A Brilliant and wonderful explanation. This makes me love math and R.H. even more. There is so much beauty and mystery in the Riemann hypothesis and prime numbers patterns.

A wonderful summary of this intriguing hypothesis. I like the apparent connection to real world physical systems.

literally couldn't understand what Riemann hypothesis was from all the other videos on youtube, thank you for this video !!!!!

Your videos on mathematicians are amazing. Please continue this work.

I've watched many videos on this subject, but i really feel like yours gives me the best picture of what this all means.

That's very fascinating.

I love your video, full of wisdom as the topic itself.

I watched many talks regarding the Riemann Hypothesis, but this one is one of the two best ones I ever watched. Thank-you very much. I will subscribe your channel.

Absolutey great content, thank you for this Sir

Fantastic explanation!

Good conclusion of the Riemann hypothesis, I'd like to ask you about to make a video about, how can the man calculate the first non trivial zero 1/2+i14... by hand, Thank you!

Primes arranged in a particular way do show a pattern and indeed display this order amongst all the randomness. Trouble is the pattern is beautiful to see but not repetitive. Maybe we haven't put the numbers into a coordinate system where a repeated pattern is possible, yet.

Thank you sir ,for such an outstanding lucid lecture ....about the intriguing hypothesis

the best lay introduction to the Riemann-Hypothesis i have ever seen , great job sir , you deserve many more views

Fantastic.

You’re very eloquent. I would really like to hear from you what a mathematical proof is and maybe give a couple examples. Thank you for the video.

I'll get on it as soon as I'm done proving the solvability of the Generalized Navier-Stokes Equation.

The Riemann hypothesis is named after the German mathematician Bernhard Riemann, who proposed it in 1859, and it has to do with the distribution of prime numbers. A prime number is a number that can be divided only by itself and one without leaving a remainder. Prime numbers are fascinating, not only because they are of fundamental importance in math, but also because although we can't predict where the next one will turn up on the number line, they don't occur completely at random. There are rules governing their overall distribution. The most important of these rules has been proved today, and it is called "the prime number theorem." It states that for any number

A Solution for the RIEMANN ZETA FUNCTION is extremely valuable because It also point to Solutions for enhancing the HAMILTON GEOMETRZATION Poincare conjecture, Hodge Invariance conjecture as it relates to PRIME NUMBERS, TAYLOR INFINITE SERIES ,MACULIN SERIES and Doing Arithmetic past ZERO or Singularity as it is called in Analytic Geometry , and Algebraic Geometry, and it Directly points to the Prime factorization Algorithm , the Division algorithm, and the QUADRIATIC FORMULA This Solves many DIMENSIONS and RANK IN THE COMPLEX FUNCTION PLANE for MANIFOLD like The Kahler MANIFOLD ,CALIBU YAU MANIFOLD simeoustanesly and Points to Soulutions to the entire Millennium Prize Problems proposed by The Early 20th Century Philospher and Mathematician David HILBERT , Including the YANG-MILL Mass GAP , and the NP COMPUTATION time space COMPLEXITY problem also know as the Traveling Salesman problem

Good presentation, and fascinating topic. This $1Million prize though has fairly declined in value since first instituted - could they perhaps inflation adjust it ? What with the sky-rocketing prices of fuel and energy especially it is not going to go too far !

Very good!

I’ve always wanted a video on how the zeta function actually revealed the secrets of prime numbers - and your video delivered! Thank you. I’ve subscribed :)

Thanks for the video. I notice you have a diagram at 5:07 that shows a pole at 1; surprisingly you also have a pole at 0. Unless I'm mistaken, 0 has a value of -1/2.

So underrated

Best explaination of the Riemann hypothesis. Simple and straight forward.

Multiplicative primes for mass and addition primes for time. Spin quantum is ratio. And when ratios match quantum entangled. 7 2×7-1 3×7-2. Numbers of Doppler effects.

Great video. Thanks! What is the smallest imaginary number on the 1/2 real number strip ever found?

How to find next primes? 2x=3,x=1.5 2x*3x =5,x=5/6x 2x*3x*5x =7,x=7/30x 2x*3x*5x7x=11,x=11/210x If these x value have a rule, we can find next primes? For example when 2 3 5 7 11 13 17 19 primes what is next prime?

