As I think about it. There is technically a must simpler solution to this problem.
@Nobody_1142 сағат бұрын
why is this important?
@smoceany94789 сағат бұрын
3:08, pretty sure 1 is possible
@gervas..45799 сағат бұрын
Square numbers are 4, 9, 16, 25. Those are the min and max the sum of two numbers in the series we can add to get those square numbers Trial and error And vuwala 8 + 1 + 15 + 10 + 6 + 3 + 13 + 12 + 4 + 5 + 11 + 14 + 2 + 7 + 9 Please comment if im wrong
@gervas..457910 сағат бұрын
This is a series and sequence tyle of question, just use aritmetic pattern
@Zayka00713 сағат бұрын
Sometimes I find that these kind of problems shouldn't exist because I don't see the purpose behind them, it's like looking for weird records achieved by a certain players, for example, player X from country Y has scored a goal against Z after the eclipse of 2024 while he has an injured leg in the stadium that just have been renovated....
@schoktra13 сағат бұрын
@9:40 interesting how shift(4s,-2) creates a sequence in which the first 7 numbers are immediately repeated backwards thus making a 14 number long palindrome of results.
@rasputozen17 сағат бұрын
I appreciate the explanation at the end for why the ninja-pairs weren't derived. That said, do you really think there isn't a human-comprehensible line of reasoning to understand their derivation?
@АВС20 сағат бұрын
very cool
@TymexComputing20 сағат бұрын
Nice one - but what happened in 26:23 to the violet 30?
@joseantoniogarcia-trevijan386421 сағат бұрын
But 1 should be ticked green
@ObsidianMonarch23 сағат бұрын
Insultingly a Chick-fil-A add popped up when I clicked on the video in question... if people were thinking for themselves they would see this for what it is.
@philiprea8540Күн бұрын
beautiful
@deleted-somethingКүн бұрын
wow!
@geoffstricklerКүн бұрын
It’s a great proof, explained in a very accessible way.
@LesslyPointКүн бұрын
This is great!
@raresaturn2 күн бұрын
You didn't explain how to find zeros
@Antagon6663 күн бұрын
Hmm wouldn't proof by diagonalization be possible?
@jcdavid19743 күн бұрын
and who formulated the second equation
@jcdavid19743 күн бұрын
COuld you please explain the process by which you went from the integration operation to the 1/root cosine (lnx-arctan) operation
@jcdavid19744 күн бұрын
How can this video be referenced in a presentation?
@soulsand42875 күн бұрын
I wasn't expecting the 2.7 so early
@zdenekpavlas35667 күн бұрын
Since i^2=-1, i and -i are actually defined to be the same number. Complex plane is a half-plane.
@godfreytomlinson228213 күн бұрын
You're a good guy Hexagon. Don't let anyone tell you otherwise.
@goldenminecart16 күн бұрын
noise be like: mmMmMMMmmmMMMMMmmmmMMMMmmMMMMMm
@lawrencenash435119 күн бұрын
have we tried to disprove it
@4115steve21 күн бұрын
does this mean there is an absolute infinity like there is an absolute 0 degrees? if 1 can be infinitly divided does that mean that 1 is infinity
@adoraswift429822 күн бұрын
19:47 why do we only care about how fast it grows
@samueldeandrade853523 күн бұрын
Man, this video is perfection ...
@obsolesced27 күн бұрын
Somehow it wasn't obvious that an integer point can always be captured by a hyperbola with an integer numerator until I thought more about it. Also that all integer points below a hyperbola will be captured by hyperbolas with smaller integer numerators..
@VideoFunForAllАй бұрын
Math video of the year. Finally someone who explains the big deal!
@francoislechampi2002Ай бұрын
Hi Hexagon, I have to go after watching untill 16:54 but I will come back to watch the rest. I want to congratulate you on this beautiful work. I already watched several videos on the Riemann Zeta function but you managed to push it a little further so we lay people can understand it more deeply. Thank You so much and here is my thumb up before I see the remaining part.
@nathanevans6277Ай бұрын
Best Zeta explainer yet. 👍
@dcterr1Ай бұрын
Wow, this is a truly amazing proof! It reminds me of a very complicated outline of a proof I once saw for the existence of a Turing machine in Conway's Game of Life.
@SenChandanАй бұрын
In ancient times, Eratosthenes' sieve did shine, A mathematical marvel, a treasure divine. With keen insight, he sieved primes apart, Unveiling patterns with his intellectual art. Through the ages, his legacy held tight, Guiding minds to realms of mathematical light. In numbers vast, his sieve did gleam, Revealing primes like a radiant dream. And in the depths of Riemann's mind did stir, A converter of primes, a theorem so pure. With zeta's function, he charted the way, To understand primes in a mystical array. Through complex contours and analytic finesse, He probed the depths of the number's caress. In Riemann's realm, the primes did unfold, In a dance of zeros, a story untold. So let us honor these mathematical sages, Whose brilliance echoes through the ages. In Eratosthenes' sieve and Riemann's converter, Lies the beauty of numbers, forever and ever.
