The Riemann Hypothesis, Explained

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Quanta Magazine

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Shared January 4, 2021

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: https://www.quantamagazine.org/how-i-...

Guru da Ciência

this is next level content

3 months ago | [YT] | 5,548

Artisorak

Proving the Riemann Hypothesis is probably one of the hardest ways to make a million dollars.

1 month ago (edited) | [YT] | 1,742

Marcello Capone

There's a janitor in Boston who I think could take a crack at it.

1 month ago | [YT] | 1,384

SouthBayJay

Literally if my math teacher had just said “logarithms are to exponents what division is to multiplication,” I would have had much less trouble with them. Thanks dude

1 month ago | [YT] | 593

Raian Maikeru Jōnzu

Oh I see, the "Zeta Zeros" (shovels chips into my mouth as I lay on the couch in my underwear).

1 month ago | [YT] | 475

zhongning chen

My math professor once said, “I’ve know the existence of these math problems for many years. And I assure you, there are a lot easier ways to make a million dollars”

3 months ago | [YT] | 4,019

InterstellarHD

I think you deserve $1 million just for explaining this hypothesis in a clear and understandable language. Well done!

1 month ago | [YT] | 452

Andy Ancrum

I would love to have been born with the gift of mathematical understanding. My poor brain just starts to overheat like an old car on a desert highway at noon.

1 month ago (edited) | [YT] | 152

Κωνσταντίνος Καρβουνιάρης

I know very little about mathematics yet I was able to keep up with this video till the end. That's a rare talent you've got there, explaining such advanced concepts in plain English. Thank you!

1 month ago | [YT] | 146

Tajh Taylor

This is really good. But that moment at 7:13 where he makes the leap to prime numbers went by waaaay too quickly. I had to stop and rewind and pause to catch the transformation.

1 month ago | [YT] | 113

Set Mason

hold my beer, I got one A in math in high school, I got this

3 months ago | [YT] | 1,220

Mat Broomfield

"No you don't need an advanced degree in mathematics to go on this journey with me." I was lied to!!!

1 month ago | [YT] | 116

Pete S

Me: It's been a long day, let's watch some light-minded vid.

Youtube: How bout Riemann Hypothesis?

1 month ago | [YT] | 27

Aquila

This guy explaining imaginary numbers made more sense than when I learned about them last year in class

1 month ago | [YT] | 30

Eric Brown

investment is the tiny line that keeps deferentiating the poor from the rich.

4 weeks ago | [YT] | 42

α plus β equals γ

I have discovered a truly marvellous proof of this, but it's much too large for this youtube comment to contain. Therefore it is left as an exercise to the reader.

3 months ago | [YT] | 5,443

Alexander Grube

"Riemann was able to rigorously proof that if you add up all the harmonix of the zeta zeros, you get a perfect match to gauss's modified prime counting function"
yes of course, i knew that

4 weeks ago | [YT] | 6

Will H

cool man, I think I'll solve this over my lunch break

1 month ago | [YT] | 64

Wolfgang

Just to understand this video would take me 20 years, so I guess that million would end up to be a bad pay per hour.

1 month ago | [YT] | 49

Erik Lundqvist

At some point I didn't understand anything but I kept watching cause the animations are just so crisp

1 month ago | [YT] | 22