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## Numberphile

Videos about numbers - it's that simple. Videos by Brady Haran

# Videos

**Juggling by Numbers - Numberphile**

17 days ago

**Casting Out Nines - Numberphile**

Month ago

**The Trinity Hall Prime - Numberphile**

Month ago

**When do clock hands overlap? - Numberphile**

2 months ago

**Aaron Numbers - Numberphile**

2 months ago

**Derangements - Numberphile**

2 months ago

**The Kolakoski Sequence - Numberphile**

2 months ago

**Large Gaps between Primes - Numberphile**

2 months ago

**Math vs Physics - Numberphile**

3 months ago

**A Quick Cake Conundrum - Numberphile**

4 months ago

**4D MONKEY DUST**

4 months ago

**13532385396179 - Numberphile**

4 months ago

**A Nice Square - Numberphile**

4 months ago

**Squared Squares - Numberphile**

4 months ago

**Gödel's Incompleteness Theorem - Numberphile**

4 months ago

**210 is VERY Goldbachy - Numberphile**

4 months ago

**Goldbach Conjecture - Numberphile**

4 months ago

**Speed Unboxing - Calculator Unboxing #9**

5 months ago

**Chaos Game - Numberphile**

5 months ago

**A 10,958 Solution - Numberphile**

6 months ago

**The 10,958 Problem - Numberphile**

6 months ago

**Twin Prime Conjecture - Numberphile**

6 months ago

**Reflected Cats - Numberphile**

6 months ago

**Collatz Conjecture in Color - Numberphile**

6 months ago

**The Moving Sofa Problem - Numberphile**

6 months ago

**The Four Color Map Theorem - Numberphile**

7 months ago

**The World's Best Mathematician (*) - Numberphile**

7 months ago

**Pascal's Triangle - Numberphile**

7 months ago

**Stable Rollers - Numberphile**

7 months ago

**Problems with Periodic Orbits - Numberphile**

7 months ago

**The Illumination Problem - Numberphile**

7 months ago

**383 is cool - Numberphile**

8 months ago

**Binder Clip Climber - Numberphile**

8 months ago

**The Four 4s - Numberphile**

8 months ago

**RSA-129 - Numberphile**

8 months ago

**Mathematics: Beauty vs Utility - Numberphile**

9 months ago

**Spider-Man (Cédric Villani) - Numberphile**

9 months ago

**The Feigenbaum Constant (4.669) - Numberphile**

9 months ago

**Sandpiles - Numberphile**

9 months ago

**Balancing a Ruler - Numberphile**

9 months ago

**Incredible Formula - Numberphile**

9 months ago

**e (Euler's Number) - Numberphile**

10 months ago

**Super Bottle - Numberphile**

10 months ago

**The Shortest Ever Papers - Numberphile**

10 months ago

**The Problems with Secret Santa - Numberphile**

10 months ago

**Mondrian Puzzle - Numberphile**

11 months ago

**The Seven Bridges of Königsberg - Numberphile**

11 months ago

**The Josephus Problem - Numberphile**

11 months ago

**Lace Knot Trick - Numberphile**

Year ago

**Fair Dice (Part 2) - Numberphile**

Year ago

**Fair Dice (Part 1) - Numberphile**

Year ago

**Paper Calculator - Numberphile**

Year ago

**Penney's Game - Numberphile**

Year ago

**Little Fibs - Numberphile**

Year ago

**74 is cracked - Numberphile**

Year ago

**Catching Kendama - Numberphile**

Year ago

**Borromean Ribbons - Numberphile**

Year ago

**Money Catching - Numberphile**

Year ago

**Partitions - Numberphile**

Year ago

**The Parker Square - Numberphile**

Year ago

CindsardellaMonth agoI was introduced to Numberphiles by a friend of mine (he's Irish, I'm German - you have a wide range of fans!), I'm now addicted to it for over three years (there's also one of Cliff's Klein bottles next to me right now). You made me love maths, I began reading my first proper books now and I may start to study computer science or something related, which is quite a career change for an occupational therapist. Thanks Numberphiles for showing the startling mysteries and beauty behind maths. :-)

Jagannatha Dasa5 months agoIs there a video on Poisson distribution?

kamikazegargoyle5 months agoCan you do a video about 5,318,008? ;p

Pete Duindorp6 months agoCongrats on getting to 2 million subscribers. .... Well done !!!

I bet you are pretty happy about that milestone :-)

Becerra69ify6 months agoHi! Just saw the four color map video. But, what if I have a pizza of 5 slices, or 6 slices, each slice is touching the others at the center, so you must have the same number of colors as the number of slices you have. Am I wrong?

Alex Blanco9 months agoAwesome job guys. Your channel is my favorite followed by the <C> guys. The subjects are super interesting and the explanations are elegant and brilliant as the math itself.

Thanks for putting all this together.

Thank you!!! :*

Caleb Antonio9 months agoHey, could you do a video on the Digi-Comp II, looks really interesting.

LoStLeSs10 months agoHi Numberfile. I would love to see a video about this equation: 1^2 + 2^2 +3^2 + ... +z^2 = 1/6 * z * (z + 1) * (2*z +1)

Neel Shukla10 months ago+Numberphile Hello!! Absolutely love your videos. Could you make a video on the berlekamp algorithm? I am going to have it in my semester exams and i am unable make any sense of what it is. Thank you!

Vincent Carmiggelt11 months agoHi Brady,

Yesterday a new record was set for solving the Rubik's Cube. 4.74 seconds...

I would love to see a slomo of a really fast solve of a Rubik.

