The Riemann Hypothesis, Explained

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”

Thank you, Quanta Magazine. My understanding of the Riemann Hypothesis went from 0% to 15%. Great job (I mean it).

This is like becoming an astronaut, discovering a previously unknown planet, finding a river on that planet, and at the bottom of the river is the perfectly fitting other half to a broken rock you found in a river on Earth as a kid. The Universe sees the look on your face and laughs silently.

I really appreciate that you explain the more “basic” things (e.g. what a log function is). It makes the video feel welcoming to people who aren’t necessary very good at math (like me, lol)

Whoever does these animations, massive props to you. These are literally the best math illustrations I've ever seen.

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

For the first time in my 46 years, I have truly understood what the Riemann Hypothesis actually is. Thank you!

I'm amazed by Riemann, Euler, Gauss and other mathematicians/physicists how their brain and curiousity for math and science managed to find these sort of algorithm and new fundamentals that we even use today. Amazing vid, love your animations!

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.

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

When pure mathematics comes with lucid explanations, and the two are complemented by a perfect vanilla icing of aesthetic graphics. A million thanks for this amazing presentation.

Hats off to Kontorovich sir. He explained such a complicated topic in a very simple manner. I just want to develop this skill.

Reimann, gauss, euler and all other guys did all this stuff without matplotlib😳 I can't even imagine the extent of their hardwork and dedication

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

I can't believe I understood this. I've heard about this for years, but this is the first explanation I've seen that makes sense. Great video.

Watched this a few months back. A few months of studying maths rigorously later, and I can finally start to appreciate how magnificent this is

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

If there was a video like this for every math concept, I would never take my eyes off the computer screen.

Well done! Great animations go a very long way to illuminating the discussion which is as relatively simple and clear as possible. Thank you.

This video goes so well with the 3blue1brown one. It explains the Riemann zeta function in more detail and helps you get an actual feel of the 0's, especially the trivial ones. But like all other Riemann zeta function videos I've seen before, they say 'it's important for primes' and refuse to elaborate. NOW I understand, thank you! At least, I understand enough to appreciate it. I've wanted this for so long. Thanks, once again! Also I never appreciated how much of the Riemann hypothesis was actually done by Riemann himself. What a juggernaut! I thought he laid the foundation and it stopped with 'I think the zeroes are on 0.5' and that someone later realised the connection with primes.