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Fermat had a proof that would have fit in a wider margin, NOT a proof that barely fit in a huge, heavy and expensive book.

Wonderful! But I'm growing more and more concerned that the definition of a prime number includes the words: "Indivisible by any numbers except one and itself", when it is obvious that one and itself are not divisors of anything, since dividing means cutting into pieces, and no number is cut into pieces if it remains whole. Just sayin'...

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3G❤

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From Diana. That account is waiting for someone to check it out: (clean party soccer advance audit clean evil finish tonight involve whip action).

I like maths but not so sure about AI.

Quit pretending that numbers are this important.

it's interesting that with all the mass lay-offs going on at G-Research, that they have time and money to spend on such presentations.

I think you mfers rejected me a while back.

A difficult challenge is to be a smooth talker who does not say "um," "ah, etc." It is also good/necessary to take pauses at certain intervals in speaking and not be a motormouth.

Hi, James... I was on a project and needed to proof that mathematically. So, I learned of the Reimann Hypothesis and because I am an inventor I cannot just let it pass. I understand what conditions must be met to give infinite primes. The concept also has peculiar method for zero. But I have formulated a way to factor the product like the public key (RSA) into its primes. With a Casio handheld and a piece of paper. We all know that finding factors cannot be done on a Casio because it's limited to 2^332 or 10^99 at best. So, imagine 10^616. So, I tried to connect with RSA to kind of ask if that would influence their business. To be kind, no response from the parent company yet. So, you could say RSA has become obsolete. For a few months I post on LinkedIn that our time for quantum computing is not here yet. We need a new approach to mathematics. This concept implemented by a ML into an AI can solve complex mathematics without the need for a quantum computer. Prime gaps can be easily addressed with my concepts. While listening to you, I use x/logx for product of 2 primes. Not good approach, work well for small products but over 1000 to 10^45. This range around 10^45 is the range I use as if its 10^3 ... I'm looking for a mathematician that can put the proof for the Reimann Hypothesis together. You will understand it in a day. NB.. I am not a mathematician. I don't have time to figure out publishing. It's not FREE......it was in 2014

who is offering the $75,000?

Not a fan. There is a nice story that inspired this team to look at this, but guess it's really important to keep hold of as much credit as you can. Maybe it's because you don't deserve that much? If Tao tells this story he will be sure to credit the amateur mathematician who came up with the first original result about prime numbers in years. Sure he had some professional help to make his result rigorous but it was the amateur's idea. The result was roughly that you will always be able to find higher primes that differ by less than 40,000,000 I think. This was a totally new type of result and if we could lower this bound maybe all the way down to 2 it would be really cool. It is this amateur result that they have managed to lower to now 246. This story also make their result much easier to understand than the explanation in this video.

"Neither" is singular. You mean "...neither happens." This is a rather peculiar sort of thing for a numerologist to screw up, doncha think?

Wonderful, a great lecture and lecturer, a good man and a very good audience. I always enjoy complex problems, I absolutely understand none of, but a try always matches the absolutely none understanding of each. My amateur attempt The basics of the prime number concept, is to literally define the very end, limit, the very enclosure of and by a segment, line, sequence, set and so on or in terms of a system, even a complex one compiled of sub systems, without determining an end of ends, meaning a continuation which can have a practical measure which equals not in blah, ( i.e unusable). It signifies the very understood yet in this context often completely neglected and overlooked concept of none duplicality, not duplicity, but regarding the meaning of and by unique, with and within a set of consecutive sequence. The confusion arises from the fact that after (integer {times} integer) the duplicate meaning is neglected by and of having been turned into three, four, five and so on times integer, which means a literal almost identical side by side sequence of numbers exist to that sequence which has prime numbers, yet this one by and of being fundamentally a duplicate based sequenced one, having no possibility for and by any concept such concept as a prime number. [ In pure mathematics terms, upon the appearance of and by a prime integer, it's consequential times function demotes it to a not prime, but a segment which has any other next prime integer.] The confusion is more prevalent, once it is visually seen and understood, that such structure raises only of one number of and by the sequence which does have a prime number possibility, be it such number only a zero, and the way method is this.... Assume a horizontal sequential line of and by numbers from zero to infinity zero. Now assume an upward vertical axis line, as a times duplicate of and by any or each of the numbers on the horizontal line. Almost all of such vertical axis line sequences already have all of the numbers with and within the horizontal line, yet none is a prime number. (The difficulty of finding prime numbers has nothing to do with randomness, it is only a matter of the impracticality of fitting any very large number consecutive sequence into equally matching segments of and by duplicate set's, which leaves always one segment being not a duplicate, giving the end of and by a set without terminating the overall sequence, consequentially the prime number.) Assume a downward vertical axis line sequence of and by any or each of the horizontal line integer sequence, but in this case, still sticking to the duplicate meaning and concept, as a division instead of and by such horizontal line integer sequence. With and within this instance, not just an all possible horizontal line integer sequence is available, but the vertical upward sequences and a truly unprecedented combinations of and by sequences that do not and do corrispond to whole integers at all, exist simultaneously. A very easy way and method always available in order to literally be it as an understanding not just understand it, is to find ones self in a group of people. At such an instance according to practicality make use of any small stones, which in almost all circumstances either that or a similarity in matching does easily exist on planet earth. Give according to practicality any duplicate matching number of stones or similarity in matching to each one in the group, than ask ..... Does everyone have ...x amount of stones.... Assume in groping step by step the people as one in regards to the consequential sum stone's possessed by and of each, or the stones in regards to the consequential sum people possessing. Here is the signature, and it seems to be missed almost always by and of all that is regarding...... At a horizontal sequential line of integers from and by zero to infinity zero, with a vertical upward axis as a time's sequential line of and by each integer with and within the horizontal sequential line....... all the numbers appear way before each and all which do on the horizontal sequential line, in fact the appearance is so quick, that upon picking any number from and of the horizontal sequential line, the vertical upward axis as time's sequential line of and by each integers on the horizontal line, already has, not just the number, but a whole segment which the number belongs with and within and this only visualized at not very large numbers, once extremely large numbers are visualized, then light with and within it's speed, upon reaching it, it is already there, in fact it is past there, in fact it cannot reach it. Way and method more complex, meaning it requires an impossible act, one which almost everyone believes in being involved with and within, being none other than thinking, occurs on the vertical downward axis, where the sequential line of and by each integer on the horizontal line is from and of division instead of a consecutive or times function. At such an instance one finds it hard to figure out which is which in regards to the zero or Infinity zero, from and by each integer, unless one believes one is constantly thinking, and I cannot argue with constant thinking, in fact I don't want to, in fact I find it rude and one of the fundamental mental structures, which in terms of humanity destruction will play it's crucial part, manifestable physically, and spiritually attested after, as a current unknown in a present, yet not to the after.