Anrich BothaYear agoHey guys ... can you please upload more videos on Cedric Villani if you have material? I saw him on your channel and since then bought his birth of a theorem as well have watched some of his lectures. I would be very interesting to see him in a traditional numberphile video :) (explaining something) :DD

Zach KiddYear agoI was wondering what the significance of the number 299792458 is other than being the speed of light and I went here to find out more but I couldn't find any such video. Could you do a video about the speed of light? Thank you.

yeong killYear agohello. I'm a fan of your page. I want to make a request on a topic for your next video. I would love for you guys to cover a little bit of mathematical logic. In particular, I'm hoping to hear your staff talk about godel's incompleteness theorem and his ontological god proof.

FIFA Lords & LegendsYear agoHey numberphile: why is 6÷2(1+2)=9 and not 1? I get how it's calculated but why is it done this way?? Why do we group 2 and 6 together instead of the bracket and 2 together?

Aadish ChopraYear agoCan you make videos on statistics ?

Du BKYear agoHave you done anything on different sized d/dt? I'm stuck on the idea of a car accelerating from 0 to 20m/s in a given time vs another car accelerating from 0 to 40m/s in the same amount of time. Do both cars drive at exactly 10m/s for the same amount of time? I would imagine the car with smaller rate of acceleration is at 10m/s for twice as long.

I really enjoy the channel by the way. Cheers!

TheNearFantasticaYear agoPlease do an episode on Charles Babbage!

Kassie DwarikaYear agoNumberphile is Awesome! Super recommend to everyone reading this post.

Anthony YoungYear agoHey Numberfile. Love the videos! Could you do an explanation on why there are 360 degrees in a circle?

Isura101Year agoI love you numberphile.

TheNERDpower92Year agoHi Numberphile, I love your channel. Could you make some more videos about higher dimension geometry/higher dimensions in math in general?

Avinash CkYear agoHi there.Thank you for all those wonderful videos.Would you make something on tensors.

jayanta sahaYear agoHi There Numberphile, Your videos really help me understand difficult topics in a layman terms which I then can relay to other people who do not have access to this kind of material. I was hoping that you provide some basic insight on Godel's 'Incompleteness Theorem'. I have searched for a suitable video for understanding but all in vain. Thank you and looking forward to your new materials.

lennywgtnYear agoLoved the video on Tupper's self-referential formula. It's given me some ideas that I could explore in a future electronics project. Just wondering if you've got any cool videos on weird and wonderful Matrix Mathematics in the pipeline? :)

hyfy1970Year agoregarding your series on Pi...would be great (especially if you could travel there) to do an illustration on how you can deduce that the base lengths of the Great Pyramid of Giza were measured using a wheel.

jwmassaroYear agoHey there, quick question. My Linear Algebra professor has challenged our class to find a specific case, if one even exist, in which multiplying a number by 1 will actually change the number. Do you know of any special cases where this could actually occur?

This stems from the 10 conditions that must be met for a specified vector to be a vector space. One of the conditions is that multiplying by the number 1 doesn't change the original number. Why would that condition even be needed unless there is an actual circumstance when indeed multiplying by 1 could cause the answer to deviate?

Any help would be greatly appreciated, I hope you give this a look as I think you'll enjoy the challenge.

Thanks,

J.M.

Simon DawkinsYear agoDear Numberphile, I love your videos, but I can't wrap my head around calculus. Could you make more videos on calculus related topics? You'll definitely save a few academic careers that way. Thank you for being an inspiration for mathematicians everywhere.

Mirec84Year agopls do Collatz Conjecture

Freddy RojasYear agoI noticed that the channel is missing a video about "Nash Equilibrium". Could you make one about it?, greetings from Bolivia.

Jacob ClaassenYear agoHey Numberphile, is n^2/(n^2-1)! a prime finder and if not, why?

Masti TimeYear agoI am go through your video you have great collection

Carson StreufertYear agoHey, I love the channel, I have a question: what's the longest decimal number you can get from an equation that's not infinitely long?

jumpgarooYear agoHey, could you please make a video about Pascal's triangle ?

Elliot SmithYear agoWould you do Stokes Theorem and Divergence????? I love your stuff.

Brandon AdamsYear agoI discovered a pattern of numbers by multiplying and I want someone to look at it, can I send it to you?

T0rcheYear agoNeed. More. Calculator. Unboxings.

Cody BeasleyYear agoI recommend you do a video on Newton's Method. I just learned how to use that to solve equations a few month's ago. It would make for an interesting video.

Joel ShahYear agoNumberphile I was wondering why pi is constant?

MrHeroicDemonYear agoI watched all sixty symbols, nottinghamscience, numberphile, perodic videos and deepskyvideos. Even took notes and rewatching the ones I think are great to understand.

Any more that i'm missing? Thank you so much for making so many channels, and many videos.

MrSillortYear agoHI!Monty hall problem,,,IF monty picks a goat randomly..wy shouldent u switch??Dont get it---

CFC_ChampYear agowas wondering if you can tell me the fraction of 1 is? ty

MachWarfareGamesYear agoDo something on the constant of gravity (6.67x10^-11)

dudeawsomeness1Year agowhat is wau?

Jay KakkadYear ago7,39,39,133if you keep removing a digit from the right hand of this prime number ,each of the remaining number is prime number ..!!!

jdw9928Year agoHi numberphile. I have a show suggestion. Last week on a news website was a problem that the parents of third graders was getting wrong. The prblem was give an addition example of 5 times 3 and 5 +5+5=15 was wrong only 3+3+3+3+3=15 was right. An episode on why that is, may be interesting

Thats_A_Dummy_NameYear agoI would love to see a video on the axiom of choice.

