+Mirage Uchiha -No-, it's: almost all numbers contain any one chosen digit. :P Intuitively obvious if one realizes that the longer the numbers are, the more digits they contain, and the more chance for a random huge number to contain your chosen digit. Bah, and yes, you're obviously right - when looked at it for more than five seconds I spent writing the comment - yes, almost all numbers contain any chosen number. Because infinity. :P
This doesnt make sense, i mean not what you said but what the video says. How can there be 3 in all the numbers based on the result being 1? If the result is 1 does it mean that the numbers which do not contain 3 is 0? Thats impossible because the sum of number which contain 3 and which do not contain 3 is supposed to be 1.
LotusEater Not in all numbers - in almost all, as in - the larger the number, the higher the probability that it contains 3, and it tends to 1. And it's the reverse - probability of a number not containing 3 tends to 0 as the number grows.
Tomasz Wota LOL how can the number not containing 3 tend to 0? there are always more numbers not containing 3 than there are numbers containing 3. Thats the whole point about the answer 1. That answer 1 is totally WRONG if the sum =1.
It sounds surprising at the beginning, but formulated the other way around it's more obvious: "the probability of any given number to NOT contain 3 goes toward zero".
ooooh yes, I was wondering how is it possible that the same thing applies to all numbers from 0-9, but this makes sense now haha, how come I didn't see that before
Now that you've rephrased it that way the whole thing is obvious. If you have a very large sequence of numbers (representing a big natural number), it would be quite surprising if there weren't a three there. As most natural numbers are really big ones, we can conclude the initial statement.
Except it doesn't, with the same logic the probability of any given number to NOT contain a 3 would be 1-(1/10)^n which tends towards 1 when n tends towards infinity. So with this logic, each number as a probability of 1 to contain AND to not contain a 3 when n goes towards infinity. But i think the whole point is the video was posted on the 1st of april.
@@debbiescott8520 Actually your logic does not hold. The probability of a large number not containing a 3 would be (9/10)^n, as each digit has a 9/10 chance of not being a 3. What you found is the probability of a number not containing only 3s, which does tend towards 1. While the nature of the video may have been that it's a silly sort of thing to prove, the mathematics of the proof are accurate.
Brown paper is so much better than a chalk board because you can save all your equations and then use it to wallpaper your bedroom. A chalk board just gets wiped off by some unknown entity like Mom or cleaning staff and then you have to do it all over again.
***** /s /s /s loool this is just sarcasm amirite guys /s /s I know it's hard to tell /s so if you can't read I got these cool markers for you /s /s /s /s
@The coo - king yeah I do know that half life is a game of it's own. I didn't know about people requesting portal 3 actually. I was just referring to the "half life 3 confirmed" meme that has been going around for quite some time
Seems intuitive. As the number of digits in your given number increases toward infinity, the probability that any specific numeral is left out approaches zero.
It's not a joke. The proof is accurate, just useless as all 10 digits share that property, along with any finite combination of them (no idea about infinite combinations).
@@tomekksiazek9007 *NOICE* I really wished for someone to continue the comment chain , thanks....but now that it can't be continued anymore , guess i should break it myself......very sad :(
Throughout the entire video i was thinking to myself "But wouldn't this work for all single digit numbers" and i was getting more and more worried they weren't going to cover it and then at the end i let out a sigh of relief
As a 999 addicted, I noticed something quite peculiar: the sum of all the digits (or digital root) of the numbers of 3 in each part always equals 1. - 1 is self explanatory, - 19 = 1+9 = 10 = 1+0 = 1 - 271 = 2+7+1 = 10 = 1+0 = 1 - 3439 = 3+4+3+9 = 19 = 1+9 = 10 = 1+0 = 1
This video is produced by numberphile. Numberphile = Number + phile. Phile = file. You use a file for long nails. Nails are made of metal. Metal is cold. So is antarctica. Penguins live in antarctica. Penguins are birds. So are mockingjays. Monkingjays are in the hunger games. Hunger is when you don't have enough to eat. All animals eat. Humans are animals. Suspicious? Humans are born with 300 bones. There was a movie called 300. It was based off of a war. War backwards is raw. Raw meat makes you sick. You throw up when you get sick. Throwing up is called vomiting. Vomit starts with v. V is the 22nd letter in the alphabet. 22 is a number. So is 6. This video is over 6 minutes long. This video explains facts about the number 3. There are 3 sides on a triangle. Pyramids are made of triangles. Pyramids were built a long time ago. THE ILLUMINATI WAS FOUNDED A LONG TIME AGO. illuminati confirmed m8
+airplanedude And nails aren't cold, they're just better conductors as they are made of iron, and so more quickly disperse the temperature of the nail with the approximately 20 degree warmer heat of your body giving the illusion of feeling a colder object because our perception of heat is flawed.
This video could be also relationed to the biggest unsolved pi problem: if pi is a normal number that is if there is all numbers contained in the digits of pi in any base not just systems of base 10.
gabriel passos actually, what Lorenzo Santi said is correct and more generalised. Because it would also be true that almost all numbers contain any digit sequence you can think of, not dist single digits.
