning of the big bang?? Even in visual perspective, how the particle distribution reached the limit ( 0 - 1 ) in which the harmonics would eventually mark the continuum of matter growth?? I might me completely out of my mind here.

Vor 2 Tage
Dorian Havilliard
Dorian Havilliard

I understood like 10% but still kept watching.

Vor 2 Tage
Bioinformatics Online
Bioinformatics Online

maybe the proof of this famous problem requires math to develop to a whole new level, just like what happened to the proof of Fermat's last theorem.

Vor 2 Tage
Kapil Chauhan
Kapil Chauhan

Amazing

Vor 2 Tage
Michael L
Michael L

Wow! Interesting...I don't understand all of it but great explanation and graphics.

Vor 2 Tage
Jonathan Bain
Jonathan Bain

after 2 minutes of blabla its clear that this is utter bullshit if you cannot just state the question then you understand FUCKALL about ANYTHING

Vor 3 Tage
Alexander Budianto
Alexander Budianto

@Jonathan Bain What? What does that got to do with anything!?

Vor 2 Tage
Jonathan Bain
Jonathan Bain

@Alexander Budianto are you also a masktard per chance?

Vor 2 Tage
Alexander Budianto
Alexander Budianto

Bro, ever heard of intros? Besides, he's already starting to explain it within the first 2 minutes!

Vor 2 Tage
MuffinsAPlenty
MuffinsAPlenty

lol no

Vor 3 Tage
Help Me Change The World
Help Me Change The World

What I'm curious about is what would predicting prime numbers help us do? Do we not wish to experience infinity as we go rather than before we even started moving?

Vor 3 Tage
stupidfuckingidiot
stupidfuckingidiot

Lost me as soon as you started talking about those buildings. None of that made sense at all.

Vor 3 Tage
NeverTalkToCops1
NeverTalkToCops1

Such a paltry award. Add 3 more zeroes and the stupid thing will be solved in a week, by that guy in Russia who will refuse the award anyway. Hee hee hee.

Vor 3 Tage
majmaon
majmaon

How would a 3d graph look like with zeta as thr 3rd axis?

Vor 3 Tage
Deepanshu Singh
Deepanshu Singh

Kumar solved it.

Vor 3 Tage
Crusader General
Crusader General

Biden solved this problem, he also won the election

Vor 3 Tage
Nic Flatterie
Nic Flatterie

These videos are so well done and are so much better then the way I had to learn some of these concepts. It used to be just a mess of fuzzy equations without context or explaining. I guess I was stuck with poor teachers...

Vor 3 Tage
Konsta
Konsta

Extra points for using Bach's Brandenburg concerto!

Vor 3 Tage
Arun Kodaganti
Arun Kodaganti

This has been solved by a Indian professor named Eshwaran

Vor 3 Tage
HELLios6
HELLios6

One solution to the hypothesis = quantum computers

Vor 4 Tage
HELLios6
HELLios6

Riemann's hypothesis continues to amaze me. He sure found something amazing

Vor 4 Tage
Bob Sauce
Bob Sauce

I just don't understand what the hell is happening. How the hell is pie squared an answer? Why do we need 2 circles? What is this?

Vor 4 Tage
Omar Miranda
Omar Miranda

An approximation adding all the harmonics of a series reminds the Fourier’s theorem. Is it related in a way¿

Vor 4 Tage
Kardinalita Množiny
Kardinalita Množiny

The first true challenger of 3blue1brown

Vor 4 Tage
Braxton Cooke
Braxton Cooke

Everything revolves around frequencies and sounds. I wish I could get paid to just sit there and get better and better at math and try to create new things.

Vor 5 Tage
Narayan Khanal
Narayan Khanal

out of reach

Vor 5 Tage
Dongsheng Di
Dongsheng Di

maybe they can increase the prize money to $100 million

Vor 5 Tage
Stax
Stax

Is he the same guy from Veritasiam's computing pi video?

Vor 5 Tage
MuffinsAPlenty
MuffinsAPlenty

Yes, the presenter in this video is Prof. Alex Kontorovich.

Vor 3 Tage
BACK BENCHERS STUDIOS
BACK BENCHERS STUDIOS

It has been solved now, by a professor from Hyderabad, India.