Garrett KeithYear agofirst off, love what you guys do, math is awesome. secondly, Idea, for 2 million subs (which I am confident you will get to) you should print off a million digits of root 2. thoughts?

Jordi CornetteYear agoHi there! I just heard about two young geniuses who developed the Liang Zelich theorem. Perhaps it is interesting to explain this in a video. Thanks and keep up the good work!

Jeremy HopwoodYear agoFirst off, I love every single numberphile video out there. So thought provoking and fun! THANK YOU!

Can you please do a video on tensors?... I think it would be a good mind exercise and some insight into upper level math!

Sam BelliveauYear agoLove the channel! I would love to see a video on the Navier-Stokes equations. My research is in that area and it would be cool to see how you guys explain it to a general audience! :)

ahmed saidYear agoHello Numberphile who many different words can a 28 letter alphabet produce. if each word consists of 2 letters; or 3 letters; or 4 letters ;or 5 letters

KaalamanYear agoIf the space is expanding and the galaxies are moving away from each other then how come Andromeda collide with our galaxy in the future?

CyrusGerand2 years agoHi Numberphile. I had a question pop up in my calculus class that might make an interesting video. I only suspect as much because the answer was unknown to my instructor who is something of a wizard with math. Why does L'Hopital's rule work?

Simpson178662 years agoLove this channel, you guys are amazing!

Could you do a video on the 3x3 Magic Square of Squares?

Michael Osborne2 years agoHi Brady & the whole world of Numberphile! I'm a huge fan of Numberphile, a high school math teacher, and I was hoping for a little assistance since I had a student ask me an interesting question in class, and I haven't been able to wrap my head around it enough to give a good answer yet. I was hoping that an answer might come from one of the amazing mathematical minds here.

For a sphere, since Circumference = 2*pi*r, and you basically get the surface area by rotating a circumference (great circle) about the center, why isn't the surface area formula simply SA = C^2?

(That thought process gives SA = 4*pi^2*r^2, so it's off by a factor of pi, but it seemed like quite a good question. Additionally, you really only need to rotate the great circle 180 degrees (or pi radians) about the center point in order to "trace out" a complete surface area. Is that somehow how my student - Zack - is off by a factor of pi?) Thanks.

Je Ta2 years agoGood evening!!! Please explain this equation and how you get the correct answer: 40 + 40 X 0 + 1= ___

Longman Xu2 years agoWhat is the square root of i?

Alan McIntosh2 years agoInterview Request: Norman Wildberger of the University of New South Wales. He does not believe in infinite sets and therefore does not believe in the real numbers as a legitimate mathematical construct. His youtube channel (njwildberger) has a massive series of videos describing his objections and his ideas toward an improved theory of numbers. Whether or not you agree, I think we can learn a lot by questioning our starting points, so I think his ideas are worth discussing.

William Fowler2 years agoNew math term! Absolute infinity! ∞.∞1 Infinity to the infinith decimal point.

Peter Wexler2 years agoThe zero has not always existed. For example, there is no indicator for zero in the Roman numeration system.

As of today, humanity has been toying with the zero for about one-thousand and five-hundred years.

Could there be something beyond zero that humanity has not yet thought of?

Peter Wexler2 years ago+Numberphile Do the math(s) guys ever get the feeling that mathematics is magical?

Santiago echeandía2 years agoHey Numberphile! I love your videos and it inspires me to do math! It would be really cool if you could calculate how many minecraft worlds can be made. I mean not generated but actually built in creative mode. I think that number would be massive!!

Sidharth Gurjar2 years agoi think ive got a proof for riemann hypothesis. what should i do??

rhiannon coupe2 years agohi numberphile. I love your videos but I was wondering if you could do a video explainig i ! Or what is the value of 4 to the power of a complex number or something?

Víctor Romero2 years agoI really wanted wanted to see what the professors had to say about coincidences, are they real or can they be explained with statistics and math?

Robert Richards2 years agoHey Numberphile. I love your videos. I especially love the ones on Graham's Number.

Anyway, I just thought I'd like you know that one of your playlists has a typo: "Best of Nuberphile2 (our extras channel)"

Mohammed Bharmal2 years agoHi Numberphile. I just love your videos and have watched almost every video of yours. You have done many videos about the total possible combinations on Chess games, Rubik's Cube and Enigma ciphering machine. I want to know the maximum possible number of Sudoku game configurations too. So please can you make a video of that too. I would love to see that.

Sergej Nekrasov2 years agoWhat about squaring the circle in hyperbolic space?

William Fowler2 years agoHow much of a percent of a googoplex is 10^300000

Alex2 years agoSuch a pleasure to watch these videos. Thank you for making them and to all your speakers! Same goes for your other channels.

uhlan302 years agoYou guys should do a video about the number 2147483697

ELIG2 years agoI was watching the epic circles video and i was wondering if you guys think it has to do in any way with black holes?

Edan Coll2 years agoI see many people writing requests here, so I'l try my luck as well. Is there a good explanation why 0^0=1? When searching for the answer, all I find is mathematicians saying that it's not very true. The function f=x^y definitely does not have a single limit at (0,0). A video on the topic could be excellent, but I really just want an answer.

Many thanks to any reply!

Josh Maginnis2 years agoSo the sum of all natural numbers is -(1/12), if the sequence of the sum all natural numbers is terminated at any point the result will be a triangular number. Does this make -(1/12) a triangular number and if so does it make it the smallest one, largest, or both?? D:

Adam Supreme2 years agothis channel is great. i love all of you guys.

Álvaro L. Martínez2 years agoI hope you upload a new video on Tau Day ;)

Ting He2 years agoThank you so much for making those videos!!!!! I'm starting a math club at school next year, and those videos inspired me a lot!!!! Thanks again for your hard work.