3 is almost everywhere. Triangles have 3 angle. 1776 is divisible by 3. The British fought the Americans for 8 years during the revolution. 8 is 2 to the power of 3 Doritos have 3 angles HALF LIFE 3 CONFIRMED!!!!
endofscene Because nikola tesla was obsessed with the numbers 3, 6 and 9. he believed that that those numbers were VERY important, nobody knows why though. if you don't know who nikola tesla is you are probably an american brainwashed by edison propganda :)
Marko k if you don't know who nikola tesla is you are probably an american brainwashed by edison propganda :) is actually true, edison made up a huge amount of things during the "War of Currents"
Matthieu Houriet Oh, I see. Haha! Thanks. (I guess I should realize that, because in the USA, when we want to say that something is pointless, sometimes we say, "It's all for nought.")
Holly, his accent is so cool! Fun fact: Here in Brazil we say "porra nenhuma" when we want to refer to something that is equal (or even very close) to 0!
Yeah, and this is awesome!! There are some many numbers between zero and infinity that 100 per cent have all numbers, maybe Descartes was right when said about infinity...
Yeah, I think they went with 3 to grab our attention. You see, a lot of cultures have really strong, even mystical expectations for the number 3. It's my personal suspicion that this video was more of an exercise in playing with expectations, because, yes, obviously we can do this type of calculation for any single-digit number. :-D
It's rising toward 100% because of the lenght of number, and the higher probability that any digit in that number is 3 (or any other digit). Awesome video :)
Nuzlocke Adventures Lol where'd you learn to do math? You operated on the equation correctly in the first part: N-5/N=2 all the way to plugging it back in. Then you messed up with -5-5/-5=2, using your correct math from before, our equation becomes -5/-5 -5/-5= 2 and since -5/-5=1 our equation becomes 1+1=2 which is perfectly fine.
I learnt this in my math class, it's pretty much true. Probably posted on April 1st because it sounds so preposterous, but if you watch the video he shows the complete working out... It's funnier to see the people calling this a joke and not understanding the math /lh
Fight the powa this is where we get into countable versus uncountable infinity. It is not false that there are an infinite amount of whole numbers, because you can start counting at 1 (2,3,4,5...) and keep going forever. The thing is, there are an infinite amount of numbers between 1 and 2 (1.00...001, 1.00...002, etc.). The first is countable infinity, because as you count, you get closer to infinity, whereas with uncountable infinity, it will take you infinity-fold to even get to number 1.
It makes sense, the bigger numbers get the more numerical digits they share. 123,456,789 contains all the numerical digits in one number. It would be very rare for extremely large numbers not to have every numerical digit in them, just as it would be rare to have a string of 100 digits and not have every number in it.
*Proof that most numbers are infinite*: Pick any finite number, say 14. There are a finite number of numbers below 14, and an infinite number of numbers above 14. So, most numbers are larger than 14. But this is true of any given finite number. So, most numbers are larger than any given finite number. But if a number is larger than any given finite number, it's infinite. Therefore, most numbers are infinite. QED.
Mike Hunt Right, just replace "numbers" with "natural numbers" everywhere. Numbers can mean a lot of things...there are ordinals, imaginaries, surreals, quaternions...but it all begins with Peano's naturals.
Let me formulate your "proof" and then tell you why it's wrong. Conjecture; most positive integers are infinite Argument; take any C, (C in Z+), there are finitely many numbers in the interval ]0, C], but infinitely many numbers n>C. Because you can pick any finite number C all numbers are larger than C, thus infinite. My argument; if you pick any C (C in Z+) there is always an infinite amount of finite numbers larger than C. Proof: pick C (C in Z+), then make an infinite set [N], where all the elements are of the form C+n (C, n in Z+), for all finite C, n there are an infinite amount of members in [N]. In your proof you base your argument that "for any C (in Z+) there are an infinite amount of numbers n>C..." but all the numbers are still finite, and even tho this is true for all finite numbers that doesnt make n = infinity, it just means you add more integers. I know your proof was a funny example but anyways^^
Matti Kauppinen It relies on the vagueness of the english phrase "most numbers are larger than any given finite number". True: "For all X, (For most N, (N > X))" False: "For most N, (For all X, (N > X))" (lol)
what a horrid "proof." Euclid is rolling in his grave. "_here are a finite number of numbers below 14, and an infinite number of numbers above 14. ... But if a number is larger than any given finite number, it's infinite._" HAHAHAHHAHAHAHAHHAHAHAHHHAHAHAHHA. Infinite means there are *no* numbers greater than it.
The numbers mentioned in this video were: 1, 19, 271, and 3,439 The sum of the digits in each number equal 1. Example: 1 + 9 = 10; 1 + 0 = 1. Another example: 2 + 7 + 1 = 10; 1 + 0 = 1. One more example: 3 + 4 + 3 + 9 = 19; 1 + 9 = 10; 1 + 0 = 1. What a coincidence xD
BuildMeASnowmanBiatch All those numbers you listed have a remainder of 1 when dividing by 3. In fact, if you continually sum the digits of any number (as you did) and get to a number
Well, almost all numbers contain 42. Or 1234567. Almost all numbers contain my time off birth written as DDMMYYYYhhmmss. Yours, too, whoever is reading this comment. Almost all numbers contain the first million decimals of pi. Numberphile, you should have mentioned something like that, not just stop at one digit.
