Man, you messed up the joke. It goes "What is that? Are you armed?" "No, I am legged"

@mienzillaz

4 жыл бұрын

Really??! Then he butchered it hard..!;)

@rad858

4 жыл бұрын

@@mienzillaz unlikely that he would have been speaking English

@mienzillaz

4 жыл бұрын

@@rad858 that was about joke, that story can't be true..:)

@arsenelupin123

4 жыл бұрын

That makes no sense in French though. Not in German either.

@mr.soundguy968

3 жыл бұрын

That certainly isn't a leg of humor

Euler seems to have been involved with every dam constant in his days.

@pedrogorilla483

7 жыл бұрын

I wonder what Euler would do if he had access to MATLAB.

@erinaxel8562

7 жыл бұрын

he died, so he can't be a constant

@arasharfa

7 жыл бұрын

Robb V. Constantly involved

@Dawwwg

7 жыл бұрын

@Pedro Marinho: If Euler had access to MATLAB, we would be enjoying the Star Trek Transporter by now...

@TheManInRoomFive

7 жыл бұрын

Wouldn't that make right almost half of the time? ;)

My garden is too small to include the proof

@torchianicolas

7 жыл бұрын

Heliocentric otro argentino viendo numberphile?

@leo221198

7 жыл бұрын

Nicolás Torchia tres

@genaromoyano8715

7 жыл бұрын

quinto por aca

@theginginator1488

6 жыл бұрын

Heliocentric I have a fantastic little proof, but there isn't enough room in my garden to write it down

@Rudxain

2 жыл бұрын

"I'm gonna do a pro-Fermat move"

And the Gestapo shot Apery on sight because although he wasn’t armed he was legged.

@gordslater

4 жыл бұрын

I heard his mate was so upset about the shooting he got legless to drown his sorrows

@HearsH96

3 жыл бұрын

This is alleggedly what happened that night

@andiback

Жыл бұрын

Exactly and may be "growing in my garden" means he needed sheets and sheets to lay out on the ground for evaluating the expanding formula, lots of papers all with written numbers, sums and digits on them for calculation and approval. Such a genius brain, too bad his garden was just big enough to evaluate Zeta of 3.

@Neat_profile

Жыл бұрын

More like LEGEND.

"Apéry's quite an interesting character, he's French" yes... very interesting...

@fossilfighters101

7 жыл бұрын

+

@Rzko

4 жыл бұрын

×

@ferrismesser

4 жыл бұрын

/

@pbj4184

4 жыл бұрын

^

@happypiano4810

3 жыл бұрын

666th comment.

You missed the most important part... WHY DO THEY GROW IN HIS GARDEN???

@carstenputtbach8843

3 жыл бұрын

I wanna know too!

@adarshmohapatra5058

2 жыл бұрын

Now proofs don't grow on trees do they?

You could not have been closer in 87 trials: 87 / 71 - 1.20205 = 0.02330 87 / 72 - 1.20205 = 0.00628 87 / 73 - 1.20205 = -0.01026 To get no error: 1 / (1.202056903 / 87) = 72.3759 expected number of primes.

@lukeinvictus69

7 жыл бұрын

epic

@jamieg2427

5 жыл бұрын

Thank you for doing this. Amazing. 😂

@laurendoe168

5 жыл бұрын

Not only that, but it could not have been closer with 72 co-primes. 86/72 - 1.20205 = -0.00760, 87/72 - 1.20205 = 0.00628 88/72 - 1.20205 = 0.02017

@jibster5903

5 жыл бұрын

1/(constant/87) can be simplified to 87/constant, because (1*87)/(constant/87*87)=87/constant

@skeptic1000

4 жыл бұрын

This is pretty fantastic

When he said "They grow in my garden" I thought he was going to go on to say that he found that the formula modelled the growth of mushrooms or leaves on a branch or something like that...

@gbcr09

2 жыл бұрын

Me too!

@Elfcheg

Жыл бұрын

Why would he tell the truth? He was not talking to Gestapo.

6:03 - Matt Parker's reply always the best :)

@IIARROWS

7 жыл бұрын

Oh, Matt...

@wierdalien1

7 жыл бұрын

IIARROWS such a parker square

@achi5170

7 жыл бұрын

69 420 blaze it last one is over 9000 XD

@qbaker20

7 жыл бұрын

There has to exist some number base where the numbers would have fit. Might have had to use emoji.