Kevin Beal2 years agoDo a video on why 1 is the loneliest number!

ophello2 years agoI would LOVE if you did a video about Loader's Number. Loader's number is the output of loader.c, a C program by Ralph Loader that came in first place for the Bignum Bakeoff contest, whose objective was to write a C program (in 512 characters or less) that generates the largest possible output. This might be appropriate for Computerphile, but since this is a maths channel, I thought you might enjoy trying to explain exactly how loader's number is generated.

It dwarfs Grahams number. It's absolutely inconceivably huge.

Aonghas Morrigan2 years agoHi Brady and all the hard workers at Numberphile!

Thanks for doing your great videos, I've procrastinated many an hour I should be studying watching your videos instead.

I have a request, or suggestion: could you do a video on non-euclidean geometry? I've heard the term used in fiction (H.P. Lovecraft etc.) as if it's some sort of black art, but I'm sure we could find it's friendly face through the folks at Numberphile!

Thanks

Deepak Marandi2 years agoHey, Numberphile......I love your videos....And I like weird problems and their solutions, especially the way you present it..

Here's my question to you..

Anything to power 0 is 1 . . . and 0 to any power is 0 . . . So what is 0 to power 0??

Gaudentic2 years agoI cannot believe you dont have a video featuring number e !!!!!

DickJohnson34342 years agoI was wondering out of your 1.2 million subscribers, do you have a demographic breakdown?

Adam Azenić2 years agoDear Numberphile, since you haven't made any video about quaternions (and theirs application), maybe it is the time to get people interested in them.

TwosStepUp2 years agoPlease could you do a video about the Banach-Tarski theorem ( sphere doubling ). I have seen a couple of videos saying only that it has to do with the axiom of choice and non-measurable sets. I would like to see a video which at least scratched the surface.

--- and PS thanks for the other videos ...

D3J0e2 years agoLovely evening Numberphile. I really love your videos but there's one question that keeps bothering me. Namely that if you enter -1 to the power of any not-whole number (e.g. 2,5 etc.) it gets me a "Math error". Naturally if I raise -1 to the power of any whole number, it gives me the expected result. But why is that so? Does that mean, that for any non-whole number x in the exponent the expression (-1)^x gets complex? And is there any real "representation" of that expression?

I have noticed that cos(pi*x) fits pretty well because for any even number x you get positive one and for any uneven number x you get negative one. But the cosine-expression is also for any not-whole number defined and you could see it as a real counterpart of the (-1)^x expression.

What do you think about this point of view? May it be that I just got something terribly wrong, or isn't it such a bad perception after all?

Anyways thank you for all your superb videos that have inspired me and many others to dive into mathematics and discover the joy you may find within it. I really look forward for all your upcoming videos!

Best regards

Joe

daro20962 years agoDid you know that in the nine times table each answer adds up to 9?

Example:

2x9=18 1+8=9

3x9=27 2+7=9

4x9=36 3+6=9

5x9=45 4+5=9

6x9=54 5+4=9

7x9=63 6+3=9

8x9=72 7+2=9

9x9=81 8+1=9

10x9=90 9+0=9

11x9=99 9+9=18 and 1+8=9

12x9=108 10+8=18 and 1+8=9

Do a video on the this please if you haven't already.

wasp898989892 years agoBrady, you should get some smart guys to talk about game theory, considering the death of John Nash, it's quite relevant! And it's super fun and interesting as well

teyxen2 years agoWill you do a video about John Nash, in memorial?

Anyu73782 years agoAwesome vids, subbed.

Katherine Clairmont2 years agoDr. John Nash and his wife died today in a car accident. Perhaps a video describing game theory is in order?

salmjak2 years agoPlease make a video about John Nash, since he passed away and got a nobel price in mathematics.

Alan2 years agoHi Numberphile!! Could you do a video on Navier Stokes? Implications of solving the problem in real life?

Pedro Nogueira2 years agoHey there! I really love all of your videos, I've always loved math and with your videos it's getting even more exciting :)

Would you mind doing a video about the plastic constant? Just saw it these days and would like to see a video about it (but actually I don't think it's really important, so... yeah, just curiosity :x).

Thanks for everything!

-HFox

Bob Smith2 years agoSo I've been wondering for a while, since pi is an infinitely long non repeating number, does it FOR SURE have all the combinations of numbers in it? I mean, I could make an infinitely long non repeating number using just two numbers. (1.121122111222... just using the next digit in the sequence one more time than previously used) You can have a pattern without repeating. So is it certain that every number combination is in it?

camwyn2562 years agoWas just teaching a person about math. Simple stuff... addition multiplication... It got me thinking; Multiplication is a short hand of addition. Why then is it when we multiply two negative numbers together we get a positive result? I had the answer flit through my head but I failed to catch it.

Justin2 years agoI was at a speech by one of the Numberphile members at a math competition in Queensland, I just wanted to say he's presentation was the best part of my day. I forgot the name of who gave the speech :/

Luke Bean2 years agolooking for summability method for the Maclaurin expansion of the Lorentz factor plz halp!!!!!!

Binarin2 years agoWhy is the product of all prime numbers equal to 4*pi^2?

54MSAM2 years agoHow do you feel about axiom of choice?

Koba Koivisto2 years agoHello! Love this channel and just wanted to say hello without any hidden agenda..

oh btw, do you know game of igo (weiqi in chinese,) they say it has more possible outcomes than there is atoms in the known universe ;)

Adam Kadmon2 years agoStill waiting for Don Knuth video :(

AJ NOURI2 years agoAmazing videos!!!

Congratulations about the prime number series! Very useful.

