Solve This Mathematics Problem and Get 1 Million Dollars

Let's look at the Millenium Prize Problems! 🚀

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My CV & Personal Statement (+ other documents):

For those of you that are new here, hi there 🌞 my name is Ellie and I'm a Part III Mathematics Graduate from the University of Cambridge and current Astrodynamics Software Engineer! This channel is where I nerd out about maths, physics, space and coding so if that sounds like something you're interested in, click the subscribe button to follow along ☺️

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[frankansari]

My favorite is the Riemann hypothesis. One reason for this might be that it is the only one out of these seven where I understand what it is about.

[TiMdErStOrM]

We want them videos where you'll explain all of them problems individually in detail!

[reyantener]

I like the Navier-Stokes existence and smoothness problem. Their equations are used in so many fields, and there are so many starting points to study this equation.

[Juttutin]

When I was 15, I was near the very top nationally in maths. But I wanted to be out in the real world, not stuck in university... And I've had a great and varied career... But now, at 55, I wish I had my agile young brain back, or at least stuck with serious math, even as a hobby. I'd love to spend days exploring a couple of these problems in a deep meaningful, and perhaps even productive way.

Young folk, if you have a real aptitude for math, then hang onto that, treasure that, stretch yourself, as a hobby at least. Because your brilliant young mind will not always absorb concepts and see abstractions as easily and automatically as it does today.

[krwada]

Chemical Engineer / Electrical Engineer here.

Of course, ever since my mass transport professor introduced us to the Navier Stokes equation, and the many ways to use it to solve problems, I have been fascinated as to how precise and accurate this thing is, and we still have NO idea as to whether we can ever find a closed form solution for all cases of fluid flow.

As a person who works with coding, the Riemann hypothesis is absolutely fascinating. Also, elliptic curves are something that is quite common when in the area of cryptography.

[virais]

NP is the most important thing for me in professional terms, it is seen a lot in the Engineering that I studied, but without wanting to be flattering but being honest, I love Differential Equations and everything about calculus has always fascinated me the most, so Navier's equations Stokes has my heart too, because they actually keep incredible secrets of the explorable universe. Waiting for more videos in this series, Miss Ellie. ☺👍

[Unchained_Alice]

I was almost driven insane by the fluid dynamics I did study so my feelings for that one are the polar opposite.
As for my favourite, it's really hard to choose. P vs NP, the Riemann hypothesis and the Poincaré conjecture are all up there for me

[TriPham-yowe]

Prime = N+(n+1) if n is odd from beginning
Prime = n+1 if even and move back 1 place if grater than 3 or discarded if repeated is arithmetic sequencing but if use π by secret classifed formula of whole number in π if new π is multiple of 3.1416 come out even whole when radius increase is mostly prime

[ercsey-ravaszferenc]

The thing about Perelman is that he's also a very severe case of Asperger's. He's completely sincere when he say that he doesn't see what he did as a big deal, in fact from what I read, he totally lost interest in mathematics, nobody knows what he does nowadays. He lives in the same tiny apartment with his mom, he doesn't give interviews, doesn't answer any questions, he rejects quite bluntly anyone who tries to approach him.
One thing you forgot to mention is that anyone solving any of these problems will have to wait for two years before claiming the prize simply because that's how long it will take for the small handful of people on the planet who are even able to understand any such solution to check the correctness of it.
I remember about a decade ago there was a huge sensation when someone (his first name was Vinay if I remember well) announced that he found a solution to P vs. NP. In a few days Terence Tao found a flaw in his method but before that the forums and discussion boards were very animated, everyone was excited.

[chandranisahanone]

Actually these problems holds more than billion dollars! That's the fact

[zoetropo]

I contributed to the specification of the Yang-Mills problem, as I wrote to the Clay Institute to explain that the original formulation was too easy, as I had come close to solving it in 1979-1980. I apologise for that.

[Hamzasyed_]

Hey just wanna say, can you make a video about how these maths topic works in a real life or why they are essential like trigonometry, complex number please.

[dustinbachstein]

Nice overview, I enjoyed watching it :) At 2:36 the first 1 in the summation shouldn't be there. That's the only one out of the seven where I feel confident to say something about :D

[kdog]

'almost' certain.

**glares mathematically**

Favourite Maths Problem: I'll let you know. After bad experiences at school I'm still trying to decide if I am even able to enjoy maths again. I am, effectively, starting from scratch by revising GCSE and going from there. There have been a few 'lightbulb' moments already, which is encouraging, but i'm not quite sure if i'd use the words 'favourite & 'maths' in the same sentence yet. I do find your enthusiasm infectious though so your are acting as an encouragement boost! Thanks for the content!

[luuwfeo]

can you make video about how mathematics can be so good for physics and another sciences ? Thank you for all videos!!!!

[Ghulatz]

Nice one, please could you make a video about what those 7 pbs have in common aside the prize and difficulties ? Gracias

[athulshaji]

Can you please do a video on cohomology and how it is related to computation?

[taylermontgomery]

Navier-Stokes smoothness for 3D time-dependent vector functions will not likely be completed in the 21st century, as Terrance Tao said that solving them is analogous to "trying to climb a shear wall"; virtually impossible, even for the world's most experienced mountaineers, and that "we just don't have the tools to solve them yet." Having tackled the problem myself and independently stumbling upon Lamb-Oseen's equation, I think the best footholds in the wall occur where fluids tend to retain probabilistic structure: vortex motion. Vortexes in fluids are the most robust, well known, mysterious phenomenon that happens wherever rigid shear stresses become sporadically uniform for very short time intervals. Navier-Stokes has been my favorite equation, rivaling my love for Euler's identity.

[RosaLichtenstein]

Excellent as usual, Ellie. But, isn't there a problem with the definiton of prime numbers usually given, that a number is prime if it is divisble by one and itself? The problem is that the number one would qualify as prime in that case. A better definition is that a number is prime if it has exactly two factors. That rules out one (which has only one factor), but allows all the other primes.

[adil.]

Me: counting how many zero's are there in 1 million