Vor 5 Tage
shrey sanwaria
shrey sanwaria

I wish math was taught like this

Vor 5 Tage
Tenebrous sapiens
Tenebrous sapiens

The Riemann Hypothesis is assumed to be true in some applications in cryptography and quantum physics. Now, if one of the applications which are dependent fails, would this constitute a refutation of the Hypothesis? Conversely, if one of the applications could independently be proven true, would this be a proof?

Vor 5 Tage
uriviper
uriviper

If an application fails it would disprove the Hypothesis, this is just what we call "Proof by contradiction". However, proving an application independently does not prove the Hypothesis. In fact, many things that were first proved using the RH were later proved independently.

Vor 5 Tage
Avik Mondal
Avik Mondal

dr kumareswaran proved it??

Vor 6 Tage
2 the Sky
2 the Sky

This video made me to subscribe this channel.

Vor 6 Tage
Ross Dawson
Ross Dawson

Add a dimension

Vor 6 Tage
Sukanya Baliarsingh
Sukanya Baliarsingh

I'm enlightened. Thank you so much! 👌🏾

Vor 6 Tage
davyoooo
davyoooo

there are mistakes in the graphics (spec. some equations) you need to proof this better!

Vor 6 Tage
Ellie-Rose Stein
Ellie-Rose Stein

The witty cabbage preclinically obtain because pendulum rahilly correct along a earsplitting cork. energetic, eight claus

Vor 6 Tage
Jonee Boi
Jonee Boi

An indian solved it I guess( Riemann hypothesis)

Vor 7 Tage
Spandan Patra
Spandan Patra

Yep!!

Vor 7 Tage
E . M
E . M

Bro you had me until 6min then I had no clue

Vor 7 Tage
Arun Reddy edla
Arun Reddy edla

A maths prof from india solved this and won 1 million dollars

Vor 7 Tage
Vindhyanu Shukla
Vindhyanu Shukla

kool

Vor 7 Tage
Cool Dad
Cool Dad

What does Pi have to do with anything? 😅

Vor 7 Tage
Majha Tumcha
Majha Tumcha

I don't think you explained it quire right. The graph is simply the number of primes encountered as we proceed. It doesn't tell the number of prime you see nearby value of x. So if x is 1000 the y axis simply tells number of primes less than 1000.

Vor 8 Tage
Harshit Agarwal
Harshit Agarwal

I don't even know Where I got lost 😂

Vor 8 Tage
T1TV1
T1TV1

Are you kidding me ? The answer is directly in front of you . Surface planet is amazing . such potential , such delays waiting for you. In the meantime we keep flying "curly q's " around you .

Vor 8 Tage
Alexander Budianto
Alexander Budianto

If the answer is so clear to you, why don't you do it yourself?

Vor 2 Tage
Bishal acharya
Bishal acharya

This Hypothesis is so hard that I had already watched this video 5 times but still didn't understand. So, I am here for 6th time

Vor 8 Tage
created by "S" తెలుగు.
created by "S" తెలుగు.

Its Finally Kracked yaar.....by ESWARAN sir in India

Vor 9 Tage
Relbl
Relbl

I get this is cool, and makes spooky connections across seemingly unrelated fields in Maths... but at the end of the day I still don't understand why Maths people are so excited over primes. What am I missing?

Vor 9 Tage
Chinmay Kulkarni
Chinmay Kulkarni

To all Indians, Dr. Eswaran's proof is not yet peer reviewed or confirmed by the Clay Institute. Please stop dancing and spreading fake news. Thank you.

Vor 9 Tage
Retro Game Spacko
Retro Game Spacko

4:45 Bargeld lacht

Vor 9 Tage
Badass Gaming
Badass Gaming

I think you should apply [{(1 + 2)² - 5 = 0} * infinity]

Vor 9 Tage
Anirudh Sasank
Anirudh Sasank

Awesome explanation sir 🔥🔥👍

Vor 9 Tage
Daniel Fraga
Daniel Fraga

Very good vídeo

Vor 9 Tage
Terminus 84
Terminus 84

people declaring themselves as mathematicians are cringe

Vor 9 Tage
akhi004
akhi004

In all seriousness this seems important. For everyone else, non trivial zeta zeroes is an unimportant problem invented to solve another unimportant problem and leaving 2 unimportant problems behind.