Related to prime numbers, I would love to see videos explaining how the prime spirals are used to exploit Elliptic Curve Cryptography (ECC).

Very few explanations outthere though the subject is vital to Internet integrity !!!!!

Luke Bean2 years agoHi there Numberphile I am physics and math student. I have been studying special relativity in physics and am doing analysis and foundations in math . I was just wondering, they say that things with mass cant travel at the speed of light as it would require infinite energy to do so, I some what understand this by means of Lorentz transformation. But wondered if you took the Maclaurin expansion of the Lorentz factor and set velocity equal of the object with mass in question to the speed of light( hypothetically ) the Maclaurin expansion is a infinite sum. This information is available but I was wondering if such a sum would diverge? If so could a Abel or Cesàro summation method be applied to evaluate the analytical continuation of the divergent some, possibly yielding to a value of the Lorentz factor for objects with mass travelling at the speed of light? And what that may mean. Your response would be very helpful. =)

MockingBirdthewizard2 years agoHi, great videos and people. :-)

has anyone done an explanation of the issues with the gamblers fallacy raised by the monty haul problem? meaning, if someone moves through the monty haul example the 'correct' answer will be in 'the other choice' 66% of the time, but if someone just walks in at the moment the choice is between A and B without knowing of the previous results his odds would be 50/50?

overall I learned the gamblers fallacy way back when but the monty haul solution seems to contradict it.. unless both sets of odds are true (for the person mid-monty decision AND for the person who just walked in).. in which case... are odds susceptible to relativity? (so to speak)..

Federico Gonzales2 years agoAs it turns out, there is a formula for pi:

pi = limit as h -> 0 of the summation {from i = 0 to 1/(2h)} of 6h/((1 - (ih)^2)^(1/2))

Try it out and tell me what you think. I was bored one day calculating integrals and converted it to a Riemann sum. I got the idea from my Calculus book which stated e as a limit: e = limit as x -> 0 of (1 + x)^(1/x)

I had assumed that someone else had figured this out, but I never see this formula anywhere.

On a side note, I love your videos and I am a huge fan. Rock on

spdwarf2 years agoLove your videos! Could you make a video about the math behind vector graphics?

E.g. how can the dot above an "i" be completely round, when a vector is "an arrow" with a length and direction?

Josue Riverbank2 years agoDear Numberphile,

A little more phi and a little less pi.

Thank You.

Neitsabes Zolta2 years agoabout that PI and a milion digit..?! i really wonder, do it express a one way ride... On my experience with easyer root # i observed important slow down.... down distant fractional.... i wonder...?!

metacarpo102 years agoHello Numberphile, I love your videos and I have a challenge for you! Somebody asked me that and I don't even know if it has a solution, but it seems very interesting. The problem is: "What is the biggest number you can write using the least amount of mathematical symbols?". Well, I'd like to see you guys argue about this one.

Thanks very much for the videos!

metacarpo102 years agoMaybe this is a good thing to ask in sixty symbols as well.

Abdullah Mostafa2 years agoHi numberphile! I wanted to ask about pi, if it is infinit does that mean the circle is infinit? or am I wrong about that?

Milton .McMilton2 years agoGuys pleeease do a video on Kurt Godel and/or his incompleteness theorems !

Hyun-Min Choi2 years agoHey Numberphile, I have a question that I cannot bug out of my mind at all, so I wanted to ask you guys. Irrational numbers are numbers with decimal sequences that go on without ever repeating, right? Meaning every number combination can be found in them, right? So let's talk about 2 irrational numbers: Pi (the ratio of a circumference to its diameter) and Phi (the golden ratio, cuz why not, they rhyme). If both of these irrational numbers have every number combination possible, because they are an infinite string of non-repeating numbers, they should have each other's number combination in them as well, right? Somewhere within 3.1415926535... 16180... should occur, right? And within 1.6180... 31415926535... should occur, right? So, wouldn't that mean that irrational numbers would start repeating within themselves? From starting with 3.1415926535... you get 16180... and then another 31415926535... and so on and so forth. Wouldn't that make irrational numbers impossible to actually exist, because then all irrational numbers would become rational by using the sequence from another irrational number? I'm getting so bugged out with this question, and I hope you guys can give a convincing answer. Thanks!

Andy Poes2 years agoCan you guys do a video on babylonian numerals? I don't understand how Y = 1 AND Y = 60. Thanks!

mayank yadav2 years agocan you please do a video about permutations and combinations. I find them very hard!!!!!!!

Please help!!!!!!........

David Santos2 years agoI know that Easter Day can be calculated by a Mathematical Algorithm, but it depends only on Moon Phases and on Spring Equinox. What is the relation between the Calculation of Easter Day and Maths? Is it just a coincidence or is it more complex, like being a cyclic event? How can we get to the function that represents the Algorithm of Gauss or the Meeus/Jones/Butcher's one?

David Griswold2 years agoI love this channel and really one of the first I have watched on an ongoing basis.

I am sure I am not the first to make this observation, but you really should have named this channel Numberwang. Every time I hear one of the English presenters, I can't get the "That Michelle and Webb Look" Numberwang skit out of my head.

Patrick D.2 years agoYou should auction off brown paper actually used in a video. It would probably go for a lot of money, if it was used in a video and written on.

Bambus Bambo2 years ago+Numberphile I have actually 2 questions:

1) We know that operations like „+”, „*”, and”^” are actually really similar to each other. multiplication is adding the same number „n” times and rising to the n’th power is multiplying the same number n times. I wonder if exist operation, that is less complex than adding. I mean: x(operation)x(operation)x(operation)x=x+4

2)Is a number of possible, sensible mathematical theorems finite or infinite? I mean theorems like pythagoren theorem, fermat’s last theorem etc. I don’t mean things like „a+2-2=a” and "a+3-3=a” (counted as two theorems)

Stefan Grecu2 years agoWhy 360°? ... where the 360 comes from? ... why not 39, 485, 64, 400 or 256 .. or 65536 (or any random number from 1 to ?) ... where is the 360° origin? TX!