I thought this sounded a bit ridiculous, but then I realised when you start getting into larger and larger numbers, each number has a lot of digits. When you start tallying up numbers with 100 digits, what's the chance there'll be _no_ 3's? Very low. So most numbers with, say, 100 digits, will contain at least one of each number between 0 and 9.
I don't know why my previous comment was marked as spam, if, from the set of all integers, you pick a random number, it will infinitely long, so there is a 100% chance it will contain every single digit from 0-9.
oded khazon It is 100%. You can spend an infinite amount of time picking random numbers and you will never get a number that is missing a digit 0-9. It is like the set of all irrational numbers compared to the set of all integers. It can be shown that the set of irrational numbers is a larger infinity than the set of all integers. A larger infinity divided by a smaller one is infinity, so you have a 100% chance, if randomly picking from the set of all numbers, of picking an irrational number. BBC's Horizon program on infinity explains this well.
timl2k11 no, it will never get to 100% chance that you will pick a number with all 10 digits, or a certain one that you chose, as you could always pick 777777777777, while the certain digit you picked was 3, it will never get to 100%. the only way for it to happen is if you pick infinitly many times, and that just silly, because you could say: if i pick a random number infinitly many times, there is a 100% chance that ill pick a certain number, since ill pick a number so many times untill i get that number (and by so many times i mean i will never stop picking a number) and thats given you also have an infinite amount of time to do that. but about your first sentence, "you will never get a number that is missing a digit 0-9" there are plenty of those that you could pick randomly whether is is 55 or 42815769 (missing the digit 3) there are always numbers that don't have a certain digit, no matter how high you go, the only difference is that there are more and more numbers that don't miss a digit.
The amount of numbers containing a 1-0 will never reach 100 because the smaller a number is, the smaller the odds it contains each number. It's common sense. Eventually it could raach 99.9999999999999999999999999999999999999 etc. but never 100%
Wait. Think about it: This video was uploaded on April, which is the 4th month of the year, and it was uploaded on the year 2012. 20+12 = 32 32/4 = 8 8/4 = 2 It was uploaded on April 1st, therefore: 2+1 = 3 HALF-LIFE 3 CONFIRMED
That's a step too far even for me, though I did try it once. I got to 4096 and gave up. Oh, I did go higher on paper but it was part of trying to figure out binary.
I actually happen to have a piece of lined paper with all these powers of 2 just going up higher and higher and higher. I've gotten to, like, 30 or so digits per number. On the same sheet I also have the negative powers of 2 going lower and lower and lower.
Derrick Bonsell same here bud. specially when i look at license plates I have to make sure they divide by 3 and if so I try dividing that by 3 I honsstly think I was the only one who does this. someone tell me im not
Soooo basically, "Almost all numbers contain almost all numbers..."
+Mirage Uchiha Almost all numbers contain ink, toner or absence of light.
+Mirage Uchiha -No-, it's: almost all numbers contain any one chosen digit. :P Intuitively obvious if one realizes that the longer the numbers are, the more digits they contain, and the more chance for a random huge number to contain your chosen digit.
Bah, and yes, you're obviously right - when looked at it for more than five seconds I spent writing the comment - yes, almost all numbers contain any chosen number. Because infinity. :P
This doesnt make sense, i mean not what you said but what the video says.
How can there be 3 in all the numbers based on the result being 1? If the result is 1 does it mean that the numbers which do not contain 3 is 0? Thats impossible because the sum of number which contain 3 and which do not contain 3 is supposed to be 1.
LotusEater Not in all numbers - in almost all, as in - the larger the number, the higher the probability that it contains 3, and it tends to 1.
And it's the reverse - probability of a number not containing 3 tends to 0 as the number grows.
Tomasz Wota
LOL how can the number not containing 3 tend to 0? there are always more numbers not containing 3 than there are numbers containing 3.
Thats the whole point about the answer 1. That answer 1 is totally WRONG if the sum =1.
The combination of numbers 18492833949283792749192829323000023934823 is also in almost every integer. What a wonderful thing infinity is
This April fools joke got me too
+Sergio Cordova He's not wrong because infinity
infinity is wonderful OR mathematical profs are almost worthless.
Oh boy, you made my day!
That was the first thing come to my mind ;)
It sounds surprising at the beginning, but formulated the other way around it's more obvious: "the probability of any given number to NOT contain 3 goes toward zero".
ooooh yes, I was wondering how is it possible that the same thing applies to all numbers from 0-9, but this makes sense now haha, how come I didn't see that before
Now that you've rephrased it that way the whole thing is obvious. If you have a very large sequence of numbers (representing a big natural number), it would be quite surprising if there weren't a three there. As most natural numbers are really big ones, we can conclude the initial statement.
Except it doesn't, with the same logic the probability of any given number to NOT contain a 3 would be 1-(1/10)^n which tends towards 1 when n tends towards infinity. So with this logic, each number as a probability of 1 to contain AND to not contain a 3 when n goes towards infinity. But i think the whole point is the video was posted on the 1st of april.