Vor 9 Tage
Ray Ch
Ray Ch

Prof Kumar Eswaran has solved it.

Vor 10 Tage
Ray Ch
Ray Ch

@Chinmay Kulkarni I agree, I was amateur in commenting.

Vor 8 Tage
Chinmay Kulkarni
Chinmay Kulkarni

Let it be confirmed by the Clay Institute first.

Vor 9 Tage
N Rath
N Rath

Prof . Kumar Eshwaran solved it. And it's official.

Vor 10 Tage
Sameer Kashyap
Sameer Kashyap

It's solved

Vor 10 Tage
Chinmay Kulkarni
Chinmay Kulkarni

nope. not yet confirmed by mathematicians worldwide.

Vor 9 Tage
Talak Babu
Talak Babu

The grandiose dancer informally include because coin tribally wash mid a jumbled disgust. kaput, homely icebreaker

Vor 10 Tage
Emil Aalto
Emil Aalto

What

Vor 10 Tage
zylokun
zylokun

So what can we do if we solve it?

Vor 10 Tage
Amey Kadam 51
Amey Kadam 51

get a degree maths basically we mortals cant understand the complexity of this problem

Vor 10 Tage
Bob Bobathan
Bob Bobathan

I suppose another strange mathematical conundrum is that at some point there will be a prime number with an infinite gap between it and the next, but it is impossible to prove.

Vor 10 Tage
MuffinsAPlenty
MuffinsAPlenty

No, the gaps between primes can get arbitrarily large, but not infinitely large. The natural numbers have the sort of most compact version of infinity. Picking any two natural numbers, there are only finitely many natural numbers between them. So if there was an "infinite gap", this would imply that there's a largest prime number, which there isn't. There are infinitely many primes.

Vor 10 Tage
The VoE
The VoE

Please what how do you make your animations

Vor 10 Tage
viraltaco
viraltaco

Wow. I sure wish I understood any of this. Eventually I will, has I've recently became fascinated with primes and this is too good to overlook.

Vor 10 Tage
HELPERZ Cat
HELPERZ Cat

I didn't knew that even that much existed in this world ,Ohh god

Vor 10 Tage
nimmakuri vikram
nimmakuri vikram

Its solved

Vor 11 Tage
Henry Long
Henry Long

well math is racist now. so dont expect the next generation to solve this problem.

Vor 11 Tage
unionsafetymatch
unionsafetymatch

That shot of complex functions at ~ 9:40 was amazing

Vor 11 Tage
ௐ

Hate to say that I hated your last sentence. First understand where the digits come from. Thanks. Here is a hint : ௦ ௧ ௨ ௩ ௪ ௫ ௬ ௭ ௮ ௯, its even on my android virtual phone keyboard .

Vor 11 Tage
Swarup Armal
Swarup Armal

🧡🧡🧡

Vor 11 Tage
Jay Bakes
Jay Bakes

Full Reptend Primes 0.5882352941176470

Vor 11 Tage
mahesh basavraj
mahesh basavraj

I am just feeling in awe right now and a strange feeling of satisfaction. Great video

Vor 11 Tage
SUNITA GOEL
SUNITA GOEL

Now solved dude make a new one

Vor 11 Tage
Amey Kadam 51
Amey Kadam 51

@SUNITA GOEL they rejected it years ago in 2014

Vor Tag
SUNITA GOEL
SUNITA GOEL

@Amey Kadam 51 They didn't rejected the solution ,they still haven't given a reply.

Vor Tag
Alexander Budianto
Alexander Budianto

Not, it's still not solved.

Vor 2 Tage
Amey Kadam 51
Amey Kadam 51

@Syed. Muneeb malik no the university rejected the answer

Vor 10 Tage
Syed. Muneeb malik
Syed. Muneeb malik

@Homo Sapiens it is solved by *kumar eswaran* . He is a professional mathematician from hyderabad(india). And he also got 1million$ as reward to solve it

Vor 10 Tage
Kaws Expo
Kaws Expo

The slim earthquake thoracically complain because kenneth reversely chase underneath a condemned join. stupid, tremendous ring

Vor 11 Tage
HobbsyTenTwentyThree
HobbsyTenTwentyThree

how fun... you cant prove it so they aim to disprove it. So cool. The idea that every possible zero exists out to infinity and is showing on that line is fucking crazy....