Anthony Wright2 years agoYes 1.2 mill Subs nice job Numberphile!!!

Alan Tschetter2 years agoBrady,

About your video: Infinite Primes - Numberphile. There is another way to state the result, which I find both more elegant and potentially more useful: Every finite list of primes is incomplete. Both formulations are, of course, equivalent. But when a student hears "Every finite list of primes is incomplete" he or she might quickly think something like "OK. 2 & 3". Multiply those together and add 1. OK, 7. Yes, a new prime. OK, 2 & 7. Ah, gets you 3 & 5. And 3 & 7 gets you to 11. And this is just using pairs, not to mention longer lists.

A student might even start to wonder if all primes can be generated this way, starting with 2 & 3, and using just lists of 2.

It even works with a list of 1 prime. And, of course, with the list of all known primes.

EVERY finite list of primes is incomplete!

Alan Tschetter

Docktor Jim2 years agoI was in a Naval History museum, and encountered a Thatcher Calculating Instrument. I'd love it if you'd do a video on the thing.

Lawrence Damba2 years agoHappy Pi Day! Hope you do more pi videos.

JakeInfactSaid2 years agoBrady! No Pi video?

It's still early so maybe it'll go up on 9:26, but if not, shame on you.

Noam Roth2 years agoHave you done a video about Boolean algebra and stuff like De Morgan's laws?

I'd love to see one.

Edzi072 years agoI'm unsure if you have a video on this if i've missed it. However, why aren't there negative prime numbers? According to definition a prime number is a natural number greater than 1, but why is that?

SBGif2 years agoCould you do a vid on the Axiom of Choice? Haven't seen a clear explanation for the layman anywhere on here. Thanks :)

Marx Wegener2 years agoHello James, I watched your video about infinity. I have a problem with your list of numbers, the creation of a new number and its non-existence in the list. There are an infinite decimal fraction between 1 and 2. About all of them are infinite in length. And the "list" is not listable, by your own definition. If you can make a number that is not on that list, then your list is incomplete and not infinite. If you have a complete list of all fractions between 1 and 2, then every number you create out of of any exiting numbers on that list, must be in that list. If its not, then your list is incomplete. Which is a nonsense anyhow because you can't have a list of infinite length. I hope this is not too confusing.

JakeDiscBrake2 years agoHello Brady,

I am a programmer, and I don't really deal with maths too much at work, but what really blows my mind is asymmetric key encryption.

I know it might be a bit complicated, but I'd really love to see a video explaining the maths behind it. Particularly the relation between two keys in such way that one can only be used for encryption but not decryption.

Jake

Raphael Zwander2 years agoHi,

I resently learned about vektores, and I wondered why you can't subtrakt them. well, my teacher says so anyways.

So my question: why can vektores be added but not subtrakted?

I'm also learning multiplying them so dividing won't work eather, right?

I wasn't sure where to ask els.

474/8242 years agoHi there Numberphile. I love your videos. You're the cause of me loving math. Without you guys around or Vi Hart, I would have never gotten interested in math in the first place. Thank you for getting me interested in math.

~428

Numberphile2 years ago+HiIm428 great to hear from you

Adam Snoza2 years ago+Numberphile I came across a property that I can't explain. I teach Pythagorean triplets using a fun memory device. The shortest side squared is equal to the longer sides added together. (3^2=4+5, 5^2=12+13, 7^2=24+25) This happens in many of the triplets, but not all. I don't know the proof that explains this phenomenon.

Johannes Richter2 years ago+Numberphile here's a joke: A mathematician organizes a lottery and sets up a prize of an infinitely big sum of money. after a couple of days there is a winner. The mathematician explains to him, how he is going to get his prize: 1 pound on the first day, 1/2 pound on the second day, 1/3 pound on the third day etc.

Now, i'm far from maths, and at first i thought the mathematician was lying, as he was going to give the guy 2 p. But then it's not 2 p, as 2 p would be 1+1/2+1/4+... etc. as it was shown on numberphile lots of times, i think. but this thing - 1+1/2+1/3+1/4+etc is different. it really is infinity. it's one of harmonic series. it's divergent, so the sum is growing to infinity.

but when, i thought, will this guy get his first million, let's say?

assuming he gets no physical money but gets bank transfers to his bank account, which he then passes on to his children, grandchildren etc. it looks like it will take enormous amount of time to get a somewhat decent sum in the bank.

and here is a quote: "In 1968 John W. Wrench Jr calculated the exact minimum number of terms needed for the series to sum past 100; that number is 15 092 688 622 113 788 323 693 563 264 538 101 449 859 497. Certainly, he did not add up the terms.

"Imagine a computer doing so and suppose that it takes it 10^-9 seconds to add each new term to the sum and that we set it adding and let it continue doing so indefinitely. The job will have heen completed in not less than 3.5 * 10^17 (American) billion years. "

oeis.org/A082912

holy crap, they will never get even a hundred p!

so. a suggestion. Could u plese look into it and make a video on these harmonic series to show that the sum is really infinite and how much time it will take this family to accumulate some decent money from their hard owned prize?

thx

Cleber Jorge Dos Santos2 years agoI love your channel, could you guys please, make a video explaining, why negative times negative makes positive ?