¿Atoms? Perhaps the molecules or the proteins? Needs a better grasp of the sciences. Youngsters 😉

I find that listening and thinking about these types of problems has the same type of impact on my brain and emotions as a beautiful piece of music. I'm hopeful that when our brightest human minds in quantum computing start programming these types of problems into the next generation of computers, out will emerge the next level of beautiful patterns understandable by more and morepeople. And forward we continue marching. Great presentation. Thank you.

James Maynerd finds patterns, Maynard James finds patterns I guess its just all in the name

Very interesting video!

Thank You James Maynard for your lecture.

First

This man delivered a fascinating ÷Ïû×ÿ:ÿ]:ÿ]4ÿ½¿ó¯õÛ_ýÓÿ5

Why did he run away from analysis?

So maths is a domain, which has its own consistent language (with unprovably true statements) - in which you can express logic. The logic is abstract (compared to the physical world). I would take the view that logic must be more fundamental than our physical universe and laws because a logical process must have given rise to our physical universe - because if it wasn't logical, then it has no hope of ever being explained or understood. Given maths encompasses that physical abstraction layer that enabled the physical universe, it can describe all the physical laws but its also capable of describing all possible physicsl laws - in other words for all possible universes. One example is string theory. A great mathematical theory that describes some laws of physics - just maybe not for our particular universe.

The trouble with mathematics is that there are probably like 3 other people in the world who can peer review the work of these top mathematicians and actually understand what they are doing... lol

im glad mathematicians are finally standardizing and building repositories like programming does. up until recently it was chalk on a blackboard like in the 1700s. And I remember one time this guy was using phi to mean 3 different things all in the same formula.

2:38 I am applying for PhD programs in math later this year. RIP me.

I’m after retirement age with a Masters of Adult Education Degree. Could an AI career be attainable for me ?

The irony that the category of tools created to visually (GRAPHICALLY) display data relationships (especially terminology, taxonomy, ontology, etc.) was misbranded "graph databases" rather than "graphic databases" tells us much about the intellectual rigor of the data sciences in this broken kosmos... Thanks for the explainer.

선하게 쓰여야합니다.

Chess is NOT solved, sorry, please stay rigorous.

Thank you James. Very educational and to the point covering so much ground. As a kid growing up in UK with ZX81 and then the BBC Micro (where I really developed my programming skills learning BASIC) I had no idea of the Acorn connection to ARM. Brings a little smile to my face with that historical connection. You are spot on regarding RISCV if it succeeds at all , it will take a long time due to the solid developer community around ARM. One risk is translation layer between ARM and RISCV . Nivida's CUDA also gives it the same advantage over ROCm etc...

Exiting!

"empathising with the computer" ... that sounds so weired, and so profound at the same time, it will take me some time to digest this idea...

At 10:15 What Gowers suggest is precisely what is missing in many books and teaching. A definition is what "it does" and "does not" never what it is. Adding and removing constraints from a definition helps getting a proper grasp on it. Similarly ( dixit Polya) adding and removing from hypothesis or conclusion helps solving a problem/question/conjecture.

I was like what is Tom Cruise doing ?

He's iconic. His books were the first Data Science books I read and it helped me become a Data Scientist and later an ML Engineer

Such a noble job you guys are doing!

This was even before GPT 4.

Love Kevin. This is awesome

too much marketing

I'm some kind of fan of Martin Hairer.

They used women because men had jobs that were feeding/housing their families as the sole income earners. But hey, let's turn it into a misguided lecture on sexism - 2 minutes in.