@@debbiescott8520 Actually your logic does not hold. The probability of a large number not containing a 3 would be (9/10)^n, as each digit has a 9/10 chance of not being a 3. What you found is the probability of a number not containing only 3s, which does tend towards 1.
While the nature of the video may have been that it's a silly sort of thing to prove, the mathematics of the proof are accurate.
this video is literally "hmmm yes this floor here is made out of floor..."
33like
🤣🤣🤣🤣
This was on April first
@@vinos1629 i am aware.
Basically, he having a trip
Not only is 3 everywhere, but brown paper is too.
+314rft I like James' reason.
"He just thinks it sounds funnier"
lelelelel
Such a toilet joke.
Brown paper is so much better than a chalk board because you can save all your equations and then use it to wallpaper your bedroom. A chalk board just gets wiped off by some unknown entity like Mom or cleaning staff and then you have to do it all over again.
1.1kth like !
The number 3 is everywhere, exept at Valve
Lol
CeeDee Player Don't be so mean to Lord Gaben, just because he didn't get the same education as us doesn't mean you have to mock him /s
***** /s /s /s loool this is just sarcasm amirite guys /s /s I know it's hard to tell /s so if you can't read I got these cool markers for you /s /s /s
/s
Gentelmen Z
and many did too, just look by yourself
CeeDee Player I saw...
All I thought while watching this video... "but this should work for every number"....
aaaand during the end of the video I´m like.... "aaaaaaah"
OPEN MIND same here lol
OPEN MIND Exactly hahaha
OPEN MIND Me too!
33 LIKES .-.
+OPEN MIND Same Here
"He just thinks it sounds funnier"
I thought the number 3 had some special property or something...
Demyte D-1248 It’s funny because Valve can’t count to 3.
It’s funny because e = 3 = pi
@@purrplaysLE you mean e < 3 < π ?
@@SpiderMan-in9rl No. I think you probably don't know the Fundamental Theorem of Engineering. e = 3 = π. cos(x) = 1, sin(x) = 0.
@@VivekYadav-ds8oz lol
Also 3 is everywhere except at Valve
bruhh XD
Lol, well played.
Headshot!!!!
Monokite Daiiiim
Monokite You stole this!
3 is actually everywhere.
Except for one video game company in Bellevue, WA
explain?
@@leolaserbolt ima guess they are referring to half life
@The coo - king yeah I do know that half life is a game of it's own. I didn't know about people requesting portal 3 actually. I was just referring to the "half life 3 confirmed" meme that has been going around for quite some time
Funny valve jokes
Jokes on you they're making a three-quel
Sooooo everything is everywhere ?
Thats deep.
How do I pronounce your name?
as you see it
I'm ftom Slovakia
Shimon Kondrk ;)
Šimon Kondrk čus !
ahoj °-°
When he opened the calculator app, I felt that.
What..?
@@Sciencedoneright idk
d
@@Sciencedoneright Bruce is contained within the Cellular Telephone.
@@IrvingIVsame
Seems intuitive. As the number of digits in your given number increases toward infinity, the probability that any specific numeral is left out approaches zero.
Precisely.
Almost all numbers have more than a sextillion digits.
Rated "T" for Three.
Only three year old can see this insane math equation
Its funny because I just learned about integers
@@anGelMaRtiNez-hw2bz I m proud of u :)
Ok no I’m going sleep tonight I don’t know what’s going on I’m
@MintyKPt morning my friend is doing a
Tree?
In binary, all whole numbers contain the number 1 XD
Yeah, not just "almost" all but litterally all whole numbers (except 0) :P
hmm, what about 0 itself?
0 is a natural number though.
"grabs popcorn"
you can have 0 objects, yes.
Those are called positive integers. That´s a different category.
Took me exactly 2 minutes before realizing this was an April fools joke. Well played.
But all of the calculations are correct, it is indeed correct. That's just infinity in it's weirdness
The proof is propably mostly useless but not false
@@paulkonig9942 yes
It's not a joke. The proof is accurate, just useless as all 10 digits share that property, along with any finite combination of them (no idea about infinite combinations).
@@ADthehawk it both is and isn’t. An infinite string of 1’s is 100% included, but all the digits of Pi isn’t
Actually, it's because 3 means 3 sides which means a triangle which means ILLUMINATI and ILLUMINATI IS EVERYWHERE
Half life 3 confirmed.
333 likes. #illuminati
yaseen reza #iamilluminati:O
yaseen reza hahahahahhahhahha
Celebrating 420 '+1's
"He just thinks it sounds funnier."
...You know what, it kinda does.
Especially when you consider that Valve can't count to three.
He just thinks it sounds funnier.
Valve and 3? HAHAHAHAHAHAHAHAHAHAHA i need friends
No, it doesn't compared to 0 (nut).
@@milopezusmc *press NUT button*
We should take number 3 and push it somewhere else!
Commented 3 years ago
@@tomekksiazek9007 HAH! Commented 3 days ago....it's actually pretty funny from my perspective.