Manas Apte2 years ago+Numberphile I am a big fan of this channel, and I wanted to ask you if you could make a video about fourier transform. Talk a little bit about it's history and intuition behind why it works etc. Thanks!

tetlamed2 years agoWith all your amazing stuff about encryption, you should really do a video about Elliptic Curve Encryption

ibram mikhail2 years agoHey I had a question about numbers. So is 1.5 really halfway between 1 and 2 since there are infinite numbers between them and half way to infinity doesn't exist ? What are your thoughts about it?

Matthew ELDRIDGE2 years agoDear numberphile i recently watched your video on drawings using only a compas and a straightedge and saw that u said it was impossibe to trisect an angle

i took that as a personal challenge to prove you wrong and came up with a way to trisect an angle

i would love to share a video response with u and a how to guide and do a numberphile video with you

i will send you a video response asap

Alexander Ortiz2 years agoNumberphile should make a video about the non-integer value of fractal dimensions!

Loving Veggie2 years agoPlease make a video explaining the concept of e=mc2. Still trying to wrap my head around that concept.

Craig Daniel2 years ago+Numberphile You guys should do a video about FRACTRAN. I *almost* understand why it can do some things, but I don't even begin to understand how the classic example (Conway's prime number machine) works, and it's the only formula I know of that spits out every prime and only primes.

thirstyCactus2 years agoI just noticed that 4 x 2080 = 2080 hexadecimal. Also 4 x 1040 = 1040h, 4 x 3200 = 3200h, 4 x 4240 = 4240h. Curious. Is there a name for numbers like this?

Ronaldo Cañete2 years ago+Numberphile Why is nnnnnnnn/n*9 always equal to 1234567.888... or 1234567.89 ? Is there a name for this pattern?

papatomicjusz2 years agoHi, I have o propose for a movie. Maybe a story about Gömböc?

Robin Thomas2 years agowhy does google calculator not go past 170!? Love your videos by the way.

sahil sihol2 years agocan anyone tell me something about Aristotle's wheel paradox?

Christina Anderson2 years agoI sense a bias toward attractive gingers... keep it up numberphile.

Santiago Jerez Ferrante2 years agoYou should make the physicist that won the tetris world tournament to play wild snake and talk about all the different variations you can have in that game. :)

Maxx B2 years agoI know what perfect numbers are, but why are they important enough enough to spend time trying to find more of them?

Kuvira Hassan2 years agoHello! I love the videos on this channel.

Perhaps we could have a video on Fourier Series soon? :-)

dudeawsomeness12 years agowhat is your favorite number?

Chetan Sriram Madasu2 years agowhy would you think Araya Bhatta , 6th century Indian astronomer need to find the value of pi up to some decimals???

Laura Pichardo2 years ago+Numberphile I want to know the real meaning of THE GRADIENT. As i've always seen it as a mathematical function. I want to understand what it means in real life. Could you make a video about it? i would really appreciate it :P

ChaoticMC Angel2 years agoand also, What is is called when the amount of whole numbers plus (not adding, just putting together) numerator is the same number as the numerator of the improper fraction (that is equal) (also the denominator is the same). like 2 7/10, the improper fraction equal to that is 27/10, look closely and you can clearly see what I'm talking about. It looks like you just added a space inbetween 2 and 7.

ChaoticMC Angel2 years agoJust a question. is 0 -0 or 0, because it goes to 1 to 0 to -1, but the positive numbers have 0 but the negative numbers don't, or is that right? -0 might not exist, since there's already a 0, but I'm confused!!! Which one DOES make sense, 0 or -0?

EDIT: I knew people wouldn't get what I mean here, since the wording is bad, so just wanted to point that out.

Aymen GHANEME2 years agoI have a little request please , functions with two variables ... The extremum point , or critical points , to draw them There is a case when you can't conclude , "using the Hessien matrice" ... i want to know what is soo speacial about that case , and if possible show me how , please i really want a quick response to this and thanks in advance

Primus Productions2 years agoHi, can you answer if all contradictions etc. in arithmetic (addition, division, exponentiation, even trigonometry) reduces down to division by 0?

e.g. the complex argument of 0 is undefined because you are doing arctan (0/0)

0^0=0^(1-1)=(0^1)/(0^1)=0/0

The fallacy that 1=2

etc.

Goyathlay Amedeo2 years agoPLEASE PLEASE MAKE MORE CALCULATOR UNBOXING CALCULATORS

relike868p2 years agoPlease have a site on human physiology and pathology!

Markus Pfaff2 years agoI wish for a video series introducing Hilbert's 23 Problems! :)

Brandon Ramirez2 years agoWhat is Vortex based mathematics?

Celestino Portela2 years ago+Numberphile After I watched your video about the Problems with zero I started to wonder if dividing by zero could be zero it self, like, if you have 20 apples and you're dividing them by 0 people you're actually not dividing at all, just like multipling. Could dividing by zero just "counter" the division? And I believe that this possibility does not necessarily countradicts the idea of the lim x->0+ and lim ->0- being infinity (+ and -) , since as Y tends to inifinity, X tends to zero, but when X actually reaches 0, Y could be 0, since dividing something by nothing, actually not dividing at all. If this isnt possible please explain me why

Anil Kurmi2 years agocan you please explain something more about true meaning of alan turing halting problems.

