What is the practical point with any of this besides mental juggling? What are the examples in the real world and sciences where this does something significant, profound and exposes greater truths or accuracy in any tangible industry or empirical environment?
@miloszforman62708 сағат бұрын
None. What do you mean with "examples in the real world and sciences"? What sciences? These are all vain. "But of the tree of knowledge thou shalt not eat of it", says God.
@devanshgupta7942 күн бұрын
2:58 Ok so i saw 11, 23, 47 Then 233 and 467 Then 3779 and 7559 Ohh so its 2n+1 type thing, But pretty inconsistent because we have 47 then 101 So its not that good
@tkyntola4 күн бұрын
Interesting stuff! Just one advice, know your audience. There will not be a viewer who makes it 5 minutes into the video and doesn't know what a logarithmic scale is.
@Holasiquetal4 күн бұрын
Pure dope
@vk8a88 күн бұрын
huh?
@jan_Eten9 күн бұрын
10-adic numbers can be þought of as being in negadecimal (base -10)
@abehankens745610 күн бұрын
this is the same channel that made the prime factory video! these videos are so high-quality and in-depth and easy to follow its crazy! thank you so much for making these!
@andrewpinedo188310 күн бұрын
Desmos: Nuh uh
@proteuswave10 күн бұрын
Fantastic! thank you for sharing this video.
@googleyoutubechannel855412 күн бұрын
When will mathematicians admit that math notation is hot garbage and we should start over? The only reason any of you were remotely interested in this is that you think math notation is somehow indicative of 'solving' anything, and you think that the history of ignoring that information and processing, yes they're real, you can't just 'yadda yadda' infinite calculation no matter how many blackboards you scribble sideways 8s on... and then you realize that this 'formula' is just a ridiculous way to write a dumb prime checker.
@nokhinsiu721012 күн бұрын
When j is prime the output is also odd
@shibendrasingh290713 күн бұрын
How about going for asymptotic results of the given formula?
@Bolpat14 күн бұрын
Now let's do FizzBuzz in this programming language.
@PaperBoat-oz3hb15 күн бұрын
Show this to the people who say "But 1 billion is a huge number"
@bookaabookaa944616 күн бұрын
change to C(n)=lcm(n,C(n-1)) is better. And you will find its obvious. This does not need not any provement. If lcm(n, product of 1 to n-1) is n itself, then n is not a prime. Otherwise, it must be a prime.
@faruknane16 күн бұрын
It looks like bulshit
@Im_Rainrot12 күн бұрын
Instinct tells us the unknown is a threat, instead of an opportunity
@aprilbrandon344117 күн бұрын
Math is so cool
@user-yo4pp7vu3y18 күн бұрын
that was great! thank you :)
@chandranisahanone18 күн бұрын
The joddest proof I have ever seen on prime numbers🗿🗿🗿🗿🖤
@braineaterzombie398121 күн бұрын
Damn such a cool formula , such a shame its too inefficient
@STEAMerBear24 күн бұрын
So, class, have I convinced you of the practical value of table lookup yet? The smallest EEPROM chip on sale today can instantly return vastly more primes than this clever method can find one-at-a-time in a reasonable amount of time. (Of course MUCH larger tables are available for free online, but that depends on connectivity which is an imperfect technical situation.) [At one time I could buy such a table as a chip or a USB drive, but Amazon’s “service” makes searching for it basically impossible-great naming strategy there Bezos (I thought you were a trained engineer bro).]
@Rodrigoviverosa26 күн бұрын
useless... but better than all our non-existing formula :)
@yetclerck26 күн бұрын
Observe como são parecidas, mas com finalidades diferentes. Uma quer saber qual é o proximo primo e outra quer saber se o inteiro é primo. Veja: yet-clerk.blogspot.com/2024/04/teorema-complementar-dos-numeros.html
@wujing34627 күн бұрын
Wow, this is so cool to create primes, despite primes having no pattern
@Ryuko1528 күн бұрын
this is how i exactly planned to produce prime numbers before lol
@wernergamper6200Ай бұрын
This is purely evil.
@carloingravallobaАй бұрын
Perhaps this one about the author can help you:[url]www.theoremoftheday.org/Resources/LinkNeeded.htm
@user-yt2kv8tg4oАй бұрын
60²=4160
@neilgerace355Ай бұрын
Maybe Willans is several people, like Nicholas Bourbaki.
@MasterMindmarsАй бұрын
I think using a quantum computer, this formula is very usefull.
@jupitahrАй бұрын
When i put the prime counting formula (the one in the denominator of the big fraction) into desmos AND geogebra, they both stop at 7 primes, why?
@EchoesOfArsonАй бұрын
As someone with zero knowledge of math after and including calculus, I found these explanations were really easy to follow! Really good explanation!
@elnico5623Ай бұрын
The floor functions are doing a LOT of hard work here
@GERARD590Ай бұрын
Can't you just take the nth root instead of raising it to 1/n? Also (cos(any value))² is just cos²(any value)
@EricRowlandАй бұрын
Yes, those are different notations for the same operation.