@@afiffarhati4580 commented 33 minutes ago xD
@@tomekksiazek9007 *NOICE*
I really wished for someone to continue the comment chain , thanks....but now that it can't be continued anymore , guess i should break it myself......very sad :(
@@tomekksiazek9007 commented 3 months ago lol
6:13 he asked exactly what I was thinking.
Yes, exactly what everyone is thinking
Same
1 and 4 are everywhere as well.
For instance, in the upload date of this video.
Meanwhile, at Valve...
Throughout the entire video i was thinking to myself "But wouldn't this work for all single digit numbers" and i was getting more and more worried they weren't going to cover it and then at the end i let out a sigh of relief
This should’ve been posted on March 3rd 2013😂
Or march 3 3333
You're cute btw
it was posted on april 1st for a reason
@@NullTheCursed simp
March 3, 3 A. D.
This was uploaded on April fools...
+Pixelater4 Wow, you're right.
Today is April Fools. (When I posted this comment it was 2016)
>.>
Too bad the math still checks out
lol
I GOT IT! HL3 CONFIRMED!!!!!!
So,there are illuminati everywhere?
Hahhh hehe
是
This is a pretty exciting video for someone starting combinatorics... Otherwise it is pretty 1st of April video 😂😂
Hol up
I liked it
Yup. April fool... Hehehe
ohhhh it was April fools vid. That makes sense even tho it was still pretty legit.
So, almost all numbers contains almost all numbers...? 6:13
HALF LIFE THREE CONFIRMED! :P
As a 999 addicted, I noticed something quite peculiar: the sum of all the digits (or digital root) of the numbers of 3 in each part always equals 1.
- 1 is self explanatory,
- 19 = 1+9 = 10 = 1+0 = 1
- 271 = 2+7+1 = 10 = 1+0 = 1
- 3439 = 3+4+3+9 = 19 = 1+9 = 10 = 1+0 = 1
2:12
Fun fact: those digits are the first 3 digits of e. (2.71)
Yeah, i thaught IT might approach e when i saw this😂
Impossible, e = 3
@@JohnSmith-kj2od Ah the engineer
@@jann4189 I was like, e. things approach e. I was so excited when he put down the 1 - (9/10)^n, which looked to me like (1 + 1/n)^n
infinity breaks maths. again.
Everywhere except in Gabe Newell's world.
Tricky The Clown IM THE 100TH LIKE
Tricky The Clown I WAS JUST ABOUT TO SAY THAT!
Tricky The Clown madness combat :D
Nathan Wood Dude, he said that 4 months ago... and I know you said this a week ago, but damn...
*****
That's what I thought.
This was posted on April Fools but the math seems to check out
Indeed. The only prank is that it's attributed to 3. It's true of all digits in all number systems.
Did you watch the Video till the end? xD
SirSkyRage yea. guess I didn't get the joke when I first watched this
April fool's day is 4-1...which equals 3!
@@100percentSNAFU xD
He said 3 because it has a reputation of being mystical and having something to do with the mysteries of the universe.
correct title: "almost all numbers contain any given digit"
This video is produced by numberphile. Numberphile = Number + phile. Phile = file. You use a file for long nails. Nails are made of metal. Metal is cold. So is antarctica. Penguins live in antarctica. Penguins are birds. So are mockingjays. Monkingjays are in the hunger games. Hunger is when you don't have enough to eat. All animals eat. Humans are animals. Suspicious? Humans are born with 300 bones. There was a movie called 300. It was based off of a war. War backwards is raw. Raw meat makes you sick. You throw up when you get sick. Throwing up is called vomiting. Vomit starts with v. V is the 22nd letter in the alphabet. 22 is a number. So is 6. This video is over 6 minutes long. This video explains facts about the number 3. There are 3 sides on a triangle. Pyramids are made of triangles. Pyramids were built a long time ago. THE ILLUMINATI WAS FOUNDED A LONG TIME AGO. illuminati confirmed m8
+AirplaneDude It's around 300 bones. Your logic is flawed.
Yes Zarozapa CnJ
+airplanedude And nails aren't cold, they're just better conductors as they are made of iron, and so more quickly disperse the temperature of the nail with the approximately 20 degree warmer heat of your body giving the illusion of feeling a colder object because our perception of heat is flawed.
+airplanedude Phile means to love, so number lover.
+airplanedude When do we get to the ducks?
Meaning the same for all other natural numbers. But then again, it would mean that 100% of numbers contain all the digits, 1-9.
This video could be also relationed to the biggest unsolved pi problem: if pi is a normal number that is if there is all numbers contained in the digits of pi in any base not just systems of base 10.
Soooo almost all numbers contains all numbers? Deal with it!
gabriel passos actually, what Lorenzo Santi said is correct and more generalised. Because it would also be true that almost all numbers contain any digit sequence you can think of, not dist single digits.
all digits are everywhere duuh
“Three o'clock. Three o'clock is always too late or too early for anything you want to do. An odd moment in the afternoon.”
― Jean-Paul Sartre, Nausea
And what about Half-Life?
You stole my idea!
Niiiiiiiiiiko Nope.mp2 episode 2
+Bill Kerman Thumbs up.
Nope.mp4
What about Banjo Threeie?