You can find it zeta of function (1/2 + 14.13 ... i) = 0

C'mon man, how will you not show the proof to the solution, you're really keeping me on the edge of my seat.

Do you have a podcast?

ζ/12 is Riemann hypothesis zeta twelve.thanks.

Dear Professor. Is there perhaps a website or book listing the failed evidence of the Riemann-hypothesis ?

One thing I don’t get as an amateur mathematician, viz., the concept of the first so-many zeros of the function (about 8 minutes in). I presume the implied ordering relates to progression in one direction along the critical line starting at the real axis (say going up), BUT ... if there was an accumulation point of such zeros when approached from above then it wouldn’t make sense to refer to the first n zeros for a sufficiently large n (like it doesn’t make sense to refer to the first n rational numbers bigger than 0). I presume there isn’t and can’t be any such accumulation point of zeros of the Riemann zeta function but is that obvious, or is it a deep result on its own?

Can you review to Beimar Lopez, he's a Bolivian and he found a new formula to understand and solve more fast.

does that mean each non trivial zero corresponds to a prime number?

Where can one look at the evidence of the statements of 1915, 1989 and 1995? Could you please write an answer-Thank you.

Its a way to get a me measurement to calculated a place in space

I have developed a new theory, I have called Partitions Trigonometric and I have discovered something amazing. I can do X Rays with these equations applied to Z Riemann Equation.

Surely a disproof would be more interesting as so much work "assumes" the Riemann Hypothesis

"'Sblood, there is something in this more than natural, if philosophy could find it out."

I've seen several claims from people that supposedly solved it. There are many here in KZfaq, what's your take on that? Is there a possibility that the actual level of knowledge in mathematics prevents us from either confirming or rejecting certain solutions?

Please one और video lacture on riamann hypothisis

What if I have found a method to exactly calculate all Pseudoprimes chronologicaly and can therefore tell you were all prime numbers are standing up...Would that be the long awaited solution?

there is a very simple solution to this issue and a way to predict all prime numbers, prime numbers in sequence and all twin prime numbers also, it also accounts for the gaps between primes to, would like to chat more about this if anyone wishes to see some proof of this concept but so far it can count the primes in only the prime sequence e.g: 30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000223 is a direct result of 223 and also there are 97 0's in the above and 97 is the 25th prime the opposite to that wave function is 223 or more so 3 being the opposite to 7 were 5 is the mid point or decimal or 0 so 22 = 0 0 .5 variation in that wave function so also this long number tells me that 31223 is also prime but this can be done in sequence also so from 31223 (3364th prime) the next prime is 31231 (3365th prime) the next would be 31237 (3366th prime) the next is 31247 (3367th prime) next = 31249 (3368th prime) etc counting in sequence with the right base functions, there are wave functions within the whole number as a single wave function, anyways if anyone is open to talking about how this is achieved then let me know because i'm eager to work with someone that wants to figure this math problem out as much as I do.

Sir, please analyze PRMO question paper and please make a series to help us prepare for it. (PRMO - Pre regional Mathematic Olympiad)

Great video! Only at 1:20 Riemann picture, he was born in 1826, not 1822. Died when he was 39 in 1866.

TRUE

If I said I understood more than the first minute of this, I would be lying.

Saddened to hear that Mr Dyson of Dyson Sphere fame (and Im sure other ideas) has passed not too long ago. We need more great minds like him..

I watched the entire video and I only have one question: what?

Oh, I get it. So basically the Riemann hypothesis is a mathematical hypothesis created by a mathematician named Bernhard Riemann. According to what your saying. He created it the 1800s. Roughly 200 years later it's still unsolved. There's a million dollar prize for the one who solves it. The equation dealt with prime numbers and complex analysis. Along with complex functions. Thank you for the video. I hope the Riemann hypothesis gets solved soon.

I solved Riemann's hypothesis that every zero does end up on the line and I have proof to show you in a way for you to check and see if every zero ends up on a critical line

There's an interesting idea that this may fall into the Godel cracks in provable theorems. (That is, there are true statements that cannot be proven.) If THAT can be proven then we would know that Riemann is true, but we can't prove it directly.