@draido-devАй бұрын
noticed this pattern while solving project euler #443, lovely video!
@runway4970Ай бұрын
I love the fact this is a thing that somehow make sense
@soyezegamingАй бұрын
1 is the 0th prime
@kroon275Ай бұрын
Its like theres a secret language in maths that we are just learning about but dont quite understand. Maybe intelligences far greater than ours are waiting for us to crack the code before they come say hi or something lol
@miloszforman6270Ай бұрын
There is nothing secret about math, or is it? Unfortunaly, it tends to get complicated at some point so that many cannot follow pace. But that's the same in technological fields, and worse in physics.
@jamesmoore8994Ай бұрын
The exact equations that define the Prime Number Sequence were found and proven 11 years ago: kzread.info/dash/bejne/dHiJ2JKEqs27npc.html
@robotech25662 ай бұрын
10:15 what i see on the other hand is 203-201=3-1, 209-203=7-1, 219-209=11-1,221-219=3-1..
@kpaasial2 ай бұрын
0:44 Just sum together 2^1000 terms to get the 1000th prime number. It shouldn't take that long, right?
@debmalyalodh12 ай бұрын
Welcome back
@susa47272 ай бұрын
Great video and explanation, loved it. I'm a mechanical engineer but I also love computer science and math so this video was perfect for me
@JeremyCaron2 ай бұрын
That's not a formula, that's a program
@gigachad68442 ай бұрын
Can't we use Sieve of Eratosthenes instead for prime detection?
@heathertilton30562 ай бұрын
1/3=⅓=0.33333333333
@miloszforman62702 ай бұрын
No. 0.33333333333 = 1/3 - 1/300000000000 according to "Windows Calculator" (calc.exe).
@heathertilton30562 ай бұрын
1÷∞=0.00000000000000000000...1 there is infinity zeros
@miloszforman62702 ай бұрын
Are there numbers which have a decimal expansion with infinitely many zeros, followed by a 1?
@Honorary_Redneck2 ай бұрын
Alternate/parallel/multi universes require zero actual evidence but are treated as a forgone conclusion..cause math can literally be made to say anything you like.
@d.paradyss87912 ай бұрын
Exacto
@Honorary_Redneck2 ай бұрын
However IF other universes existed they would still be bound by the law of conservation of energy and so there would not be a lot and they would be temporary.. constantly being recycled into either new universes or a prime universe. I.e. Parallel universes would exist long enough to solidify the events that caused them with their prime being the constant. This would explain "Mandela effects" as the prime universe and parallel universe balance when recombined. The reason people would even remember events differently is because the core memory of humans is extra spacial via the pituitary gland.. information (can't be destroyed) is thus superpositioned and thus outside the "rewrite" function of universe recombination. This storage of information outside time-space via superposition allows echos of alternate events to be accessed
@d.paradyss87912 ай бұрын
@@Honorary_Redneck Tengo algunas teorías algo diferentes pero aprecio profundamente tu punto de vista, podríamos contactar por algún sitio para conversar?
@uggupuggu2 ай бұрын
how is ...4444+1=0? 14:59
@miloszforman62702 ай бұрын
In the 5-adic numbers, or even in standard numbers denoted in base-5, we have 4 + 1 = 10. - Did you even notice that 14:59 handles the case of 5-adics?
@-PeterAndrewNamoraMarpaung2 ай бұрын
C.P Willans = Calculating primes Willans
@henrikljungstrand20362 ай бұрын
The floor function is not a continuous function for real numbers. Therefore it is to be expected not to work properly in any algorithmic implementation for non-integer rational or floating point numbers close enough to an integer.
Пікірлер
What is the practical point with any of this besides mental juggling? What are the examples in the real world and sciences where this does something significant, profound and exposes greater truths or accuracy in any tangible industry or empirical environment?
None. What do you mean with "examples in the real world and sciences"? What sciences? These are all vain. "But of the tree of knowledge thou shalt not eat of it", says God.
2:58 Ok so i saw 11, 23, 47 Then 233 and 467 Then 3779 and 7559 Ohh so its 2n+1 type thing, But pretty inconsistent because we have 47 then 101 So its not that good
Interesting stuff! Just one advice, know your audience. There will not be a viewer who makes it 5 minutes into the video and doesn't know what a logarithmic scale is.
Pure dope
huh?
10-adic numbers can be þought of as being in negadecimal (base -10)
this is the same channel that made the prime factory video! these videos are so high-quality and in-depth and easy to follow its crazy! thank you so much for making these!
Desmos: Nuh uh
Fantastic! thank you for sharing this video.
When will mathematicians admit that math notation is hot garbage and we should start over? The only reason any of you were remotely interested in this is that you think math notation is somehow indicative of 'solving' anything, and you think that the history of ignoring that information and processing, yes they're real, you can't just 'yadda yadda' infinite calculation no matter how many blackboards you scribble sideways 8s on... and then you realize that this 'formula' is just a ridiculous way to write a dumb prime checker.
