The prime number theorem | Journey into cryptography | Computer Science | Khan Academy 

1:53 "of the first 1000 integers we find 1229 primes" *what*

this video should be nominated for oscar

This is absolutely amazing!!

Very clear explanations! Thanks!

Everything simple is beautiful.

This needs more attention.

Well explained...

Thank you, a Lot !

Here is an ontological premise that ive been developing based geometric and philosophical axioms. It follows: Below is a geometric paradigm of emanation. Before the beginning the One Is. ---This is Absolute Transcendent Reality. Monad In the beginning there is One.---This is Perfection, the Principle, The model for everything that is posterior. The One becomes 2 and remains One---This is The Ineffable Emenation/Powerthe fibonacci sequence startes like this. 1. 1. 2. 3. 5 ....... why 1. 1. and not 0 1... Because something cannot come from nothing and because 'nothing' does not exist(by definition). The first 1 is monad... all of existence as one thing, unmanifest 1 pure in the highest sense. The second one is the principle of self-similarity and is a perfect representation of the one as unmanifest potential. 2 is the manifestation of space/time. point.. line.. but is also a reflection 1 containing in it the essence and potential of 1. 3 is energy/matter manifest but unseen. 4 is the observed world, unreal and not in the fibonacci sequence. 5 is 1 and starts the spiral over The 2 becomes 3 and remains One ---This is Form ie substance/matter. Existence The 3 becomes 5 and remains One --.... An aggregation of multiplicity into Bieng... having 4 iterations, like the tetractus (10 is complete at 4) Thus coming back around the logarithmic spiral. The 5 becomes 8 and remains One. The 8 becomea 13.. 21..34..55..89..144.... and remains One In this way there is a Proportionality, Intrinsic Unity, and Harmony throughout All things that can be said to exist; allowing for Diifference(multiplicity) whilst preserving the Intrinsic Unity.

Amazing!

Vert good explanation thank you

Interesting!

amazing！！

Get off my ln()

very interesting stuff

thank you so much

so convincing

Wooow!!! I am seriously in love with maths.

Beautiful

Thanks

why is 'the natural logarithm of x' being vocalized as "Lon X"? I looooooooooooooooove this topic. the info is well-presented. but I swear - - math people talk weird sometimes.

so the spiral of prime numbers logarithmically results in a limit of pi% prime numbers inside any scaling area when the center is 0?

The music of the Prime Numbers, part 4, Solution. @Y1KU

Does anyone know what he uses to make those charts?

How did you realize that expansion?

At 4:55 I am thinking the true number that it is approaching is pi.

”first integers” should be replaced with “first positive integers” or talk about natural numbers. Given that there are countably infinite negative integers, it doesn’t make sense to say “the first 1000 integers” but rather “the first 1000 POSITIVE integers”

NICEE

Wow

I can't believe this vid has only less than 200k views

The sine get larger so they will drop like a reverse harmonic. (Lo Janus)

What is the practical usage of prime numbers and which people made a fortune from those?

Wow and i thought Bluebrown36 first presented this on RU-vid, but turns out this channel 6 years ahead, or really Bluebrown36 is 6 years behind

Does any 1 know what software generates these charts

Wouldn't this also work for finding how often the number 2 appears in the number line?

Misiec´s conjecture: Let x= 1/n*n^(1/2+n*2i) if n is a prime number then the sin(x)=x, and if not the number is not a prime number.

Wow, did not learn that even in school. Very interesting...

(Observational conjecture): Pi might be called "two-ness" because it is an actual ratio of separation from one-ness prime and duality, rationally, and the natural logarithm reverses the process, continuously. The therom superimposed the forward and reverse process of coordinated connection. (?) IMO I'm a total amateur but there seems to be millions of actual Mathematicians who could make a generalization of the idea? Ie, because primes and integers form related islands of consistency in a universe of natural logarithmic continuity, then there's a mathematical format for an hierarchical sequence of related constants (?) = "things as they are maybe"?

But do you know why kids love the taste of cinnamon toast crunch?

진짜 신기하네

If I give you ‘x’ say no of divisor and ‘k’ say no of prime number then can you tell me is it possible to find number having exactly x divisors and k of them are prime. My question is i have not need that number just can you tell me yes or no weather possible a number. How to approach this problem. I am in trouble after scratching head for 2 days I can’t figure out it plz help :)

The new finds in the field of prime numbers. The prime numbers form so-called nests of the prime numbers in the fourth dimensions. Please see the homepage www.number-galaxy.eu in the directory "news" and positions: 01.01.2020 3D bordered prime magic squares in world and antiworld configuration 03.02.2021 Projection 3D bordered prime magic squares on critical linie of Riemann zeta-function. This is completely new in the field of the Riemann hypothesis.

Let’s find primes in a methodic way : ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-4DoIpOk88q8.html

The equations that define the Prime Number Sequence were found and proven 11 years ago: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-BDUv0KzjUn4.html

Is there a possibility of prime numbers of getting zero beyond a certain region? As it is decreasing. I know I'm sounding very stupid

if the result was accurate then we could find any prime knowing how many primes are in some limit

Primzahlensatz von Carl Gauß

Good day, may I ask for permission to get some screenshots of your video tutorial on Prime Number Theory? We will just use it for our presentation about History and Philosophy of Mathematics.

Not using a log scale for the plots... That's a paddlin'

prime number

How can there be a percentage of something infinite as prime nos..

Its crazy how the golden ratio shows up everywhere.

Amukku dhumukku amal dhumal

One trillions is a small scale?

Great video, except you should not pronounce ln(x) as 'lawn x'. Nobody ever calls it that. It's 'the natural log of x'. Or, once it's understood, just 'log x'. Or L N of x..

Please keep in mind that some people , mostly males , are red green color blind.Hope this helps

I don't understand Numbers never end so prime numbers never end. So why does it slowly drop

I'm scared.

So what? What is the use of knowing how many prime numbers exist? I am not saying it is useless, but if this theory is useful at all it is better to mention it in the video.

I will be posting a video with my equation that will tell you if a number is prime. the equation has also some other nice benefits. Thanks everyone.

There is a very interesting recent research book that have miraculously answered almost all the questions concerning Prime numbers, it is available on Amazon by the name of: THE FORMULAS OF NONPRIMES REVEALING ALL THE PRIME NUMBERS

ln(x) is the natural logarithm of x or simply log of x (not LAWN - my lawn is the grass around my house !!!

That's 100 billion, chappy

Wow. Laaan x. Nice over-pronunciation...

wait wtf, how?

And just remember: The universe came about by chance.

I think that the problem is that at no point is it accurate. Simple?

You made a mistake saying 1229/1000 then showing 1229/10000

bruh why he sayin lawn

İ don't know but 100 trillion is not a small number. Am i only one who think that

I wonder if Jeff bezos knew about this 🤔

Is there a link to a video where the prime number theorem isnt a joke

Stop yelling at me!

is anyone else here because of Seventeen?!

Is this nonsense? What is the point?