Vor 11 Tage
Syed .Shah
Syed .Shah

After watching the video if the professor himself can't solve it and even reimann didn't solve then....awwww...duh....better I watch some random boyfriend girlfriend fake pranks videos and leave that one million dollar alone.

Vor 11 Tage
WebCoLocal 1
WebCoLocal 1

Impressive. But it’s not Numberwang.

Vor 11 Tage
な だい
な だい

The chief diamond finally puncture because gram traditionally announce near a caring beech. worthless, tired bookcase

Vor 12 Tage
tomtomdu
tomtomdu

why cnt we put that thing is super computer and solve it

Vor 12 Tage
Manideep Guntuku
Manideep Guntuku

well it has been solved and the guy(Dr Kumar Eswaran) got a million bucks

Vor 12 Tage
Chinmay Kulkarni
Chinmay Kulkarni

@MuffinsAPlenty no bro, I agree with you. I was replying to OP. These Indian nationalists are getting cringe these days, thank you for giving them some GK and sense.

Vor 9 Tage
MuffinsAPlenty
MuffinsAPlenty

@Chinmay Kulkarni No one is confusing Grigori Perelman with the current situation. The current situation is that a physicist from India (Dr. Kumar Eswaran) claimed to have proven the Riemann Hypothesis in 2016. He released the final version of his attempted proof in 2018. He submitted his attempted proof to journals in 2018, but all the journals either rejected his paper or refused to even send it to review. However, people publicly pointed out errors in his attempted proof. But because no one was accepting his attempted proof (because he was wrong), Eswaran decided to go around the peer review process and invent his own process to get recognition. He got together some professors in India to form an "expert committee" to determine whether his proof was correct or not. The expert committee used an "open review" process and created a formal document declaring that Eswaran's proof is correct. (There are a _lot_ of issues with the conclusions of the "expert committee".) All that being said, to someone who isn't familiar with mathematics research, the report of the "expert committee" looks really impressive. So the media in India began running stories about how Kumar Eswaran had proven the Riemann Hypothesis (and some claimed he won the million dollar prize). This started being picked up by the Indian media a little over two weeks ago. But as I said above, Eswaran's attempted proof is wrong, and we have known that it's wrong since he released his final draft in 2018 (his current draft is unchanged from what he released in 2018).

Vor 9 Tage
Chinmay Kulkarni
Chinmay Kulkarni

some russian guy solved the poincare conjecture and denied the 1 milion dollars dummy. get your facts right.

Vor 9 Tage
MuffinsAPlenty
MuffinsAPlenty

No, his argument is wrong, and this has been known for about 3 years (when he first released his argument). Also, he absolutely did _not_ get a million dollars. That's _very easy_ to check, and it's false.

Vor 10 Tage
Nath Thydanita
Nath Thydanita

Can I just appreciate how well the animation is? Literally, WOW.

Vor 12 Tage
Daniel Fernandes
Daniel Fernandes

Can I as well?

Vor 2 Tage
MATHS WISDOM
MATHS WISDOM

Loved the presentation. You made it easier to understand. Thankyou sir

Vor 12 Tage
Rakesh Choudhary Desi Jaat
Rakesh Choudhary Desi Jaat

Pi value discovered in India many years ago.

Vor 12 Tage
Chinmay Kulkarni
Chinmay Kulkarni

Nope.

Vor 9 Tage
BOBSHIFIMODS
BOBSHIFIMODS

Riemann was a complete genius. It's good that this video correctly credit him and Gauss for laying the foundations for SR. I've only seen them credited once before. Most people seem to think that Einstein came up with it out of thin air and it's been stated we'd have had to wait 80 years if Einstein hadn't done it. Apart from Gauss and Rheimann disproving this, Hilbert was working on his own form of SR in parallel with Einstein.

Vor 12 Tage
Hari Sankar
Hari Sankar

A BILLION evidences that ol' Riemann predicted it correctly isn't enough?! You guys want a more rigorous proof? Pff.. Mathematicians! An engineer would have been happy with a few dozen. Absolutely amazing video, guys! Kudos!

Vor 12 Tage

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