Kaninfisk2 years agoI was wondering if you could make a video on logic puzzles (the ones with a grid) and how to calculate how many clues it needs to be solvable. Is there any kind of formula for estimating the required number and type of clues, I wonder? Anyway, I love solving logic puzzles and would love to program my own logic puzzle generator software, but I'm not sure if I'll just need to brute force it. :)

Gasigh2 years agoI just found your channel and it was instant love! <3

Fabrizzio Carpena2 years agowould you talk about super cubes and super spheres? please!!!

velde712 years agoCould you please do a vid on the numbers concerning homeopathy: The dilutions, avogrado's limit, etc?

hypersapien2 years agoHaven't seen James Clewett in a video in a while, is he still around? I liked his videos.

mrmb842 years agoIf Pi is infinite; I understand that eventually you will find a sequence of numbers that describes something long and complicated like, in the sound of Pi video, Brady asks about the inevitability of finding every number in there somewhere.

Well if you go far enough, will you find Pi again? And if you do; how can that recurrence of Pi be infinite? Would that be a pattern, periodic, or even something rational? Or is this a paradox?

Dodoman7672 years agoHey numberphile. I've been watching your channel for years now, and your topics always intrigued me. I recently joined a website called brilliant, and i attempted one of it's number theory level 5 questions (quite difficult actually).

I found a question that was very interesting. I researched about it, and i learned that it is called the Impossible puzzle:

"en.wikipedia.org/wiki/Impossible_Puzzle"

If its fine, can you do a video on this please, I kind of guess and checked once i got working numbers, I'd like to find out how it really works. (The wiki page kind of confuses me, and this topic should be cool to discuss)

ahmet serdar Ates2 years agohow many valid arrangements are in a standart sudoku grid ?

beauxq2 years agoDon's dragon tiles are not wrong. The "correct" pattern that you show is the same as the "incorrect" pattern.

Just rotated.

Rob ʺEuphoricAgnosticʺ McDoritos2 years agoHey, I have a question for you maths people. Could pi or any other irrational number have an end in another number system like binary or hexadecimal? How can you prove that a number is irrational in every number system or has it even been done? How can you know for sure that a number is irrational and not just an extremely long rational number? I think these topics would make an interesting video.

dechileen2 years agoAnother request, (I am sorry!), I think it would be really interesting to see something about Bremermann's limit!

Bart Kosinski2 years agoIt's time to start a war :P is 0 a natural number?

laxonite2 years agoI would be interested in a video explaining various unsolved mathematics problems. It would challenge viewers, stimulate discussion, and may lead to solved problems.

relike868p2 years agoCan you explain the complicated maths in Iannis Xenakis music?

Loke Gustafsson2 years agowhy does x^n+y^n=constant^n appear so strangely.

2, 1.92,1.84...0.16 makes squares/circles

2.04, 1.96, 1.88... 0.2 makes bended lines

and else makes a line between (0,constant) and (constant,0)

it seems so strange, can anyone tell me how it is?

Magnus Forslund2 years ago+Numberphile Can you make a video about the Copeland-Erdos constant, The rational aproximation has a very interesting denominator (depending on the precision).

csatimaci2 years agoOne of my favourite videos on this channel is The longest time. I think it would be appropriate to make one about the shortest time as well :) Thanks!

Dustin Jones2 years agoI love math and number

Just another one of my thoughts as shown on my channel

Oh yeah and there's vids......

1.618 best number in the universe

Isaac Silbert2 years agoCould you do a video about the number 98, 998, 9998 (or any number with a number of 9s followed by an 8, it has some kinda interesting properties)?

Graviton10662 years agoYou might want to do a video on Youtube being forced to change its view counter code because of Psy's "Gangnam Style" video.

nbaryonic2 years agoIf you're looking for ideas I'd love to see your video about "Lwów School of Mathematics" and their famous "Scottish book". I've just finished a book about them and I must say that was pretty amazing. Their story is funny, inspiring and sometime tragic. The bad think is the book is polish-only, but I think there's enough material about them on the internet. Keep up the good work.

Hans Gougar2 years agoCan you do a video on the fourth dimension? I think that would be very interesting

imran saleh2 years ago+Numberphile Could you make a video about Farey Sequences?

TheLuckyIrishson2 years agoPlease make a video on the life of Alexander Grothendieck who recently died. Not only does he have an interesting history but he is widely regarded as one of the greatest mathematician of the 20th century I believe. I know there are a lot of requests for videos to be made but there is a real dearth of video about him and his work.

YOLO2 years agoNumberphile , can you do a video about goldbach? it would be nice , if you could do so =)

King of the Potato People2 years agoNUMB3RPH1L3!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

this channels number is 313

Terence Lee2 years agoCan you guys please do a video on quartics?

DanDan8252 years agoIt would be interesting to see a video on hypercomplex numbers, as I think a lot of people, even those who love mathematics, might not be aware of what they are.

Iago Barreto2 years agoHey does anyone know what it is called when a number like 371 if its digits are cubed and all are added together it equals the original number: (3^3)+(7^3)+(1^3) = 371, or (a^3)+(b^3)+(c^3) = abc.

Chameleam2 years agoI <3 Numberphile

MrBoredbook2 years agoI just came here to tell the world that all walls of mazes are two single lines going down one side or the other. Or are they?

Svanur Gretarsson2 years agohelp me hear......If you choose this coincidentally (roundmly) ....what are the changes of being corect ....a)25% . b)50%. c)60% d)25%

Lukáš Vik2 years agoHi, what about do a video about fields medal? Because on sixty symbols is video about nobel and I think is very interesting but for me, fields medal would be much more.

Stephen Adams2 years ago+Numberphile I have a question. When I trie to plot a circle using an app called "graphing calculator by Mathlab" the result is strange , I mean it is a circle but not quite , I can't describe it. I am using this equation "x^2 + y^2 + Ax + By + C = 0". But when i use this equation "x^2 + y^2 = r^2 the circle is allright and nothing is strange, it's a perfect circle.

I would realy appreciate it if you could explain it to me. Thank you.