@SenChandanАй бұрын
In mathematics' realm, where numbers align, Euler's number and primes intertwine, A dance of elegance, in cosmic design, A link profound, in numbers' shrine. Euler's number, e, a transcendental star, Constant and infinite, stretching far, In exponential growth, it sets the bar, A mathematical gem, seen from afar. Prime numbers, guardians of the math domain, Indivisible, their unique refrain, Unraveling patterns, with every gain, Infinite in number, yet their essence plain. But what's the link, in this cosmic dance? Euler's number and primes, in a trance, A connection subtle, yet in clear expanse, In number theory's realm, they enhance. Euler's identity, a key to behold, E^iπ + 1 = 0, in numbers bold, A formula profound, in mysteries untold, Where e, i, π, primes' secrets unfold. Complex numbers and their roots abide, In Euler's realm, where mysteries reside, Primes emerge, in patterns implied, Euler's number, their essence allied. In the dance of primes, Euler's number gleams, A link unseen, in mathematical dreams, In the tapestry of numbers, where beauty teems, Euler's number and primes, forever beams.
@kristofferrobinhaug8029Ай бұрын
That's numberwang!
@EatScrabbleGooАй бұрын
what paper did you get the riemann converter from?
@Geek37664Ай бұрын
You are the Arnold Schwarzenegger of math…wonderful presentation.
@mistafizz5195Ай бұрын
Great channel
@beaumatthews6411Ай бұрын
I LOVE YOUR LOGO, I LITERALLY DREW THIS WHILE I was working at Mathnasium! 1/6 + 1/3 + 1/2 = 1!!!
@zachdetert1121Ай бұрын
This is amazing! Hands down best video on the topic I've seen (and that means better than 3b1b which is saying something!)
@user-eh9ty1yb1hАй бұрын
"you certainly have the right to be mad at me for just claiming I exist without any explanation" 🤣
@enlongchiou2 ай бұрын
1,(2),3,(2*2) have p(4)=4-(4-0)*(1/2)=4*(1/2) + mod(4,2)/2 + 1 -1=2 from traditional sieve of prime, + 1 for 2 when sieve of 2 we take it out so plus 1 put it back -1 for 1 is not a prime number, mod(4,2)/2=0 for sieve of 2 do not have remainder at 4, between 2^2 =4 to 3^2-1=8 use sieve of 2 only, add sieve of 3 start at 3^2, because sieve of 6=2*3 been use by sieve of 2,3 twice must add one of sieve of 6 back p(3^2)=9*(2-1)*(3-1)/(2*3) + (1/2-3/6+0/3) + 2-1=4=9- (9-1)/2 - (9-0)/3 +(9-3)/6+1=9-4-3+1+1=4.
@mrmrigank71542 ай бұрын
watched couple of minutes and I am already loving it.
@markwrede88782 ай бұрын
The Riemann Zeta Function gives the sine value for all X to the limit of the last prime to give a novel sequential difference to its predecessor. The sequential differences available among integers is finite, and so the completed finite function will solve for all factors of X without limit, excepting only 2.
@wesso272 ай бұрын
Amazing video! Always amazed by the beauties of mathematics
Пікірлер
As I think about it. There is technically a must simpler solution to this problem.
why is this important?
3:08, pretty sure 1 is possible
Square numbers are 4, 9, 16, 25. Those are the min and max the sum of two numbers in the series we can add to get those square numbers Trial and error And vuwala 8 + 1 + 15 + 10 + 6 + 3 + 13 + 12 + 4 + 5 + 11 + 14 + 2 + 7 + 9 Please comment if im wrong
This is a series and sequence tyle of question, just use aritmetic pattern
Sometimes I find that these kind of problems shouldn't exist because I don't see the purpose behind them, it's like looking for weird records achieved by a certain players, for example, player X from country Y has scored a goal against Z after the eclipse of 2024 while he has an injured leg in the stadium that just have been renovated....
@9:40 interesting how shift(4s,-2) creates a sequence in which the first 7 numbers are immediately repeated backwards thus making a 14 number long palindrome of results.
I appreciate the explanation at the end for why the ninja-pairs weren't derived. That said, do you really think there isn't a human-comprehensible line of reasoning to understand their derivation?
very cool
Nice one - but what happened in 26:23 to the violet 30?
But 1 should be ticked green
Insultingly a Chick-fil-A add popped up when I clicked on the video in question... if people were thinking for themselves they would see this for what it is.
beautiful
wow!
It’s a great proof, explained in a very accessible way.
This is great!
You didn't explain how to find zeros
Hmm wouldn't proof by diagonalization be possible?
and who formulated the second equation
COuld you please explain the process by which you went from the integration operation to the 1/root cosine (lnx-arctan) operation
How can this video be referenced in a presentation?