This works with strings of digits as well. Almost all numbers contain a string of a trillion consecutive threes.
ILLUMINATI CONFIRMED
WhAt does that have to do with 3? Just wondering.
Downton 654 Triangle
+Zirg Gurj ohhhhhhh!
+Zirg Gurj I believe thou meanst to say "Half-Life 3 confirmed".
+E1craZ4life Portal 3 confirmed :p
But 3 is practically one of the last things you can reduce everything to, and 3 is almost found in everything...
3 is almost everywhere.
Triangles have 3 angle.
1776 is divisible by 3.
The British fought the Americans for 8 years during the revolution.
8 is 2 to the power of 3
Doritos have 3 angles
HALF LIFE 3 CONFIRMED!!!!
gg
gg
nice one hahahaha
+Christopher Halim ggwp
+Christopher Halim thank mr monstrata
on the first point, arent all numbers (0-9) in almost every number? not just 3? or am i just missing the point of the first segment.
this can be proven for every number.
look at this in binary notation and you get the point of the idea really easy :D
Watch it till the end, he says you can do it for other single digit integers
i was thinking the same thing
Jambott Do you not know what April fools is?
so you could so almost all numbers contain all the numbers :|
Before clicking, I said to my brother “you know, almost every number contains a 3”.
The right man to speak about the significance of 3 would be Nikola Tesla
I was just thinking about that :)
1123aka Why?
endofscene
Because nikola tesla was obsessed with the numbers 3, 6 and 9. he believed that that those numbers were VERY important, nobody knows why though. if you don't know who nikola tesla is you are probably an american brainwashed by edison propganda :)
endofscene
Marko k if you don't know who nikola tesla is you are probably an american brainwashed by edison propganda :) is actually true, edison made up a huge amount of things during the "War of Currents"
At 1:15, he said "It's not point one," and I thought "Yes it is point one!". I later realized that he was using the word "not" to mean 0, lol.
+bun bacheso actually it's "nought", a British English variant of "zero".
Matthieu Houriet Oh, I see. Haha! Thanks. (I guess I should realize that, because in the USA, when we want to say that something is pointless, sometimes we say, "It's all for nought.")
Holly, his accent is so cool!
Fun fact: Here in Brazil we say "porra nenhuma" when we want to refer to something that is equal (or even very close) to 0!
If you write all numbers in binary, none of them contain the digit 3 :P
Hacks
+Sammy HAAAAAAAAAAAAX!
tru
11 does
+Константин Константин In trinary it's still true that no numbers contain the digit three!
Me watching this: "Let's just check the date for april fools..." 😂😂
3 is everywhere except in the VALVe headquarters.
Looking at the comments, I see many people did this same joke 2 years ago.
I'm writing from the year 2018 to tell you there's still no HL3 in sight.
can't you just do this with every number?
Actually, just means that an infinite number contain every number ! Logic
Watch the end
Yeah, and this is awesome!! There are some many numbers between zero and infinity that 100 per cent have all numbers, maybe Descartes was right when said about infinity...
almost all numbers contain any prespecified sequence of m digits
Yeah, I think they went with 3 to grab our attention. You see, a lot of cultures have really strong, even mystical expectations for the number 3. It's my personal suspicion that this video was more of an exercise in playing with expectations, because, yes, obviously we can do this type of calculation for any single-digit number. :-D
Apparently not Valve Games
OMG
Math is crazy due to fact that all numbers contain digits that are 0,1,2,3,4,5,6,7,8,9 at the same timem
It's rising toward 100% because of the lenght of number, and the higher probability that any digit in that number is 3 (or any other digit). Awesome video :)
7 is everywhere!
eww overrated number
isn't this true with every single number?
It is.
Watch the end of the video.
MrSasyB Yeh but then the illuminati wouldn't be confirmed
Jack Matthews GET OUT
Something about the date is just sketchy
April fools, that means 04.01.
4-1=3
Mind.
Blown.
help is this serious, it makes sense but than, upload date
Nuzlocke Adventures
Lol where'd you learn to do math?
You operated on the equation correctly in the first part: N-5/N=2 all the way to plugging it back in. Then you messed up with -5-5/-5=2, using your correct math from before, our equation becomes -5/-5 -5/-5= 2 and since -5/-5=1 our equation becomes 1+1=2 which is perfectly fine.
The crazy thing is that you can prove the same thing with any other digit...
April Fools....
The crazy thing is that he says that at the end of the video.
TehGordonFreeman Yeah, I need to stop commenting halfway through watching things, lol
*gasps* You have a 3 in your channel name!
Addison Kline Yes, yes I do :D
Half-Life 3 confirmed.
the amount of comments taking this seriously and not realizing it's an april fools joke.. simultaneously painful and hilarious 😭😂
oh
well that makes a lot more sense then 😐
I learnt this in my math class, it's pretty much true. Probably posted on April 1st because it sounds so preposterous, but if you watch the video he shows the complete working out... It's funnier to see the people calling this a joke and not understanding the math /lh
@@lalat8920 it is a joke, because it is obvious but they treat it like it's something awesome and incredible in the video
Almost all real numbers are not whole numbers.
agnichatian almost is never enough 😂😂😂
There are infinite whole numbers
NotYourFriendlyUserTV false. there are more decimals than whole numbers.