Welcome The explanation is beautiful and clear, but I have a lot of questions about the topic. Can I send you a private message to answer them.... You are my only hope

The birth year given in the graphic is incorrect. Riemann was born in 1826, not 1822.

It is solved by telugu man ..andhra in india ..

Sir can you explain that function theory and Function we want to understand that Function and want to reached on it

good

Nice ;D

This problem was solved recently by indian mathematician Dr Kumar Eswaran.

The solution is quadrature of the circle

-_- No words

Anyone after solving it? 😅

I know the answer and i can make any number less than one a critical line

Hi This is Abhijeet Deshpande and.... This is how to understand the theorem.... Points: 1.) From 1 to 100, calculate the number of odds and evens 2.) Now for every single of the odd and even numbers, measure and write down the number of steps, for both to go to the number 4. 3.) For both the odd and even numbers, calculate individually as below, a.) Add the number of steps to get a total of both odd and even b.) Get a total of odd / even numbers by addition i.e. a.) How many numbers are odd and even b.) And what the the sum total of odd and even by addition c.) What is the sum total of odd and even by division d.) What is the sum total of odd and even numbers by substraction 4.) Divide the number of steps with the number of odd / even numbers wiithin 1 to 100 5.) Now upon fiding the value of the division of both odd and even numbers, Use the above results of calculations to calculate with the results to determine the base structure or the point of average c divisions or calculations, where both the calculations of odd and even align, And Voila, you have a symmetry of calculative set of equations that would determine the results of any similar supposedly unsolvable equations. These equative calculations of mine can also solve the problems of Rieman hypothesis of prime numbers as well. As such I am eligible to win the seed of Clay Institute for of and towards the same. 3x+1, Rieman Hypothesis © Abhijeet Deshpande, 2021

الترجمه

Prove by induction.

Is the hypothesis maybe unprovable? Has its decidability been established? Has anyone proved that it is not unprovable?

It was solved

Interesting stories. By a bit of a random path around math-physics and a lot of Feynman type guesses, the congruence of approaches, "top down" math-experiment discrimination of proof/disproof "wave-package" superimposed on a "bottom up" reciprocal physics measurement analysis, is not so surprising as a comparison of reciprocals in the naturally occurring e-Pi-i interference, temporal positioning resonance Principle, derived format. But this is Amateur Observation, about as relevant as reading about someone else's hard work.

i can proof riemann hypothesis. where do i began?

Amazing , I solved in 2010 and mathematicians are using it to come up with alternative explanations and their new conjectures < Peter Sarnak , Barry Mazur , Michael Atiyah . Anyway all zeros have real part Zero and roots are in form of S= i (pi+- 2kpi )/lnp^2^n . Pere Sarnak had it because I send it to Annals of Mathematics and they had my manuscript for 9 months !!!

Does anyone think Leonhard Euler could have solved the Riemann Hypothesis?

KRISHNA.

Lo siento pero parece que un boliviano Beimar López encontró una fórmula para dicho problema del milenio. Saludos 🖖 desde Bolivia 🇧🇴.

I’ve figured it out, wrote a paper on it and have no idea where to submit my paper.

Problem solved by hyderabad India this is so easy😎 problem

Huh?

Indian person has solved it, what's your opinion on his solution??? Do you agree with him ,if not then why???

P.S.P. in my humble opinion (Professional Science Popularization), however the Riemann-zeta function has only one pole at 1, so there is no pole at 0 where its value is -1/2.

all is prime numbers. P^all

I solved the RH. But there's not enough space in the comment section for me to write it.

You misspelled Riemann's date of birth.

It was solved by a telugu state professor, who live is Hyderabad, india and he has been awarded 7crores by Cambridge

The 1000000001st zero sits on 0.4

This problem solved by Doctor kumar ishwaran From India

I = √-1=-1^1/2×4×1/4=-1^2×1/4=-(-1^1/2)^1/4=1^1/4="+1" or "-1". Hence there is no imaginary number

The solution to the Riemann Hypothesis will almost certainly be found by a lone genius, like Andrew Wiles (Fermat's Last Theorem), working in secret, bringing together several seemingly unrelated branches of math. That's the beauty of it.