I wasn't expecting the 2.7 so early
Since i^2=-1, i and -i are actually defined to be the same number. Complex plane is a half-plane.
You're a good guy Hexagon. Don't let anyone tell you otherwise.
noise be like: mmMmMMMmmmMMMMMmmmmMMMMmmMMMMMm
have we tried to disprove it
does this mean there is an absolute infinity like there is an absolute 0 degrees? if 1 can be infinitly divided does that mean that 1 is infinity
19:47 why do we only care about how fast it grows
Man, this video is perfection ...
Somehow it wasn't obvious that an integer point can always be captured by a hyperbola with an integer numerator until I thought more about it. Also that all integer points below a hyperbola will be captured by hyperbolas with smaller integer numerators..
Math video of the year. Finally someone who explains the big deal!
Hi Hexagon, I have to go after watching untill 16:54 but I will come back to watch the rest. I want to congratulate you on this beautiful work. I already watched several videos on the Riemann Zeta function but you managed to push it a little further so we lay people can understand it more deeply. Thank You so much and here is my thumb up before I see the remaining part.
Best Zeta explainer yet. 👍
Wow, this is a truly amazing proof! It reminds me of a very complicated outline of a proof I once saw for the existence of a Turing machine in Conway's Game of Life.
In ancient times, Eratosthenes' sieve did shine, A mathematical marvel, a treasure divine. With keen insight, he sieved primes apart, Unveiling patterns with his intellectual art. Through the ages, his legacy held tight, Guiding minds to realms of mathematical light. In numbers vast, his sieve did gleam, Revealing primes like a radiant dream. And in the depths of Riemann's mind did stir, A converter of primes, a theorem so pure. With zeta's function, he charted the way, To understand primes in a mystical array. Through complex contours and analytic finesse, He probed the depths of the number's caress. In Riemann's realm, the primes did unfold, In a dance of zeros, a story untold. So let us honor these mathematical sages, Whose brilliance echoes through the ages. In Eratosthenes' sieve and Riemann's converter, Lies the beauty of numbers, forever and ever.
In mathematics' realm, where numbers align, Euler's number and primes intertwine, A dance of elegance, in cosmic design, A link profound, in numbers' shrine. Euler's number, e, a transcendental star, Constant and infinite, stretching far, In exponential growth, it sets the bar, A mathematical gem, seen from afar. Prime numbers, guardians of the math domain, Indivisible, their unique refrain, Unraveling patterns, with every gain, Infinite in number, yet their essence plain. But what's the link, in this cosmic dance? Euler's number and primes, in a trance, A connection subtle, yet in clear expanse, In number theory's realm, they enhance. Euler's identity, a key to behold, E^iπ + 1 = 0, in numbers bold, A formula profound, in mysteries untold, Where e, i, π, primes' secrets unfold. Complex numbers and their roots abide, In Euler's realm, where mysteries reside, Primes emerge, in patterns implied, Euler's number, their essence allied. In the dance of primes, Euler's number gleams, A link unseen, in mathematical dreams, In the tapestry of numbers, where beauty teems, Euler's number and primes, forever beams.
That's numberwang!
what paper did you get the riemann converter from?
You are the Arnold Schwarzenegger of math…wonderful presentation.
Great channel
I LOVE YOUR LOGO, I LITERALLY DREW THIS WHILE I was working at Mathnasium! 1/6 + 1/3 + 1/2 = 1!!!
This is amazing! Hands down best video on the topic I've seen (and that means better than 3b1b which is saying something!)
"you certainly have the right to be mad at me for just claiming I exist without any explanation" 🤣
1,(2),3,(2*2) have p(4)=4-(4-0)*(1/2)=4*(1/2) + mod(4,2)/2 + 1 -1=2 from traditional sieve of prime, + 1 for 2 when sieve of 2 we take it out so plus 1 put it back -1 for 1 is not a prime number, mod(4,2)/2=0 for sieve of 2 do not have remainder at 4, between 2^2 =4 to 3^2-1=8 use sieve of 2 only, add sieve of 3 start at 3^2, because sieve of 6=2*3 been use by sieve of 2,3 twice must add one of sieve of 6 back p(3^2)=9*(2-1)*(3-1)/(2*3) + (1/2-3/6+0/3) + 2-1=4=9- (9-1)/2 - (9-0)/3 +(9-3)/6+1=9-4-3+1+1=4.
watched couple of minutes and I am already loving it.
The Riemann Zeta Function gives the sine value for all X to the limit of the last prime to give a novel sequential difference to its predecessor. The sequential differences available among integers is finite, and so the completed finite function will solve for all factors of X without limit, excepting only 2.
Amazing video! Always amazed by the beauties of mathematics
FF-ing volume is WAY too low!!!!!
Reverse prime factory function function?
Wait no
Wait that's actually true I thought it was false
Excellent presentation.