Fight the powa this is where we get into countable versus uncountable infinity. It is not false that there are an infinite amount of whole numbers, because you can start counting at 1 (2,3,4,5...) and keep going forever. The thing is, there are an infinite amount of numbers between 1 and 2 (1.00...001, 1.00...002, etc.). The first is countable infinity, because as you count, you get closer to infinity, whereas with uncountable infinity, it will take you infinity-fold to even get to number 1.
Almost all real numbers are irrational
It makes sense, the bigger numbers get the more numerical digits they share. 123,456,789 contains all the numerical digits in one number. It would be very rare for extremely large numbers not to have every numerical digit in them, just as it would be rare to have a string of 100 digits and not have every number in it.
Qaedtg H you forgot 0
Acceleratus Just add a zero at the start
Valve does not have it.
Damn, I feel like a fool for actually trying to believe that 3 was different even though I knew it was not.
*Proof that most numbers are infinite*: Pick any finite number, say 14. There are a finite number of numbers below 14, and an infinite number of numbers above 14. So, most numbers are larger than 14. But this is true of any given finite number. So, most numbers are larger than any given finite number. But if a number is larger than any given finite number, it's infinite. Therefore, most numbers are infinite. QED.
There are negative numbers, so it's infinite both ways, I can also find an infinite amount of numbers between 1 and because if decimals.
Mike Hunt Right, just replace "numbers" with "natural numbers" everywhere. Numbers can mean a lot of things...there are ordinals, imaginaries, surreals, quaternions...but it all begins with Peano's naturals.
Let me formulate your "proof" and then tell you why it's wrong.
Conjecture; most positive integers are infinite
Argument; take any C, (C in Z+), there are finitely many numbers in the interval ]0, C], but infinitely many numbers n>C. Because you can pick any finite number C all numbers are larger than C, thus infinite.
My argument; if you pick any C (C in Z+) there is always an infinite amount of finite numbers larger than C. Proof: pick C (C in Z+), then make an infinite set [N], where all the elements are of the form C+n (C, n in Z+), for all finite C, n there are an infinite amount of members in [N]. In your proof you base your argument that "for any C (in Z+) there are an infinite amount of numbers n>C..." but all the numbers are still finite, and even tho this is true for all finite numbers that doesnt make n = infinity, it just means you add more integers. I know your proof was a funny example but anyways^^
Matti Kauppinen It relies on the vagueness of the english phrase "most numbers are larger than any given finite number".
True: "For all X, (For most N, (N > X))"
False: "For most N, (For all X, (N > X))" (lol)
what a horrid "proof." Euclid is rolling in his grave.
"_here are a finite number of numbers below 14, and an infinite number of numbers above 14. ... But if a number is larger than any given finite number, it's infinite._"
HAHAHAHHAHAHAHAHHAHAHAHHHAHAHAHHA. Infinite means there are *no* numbers greater than it.
I went off on a tangent and now i'm downloading a txt file with pi to a billion places... its 954MB btw... yes a txt file nearly a gig O.o
The final digit of Pi is four and a half.
wouldnt the final digit be 5 then as 4 and a half in a decimal is .45? :P
Well that escalated a little bit. How did it go?
tried to open it and it crashed my pc xD lol
wonder if my 'pooter will handle it... *downloads txt file !!!EXPLOSION!!!*
The numbers mentioned in this video were: 1, 19, 271, and 3,439
The sum of the digits in each number equal 1. Example: 1 + 9 = 10; 1 + 0 = 1. Another example: 2 + 7 + 1 = 10; 1 + 0 = 1. One more example: 3 + 4 + 3 + 9 = 19; 1 + 9 = 10; 1 + 0 = 1.
What a coincidence xD
BuildMeASnowmanBiatch 3439/19=181, 1+8+1=10, 1+0=1
271*181=49051, 4+9+0+5+1=19, 1+9=10, 1+0=1
3439*271=931969, 9+3+1+9+6+9=37, 3+7=10, 1+0=1
BuildMeASnowmanBiatch
That’s interesting, why is it that way?
Alex Hilgenberg I have no idea lol
If it's a coincidence, then there's a 1 / 10^4 chance of it being that way so it's really strange.
BuildMeASnowmanBiatch All those numbers you listed have a remainder of 1 when dividing by 3.
In fact, if you continually sum the digits of any number (as you did) and get to a number
BuildMeASnowmanBiatch Obviously, Half-Life 3 confirmed.
This was the best troll video I've seen in a long while. Thanks for making me laugh though!
Sees James. Clicks on video.
Declan Peters every time
James isn't in the thumbnail.
@@djkm9558 XD
3:40 look at how he writes, with 3 fingers flat on the paper. What on earth? Try writing like that. I can't do it!
Lol
I actually write like that. And .... you end up with your pinky finger stained! Also, if I even TRY to write another way, i fail
+Vrabbers Same here!
because 3 is everywhere
Lol
I know one place where there is no 3 [ look at valve ]
Not only is 3 in most numbers but it can also help with orders of magnitude & sometimes powers of ten
Well, almost all numbers contain 42. Or 1234567. Almost all numbers contain my time off birth written as DDMMYYYYhhmmss. Yours, too, whoever is reading this comment. Almost all numbers contain the first million decimals of pi. Numberphile, you should have mentioned something like that, not just stop at one digit.