SADNESS OF MATH YET TO PROVE IT'S ALL IN RETURNING OF JESUS

I believe I have solved it. And yes the proof is as beautiful and mystifying as the problem.

This is proved

I might be wrong, but this could work: kzfaq.info/get/bejne/htyFpcWh2L6-fIk.html P.S. A piece of advice: make video 1.5 faster, I speak very slowly)

It is solved by an indian 4 days ago

The answer to the Riemann Hypothesis is Infinity. Infinity times infinity equals infinity to the power of infinity. Infinity squared equals infinity to the power of infinity. If 2 is a prime then so is infinity. You are all welcome.

I solved it already. -2x+iy+ai+c=0 Quadratic function of Decimal will never give you the imaginary integral Value of ZERO(0). A summation of something can mathematically NEVER Equal (=) equal... Trust me I failed Alegebra 1 &2...25 zeros will lower the average but the 25th primordial number in the first 100 of the Number Matrix is 97... So I technically got an A+ not a 37% ( another prime number) but we live in a Matriarchy full of bitchness and emotions. So fuck em

I like the show but there were many too commercials so I turned it off and unsubscribed.

I think I solved it... The line x=1/2 is not x=1/2 in reality... It is an optical illusion and mistake on Riemann's part imho. Why? You have to imagine that line as frontier between two worlds: world of existing numbers and world of non-existing (imaginary) numbers. You have to change your mindset and stop looking at imaginary numbers as numbers but as something that does not exist at all. As for complex numbers, they are something like hypercube = picture/shadow of two totally different worlds meeting each other. From existing numbers' point of view, the line is x=0 because everything that equals to 0 and less does not exist!!! From non-existing numbers point of view, the line is x>0 because everything bigger than 0 exists!!!.... In reality, negative numbers do NOT exist. You cannot draw -1m2 in 2D plane, for example. That is why root of -1 does not exist either. The frontier is exactly x=1/2 because [(any x>0)+0]/2 = 1/2x => It is average/mean/equilibrium of those two worlds, let's say. Equilibrium that does not exist in reality and is relative to each world. Anyway, back to my reasoning before you are too confused: Every number lying to the right of this line (depicted as x=1/2 in the video) does exist and can be divided and is NOT a prime number... All numbers lying to the left of this line do NOT exist and therefore cannot be divided. They are imaginary numbers. The numbers lying exactly on the X=0 (which is called x=1/2 in the video) are prime numbers BECAUSE the X-axis (from existing numbers' POV) represents a total sum of possible numbers by which a certain (natural) number can be divided by and which are not equal to 1 or the original number... That is why the circles are growing bigger and bigger over time when you are increasing the input constant... It is increasing in volume/diameter over time because the total number of numbers that can be used for division of certain real numbers is increasing, too. And that is why all negative numbers will return trivial zeroes. Those trivial zeroes for negative input constants say: hi, you can divide me exactly 0 times because I do not exist. Conclusion: only prime numbers can be positioned on the line x=1/2 because all other numbers would be either placed to the right or to the left from this line. Non-prime numbers CANNOT be positioned on X=1/2 line. That is impossible... And why X is equal exactly to 1/2 according to Riemann?? Because exactly one half of the equation he uses represents existing numbers while the other half represents non-existing (imaginary) numbers. One could say it is one half because there are either existing states in our universe (1s) or non-existing states (0s). And (1 + 0)/2 = 1/2. That is why. Previously, I said x=1/2 is an optical illusion. I said that because there are only two states of existence in the universe, not three (0,1,1/2). I personally believe my theory can be used in quantum physics too, I guess... Why? Because according to quantum physics some subatomic particles can exist in two states simultaneously. Not always though! And this is why prime numbers are important!! I would bet my left nut that mathematical probability or time these particles spend in both states simultaneously is (in %) equal to ratio of prime numbers vs. other natural numbers. BAM!! And that is why prime numbers are fundamental to our universe and need to exist. lol Here you go, take this proof to some university and buy something nice for the million bucks. I will be happy for you. :) Radovan Hrubý, Brno, Czech Republic

Indian aryabhatta is invent all infinity sum problems and also trigonometry value of pi mathematical rules and other this all stolen by arebians and other countries