What is the hardest, most difficult math equation to solve? What is the most recently discovered or invented math equation?

Is the Navier-Strokes equations difficult?

The biggest one that is probably at the forefront of unsolved math problems is the Riemann Hypothesis.

http://en.wikipedia.org/wiki/Riemann_hypothesis

Prove that the non trivial zeros of the Riemann Zeta-function lie on the critical line

By brute force computation all the known non trivial zeros have been found to lie on this line... but that is not a rigorous proof that they all do.

Thanks Galactus!! Have you ever tried to tackle navier-strokes?

By the way Galactus, I'm only in Algebra, but for some reason I'm really interested when I see hard math, like those. Is that okay? Is it okay to be interested in something too advanced for me?

Why certainly:D

I do that myself. The thing to do with math is go in stages. Get good with algebra. Then calculus. Then differential equations. Then... on and on and on:)

Awww man... I'm impatient :D I want to grab all the books and bury myself in it =)

By the way, it's

Algebra, Geometry, Pre-calc, calculus, trigometry, THEN differential equations, right? MAN I'm a long way...

Is that you with the Ukulele?

Ukulele? That's a Banjo!! :rolleyes:

Funny, I feel the same! :)

I can't give anyone a greenie because I have to pass some reputation... =(

Here is a list of the Clay Institutes unsolved math problems:

Those that, if solved, are awarded a $1,000,000 prize.

Millennium Prize Problems

The Poincare Conjecture was solved several years back. But the man that did it is an eccentric that refused the prize. Can you believe that?

His name is Gregori Perlman. A genius, yet a little wacky. Which isn't unusual. Google the Poincare Conjecture and you will find out all about it.

The math is crazy.

Wow, I wasn't aware that prizes were awarded to 'math solvers' :eek: :rolleyes:

YES!! Something to live for!! (If you're thinking about solving it, don't bother, I'm solving it first). You too Jerry boy =D

LOL! If experts are having difficulty to solve them, you think you'll be able to solve them? ;)

Hey, I checked the site roughly... I can't see the problems :confused: I only saw one, about Yang-Mills and Mass Gap...

Go to the site and click on link for each problem. It explains what they're about, but it does not get into the actual math involved. That is mighty tough stuff. The Navier-Stokes equation for example. Just looking at it burns up synapses:D

You can Google the various problems, specifically, and find out more about them.

I once found a pdf of Perlman's Poincare Conjecture proof. I don't know if I could find it again or not.

See here: http://arxiv.org/PS_cache/math/pdf/0303/0303109v1.pdf

That Poincare Conjecture... shrinking a rubber band at a point? :confused:

I read an article about in on Wikipedia... my head is starting to hurt, lol.

Yes. That is an area of math known as topology. It's tough stuff.:confused:

For instance, I once had a coffee mug that said, "To a topologist, this is a donut".

Makes no sense? Well, from a topological standpoint, a coffee mug and a donut are the same.

=D Poincare Conjecture eh? What is that stuff all about anyway? Wikipedia don't do good job explaining...

Apparently, a spherical coffee mug will be able to 'withstand the experiment' with the rubber band, but not the donut...

You have probably seen this, but I like this one the best:

Derivation of the Navier?Stokes equations - Wikipedia, the free encyclopedia

A hundred prisoners are each locked in a room with three pirates, one of whom will walk the plank in the morning. Each prisoner has 10 bottles of wine, one of which has been poisoned; and each pirate has 12 coins, one of which is counterfeit and weighs either more or less than a genuine coin. In the room is a single switch, which the prisoner may either leave as it is, or flip. Before being led into the rooms, the prisoners are all made to wear either a red hat or a blue hat; they can see all the other prisoners' hats, but not their own. Meanwhile, a six-digit prime number of monkeys multiply until their digits reverse, then all have to get across a river using a canoe that can hold at most two monkeys at a time. But half the monkeys always lie and the other half always tell the truth. Given that the Nth prisoner knows that one of the monkeys doesn't know that a pirate doesn't know the product of two numbers between 1 and 100 without knowing that the N+1th prisoner has flipped the switch in his room or not after having determined which bottle of wine was poisoned and what colour his hat is, what is the solution to this puzzle?

This is a joke. There is no solution because nothing has been asked. It is just a bunch of mumbo-jumbo.