The short answer is P(number of n digits has no 3 in it) = (9/10)^n goes to 0 as n goes to inf.
"3 is everywhere"
"Triangle has 3 sides"
"Triangle is Illuminati"
"ILLUMINATI IS EVERYWHERE!"
Just like the number 23. I can see it everywhere.
Illuminati confirmed
couldn't you do this with any number?
I checked the date of this video. Glad I did. :)
I thought this sounded a bit ridiculous, but then I realised when you start getting into larger and larger numbers, each number has a lot of digits. When you start tallying up numbers with 100 digits, what's the chance there'll be _no_ 3's? Very low. So most numbers with, say, 100 digits, will contain at least one of each number between 0 and 9.
I don't know why my previous comment was marked as spam, if, from the set of all integers, you pick a random number, it will infinitely long, so there is a 100% chance it will contain every single digit from 0-9.
a number can be infninitly long while containing only 1 of them aswell, meaning its not 100%, it might be close to it, but its not 100%.
oded khazon It is 100%. You can spend an infinite amount of time picking random numbers and you will never get a number that is missing a digit 0-9. It is like the set of all irrational numbers compared to the set of all integers. It can be shown that the set of irrational numbers is a larger infinity than the set of all integers. A larger infinity divided by a smaller one is infinity, so you have a 100% chance, if randomly picking from the set of all numbers, of picking an irrational number. BBC's Horizon program on infinity explains this well.
Duh.
timl2k11 no, it will never get to 100% chance that you will pick a number with all 10 digits, or a certain one that you chose, as you could always pick 777777777777, while the certain digit you picked was 3, it will never get to 100%. the only way for it to happen is if you pick infinitly many times, and that just silly, because you could say: if i pick a random number infinitly many times, there is a 100% chance that ill pick a certain number, since ill pick a number so many times untill i get that number (and by so many times i mean i will never stop picking a number) and thats given you also have an infinite amount of time to do that. but about your first sentence, "you will never get a number that is missing a digit 0-9" there are plenty of those that you could pick randomly whether is is 55 or 42815769 (missing the digit 3) there are always numbers that don't have a certain digit, no matter how high you go, the only difference is that there are more and more numbers that don't miss a digit.
The amount of numbers containing a 1-0 will never reach 100 because the smaller a number is, the smaller the odds it contains each number. It's common sense. Eventually it could raach 99.9999999999999999999999999999999999999 etc. but never 100%
Cant this be the true for any of our digits? (1-9)
Thumbs up if your watching 3 years from publishing date.
U238 Posted 3 years ago, the video checks out: the number 3 is everywhere.
U238 your name has a 3 in it
U238 I'm watching this 3 years, 3 months and 3 days from the publishing date.
zboodles2 Your comment was posted three days ago, and it has 3 likes.
Boo
Numberblock Three's favorite Numberphile video.
Its the same for all 9 digits.. so kind of pointless
Bah
Wait.
Think about it:
This video was uploaded on April, which is the 4th month of the year, and it was uploaded on the year 2012.
20+12 = 32
32/4 = 8
8/4 = 2
It was uploaded on April 1st, therefore:
2+1 = 3
HALF-LIFE 3 CONFIRMED
I rek u on pb2 m8
ZachariahMusic This video is on Numberphile you fool not about a game... and I've never met you before...
oh man i just got rekt
Finally, a video for me.
I used to always look for things that divided by 3 & 9. Or if I was especially OCD that day, 81.
I used to count by powers of 2 when I was bored. Sometimes I did 3 but I got lost too quickly
That's a step too far even for me, though I did try it once. I got to 4096 and gave up.
Oh, I did go higher on paper but it was part of trying to figure out binary.
I actually happen to have a piece of lined paper with all these powers of 2 just going up higher and higher and higher. I've gotten to, like, 30 or so digits per number. On the same sheet I also have the negative powers of 2 going lower and lower and lower.
Derrick Bonsell same here bud. specially when i look at license plates I have to make sure they divide by 3 and if so I try dividing that by 3 I honsstly think I was the only one who does this. someone tell me im not
farhan alam
I do it with the time on the clock more than anything, but it's still the same thing. So I'm with you bud.
To put it in simple terms almost all numbers contain 3 as we tend to larger numbers but we can't get there, infinity is an amazing concept 🙏
This explanation remembered me a story: "The statistician went on a river with 90 cm depth average. And got drowned."
Had a feeling during the middle of the video that it was uploaded on April 1st lol. Didn't even finish watching the full video.
So all the numbers contain all numbers? WAT.
This works only because numbers overlap, for example numbers with 3, and 7 under 100, 37, 73, then multiply by 10 to get anything in that set.
Sooooo... all numbers have all numbers? Make sence.
no, *almost* all numbers have *almost* all numbers!
Francesco Sorce Sense. Spelling is sexy.
No. Almost all numbers have all DIGITS.