When j is prime the output is also odd
How about going for asymptotic results of the given formula?
Now let's do FizzBuzz in this programming language.
Show this to the people who say "But 1 billion is a huge number"
change to C(n)=lcm(n,C(n-1)) is better. And you will find its obvious. This does not need not any provement. If lcm(n, product of 1 to n-1) is n itself, then n is not a prime. Otherwise, it must be a prime.
It looks like bulshit
Instinct tells us the unknown is a threat, instead of an opportunity
Math is so cool
that was great! thank you :)
The joddest proof I have ever seen on prime numbers🗿🗿🗿🗿🖤
Damn such a cool formula , such a shame its too inefficient
So, class, have I convinced you of the practical value of table lookup yet? The smallest EEPROM chip on sale today can instantly return vastly more primes than this clever method can find one-at-a-time in a reasonable amount of time. (Of course MUCH larger tables are available for free online, but that depends on connectivity which is an imperfect technical situation.) [At one time I could buy such a table as a chip or a USB drive, but Amazon’s “service” makes searching for it basically impossible-great naming strategy there Bezos (I thought you were a trained engineer bro).]
useless... but better than all our non-existing formula :)
Observe como são parecidas, mas com finalidades diferentes. Uma quer saber qual é o proximo primo e outra quer saber se o inteiro é primo. Veja: yet-clerk.blogspot.com/2024/04/teorema-complementar-dos-numeros.html
Wow, this is so cool to create primes, despite primes having no pattern
this is how i exactly planned to produce prime numbers before lol
This is purely evil.
Perhaps this one about the author can help you:[url]www.theoremoftheday.org/Resources/LinkNeeded.htm
60²=4160
Maybe Willans is several people, like Nicholas Bourbaki.
I think using a quantum computer, this formula is very usefull.
When i put the prime counting formula (the one in the denominator of the big fraction) into desmos AND geogebra, they both stop at 7 primes, why?
As someone with zero knowledge of math after and including calculus, I found these explanations were really easy to follow! Really good explanation!
The floor functions are doing a LOT of hard work here
Can't you just take the nth root instead of raising it to 1/n? Also (cos(any value))² is just cos²(any value)
Yes, those are different notations for the same operation.
noticed this pattern while solving project euler #443, lovely video!
I love the fact this is a thing that somehow make sense
1 is the 0th prime
Its like theres a secret language in maths that we are just learning about but dont quite understand. Maybe intelligences far greater than ours are waiting for us to crack the code before they come say hi or something lol
There is nothing secret about math, or is it? Unfortunaly, it tends to get complicated at some point so that many cannot follow pace. But that's the same in technological fields, and worse in physics.
The exact equations that define the Prime Number Sequence were found and proven 11 years ago: kzread.info/dash/bejne/dHiJ2JKEqs27npc.html
10:15 what i see on the other hand is 203-201=3-1, 209-203=7-1, 219-209=11-1,221-219=3-1..
0:44 Just sum together 2^1000 terms to get the 1000th prime number. It shouldn't take that long, right?
Welcome back
Great video and explanation, loved it. I'm a mechanical engineer but I also love computer science and math so this video was perfect for me
That's not a formula, that's a program
Can't we use Sieve of Eratosthenes instead for prime detection?
1/3=⅓=0.33333333333
No. 0.33333333333 = 1/3 - 1/300000000000 according to "Windows Calculator" (calc.exe).
1÷∞=0.00000000000000000000...1 there is infinity zeros
Are there numbers which have a decimal expansion with infinitely many zeros, followed by a 1?
Alternate/parallel/multi universes require zero actual evidence but are treated as a forgone conclusion..cause math can literally be made to say anything you like.
Exacto
However IF other universes existed they would still be bound by the law of conservation of energy and so there would not be a lot and they would be temporary.. constantly being recycled into either new universes or a prime universe. I.e. Parallel universes would exist long enough to solidify the events that caused them with their prime being the constant. This would explain "Mandela effects" as the prime universe and parallel universe balance when recombined. The reason people would even remember events differently is because the core memory of humans is extra spacial via the pituitary gland.. information (can't be destroyed) is thus superpositioned and thus outside the "rewrite" function of universe recombination. This storage of information outside time-space via superposition allows echos of alternate events to be accessed
@@Honorary_Redneck Tengo algunas teorías algo diferentes pero aprecio profundamente tu punto de vista, podríamos contactar por algún sitio para conversar?
how is ...4444+1=0? 14:59
In the 5-adic numbers, or even in standard numbers denoted in base-5, we have 4 + 1 = 10. - Did you even notice that 14:59 handles the case of 5-adics?
C.P Willans = Calculating primes Willans
The floor function is not a continuous function for real numbers. Therefore it is to be expected not to work properly in any algorithmic implementation for non-integer rational or floating point numbers close enough to an integer.