@achi5170

7 жыл бұрын

I'm a birdplane

That's fabulous. I actually burst out laughing when he ran that fraction through the calculator and pulled Apery's Constant out of the hat. My eldest daughter thinks I'm loony. Well done!

Literally got the closest possible result with that sample size. Well done!

You know it's a good Numberphile video when you already know the maths behind it and you are still both entertained and enlightened. I mean, you kinda know it's a good Numberphile video when you get the notification, but still.

69,420 and 9001 what a meme..

@srijanagrawal4591

7 жыл бұрын

why?

@E11eohe11eBlogspotlight

7 жыл бұрын

In case anyone needed further explanation: 69 is a sexual move (double oral), 4/20 is a pothead's favorite day and 4:20 their favorite time, and "over 9000" is a Dragon Ball Z reference (hence 9001).

@Reliquancy

6 жыл бұрын

shouldnt we consider cloning euler if we can get dna from his remains

@nejlaakyuz4025

6 жыл бұрын

Who says maths is boring?

@philipphoehn3883

6 жыл бұрын

Columbine happened on 4/20 too

With a sample size of 87 you can't actually get any closer to the actual constant than this, can you?

@numberphile

7 жыл бұрын

I think he might mean if he counted more of tweets, thus increasing the sample size?

@tomblakeson2532

7 жыл бұрын

I know. I was merely pointing out how well the experiment went for such a small sample size! Just one set of numbers going the other way would have made things worse. If it was me I wouldn't tempt fate by increasing my sample size - job done with just 87!

@YT7mc

7 жыл бұрын

Tom Blakeson I agree

@ruiyingwu893

7 жыл бұрын

i know right...

@sansamman4619

7 жыл бұрын

I don't think so it's like Euler's number the thing if you get interest every second from the bank ... for example if you use 25 samples 25% close 50 samples 37.5 % closer, 75 samples 40% closer ...

This mathematical relations are so astonishingly beautiful. It's like watching the source code of the universe being shown to me.

10:09 : "makes sense?" Complete silence from Brady XD

One of my favorite numberphiles. Tells good story with plot, personalities and suspense. Fun.

*gets notification* Oh boy a new Numberphile video, gonna solve that 'unsolvable problem' with my extraordinary intelligence... *watches video* Yea, I definitely understand some of these words...

@EnderPig

7 жыл бұрын

Ibrahim Fadhil Senjaya LOL

Given how often Padilla claims that Apery was "good but not great" I get a strong vibe that he is just lowkey jelly he didn't get to solve it.

@WanisheMusic

7 жыл бұрын

I think the point is to show why Apery wasn't taken seriously by his colleagues and why it was so surprising in general that he solved the problem, when people like Euler could not. I don't sense any jealousy here at all.

@radeklew1

6 жыл бұрын

Cobalt Hey, get back to the PUBG series

@h0verman

6 жыл бұрын

this is the last place i would expect to see other nlss fans

@remixener22

6 жыл бұрын

Nice name

@dekippiesip

5 жыл бұрын

Not great as in, he solved only one major mathematical problem of his time instead of dozens like Euler or Gauss.

0:52 Of course! 1:43 Of course!! 1:56 Of course!!! 2:01 Right. 2:10 Of course!!! 2:12 Of course!!!!

@Dorumin

5 жыл бұрын

Of coarse!

@leogama3422

3 жыл бұрын

If we divide the total number of interjections by the number of "of course" occurrences we get 6/5 = 1.200. Great Apery's constant approximation!

At 2:47 Gestapo: "Is that your firearm?" Apéry: "No, i'ts my friend's _leg_!" Gestapo: "Oh"

As an engineering student I found this channel amazing, I have seen every video on this channel and every single one of them teached me something. Loving Numberphile ❤️

Well wait, hold on. What did he mean by "they grow in my garden"? It was never explained in the video!

@nahidhkurdi6740

5 жыл бұрын

Dry sarcasm by Apery when he was asked from where he got the formula as it was in disbelief on the part of the audience that seemingly couldn't imagine Apery succeeded where Euler failed.

@nahidhkurdi6740

4 жыл бұрын

@@at7388 I know all of what you said and much more. Specifically I appreciate the magnitude of Euler's intelligence so that If Euler did not solve it after concentrating for a week, then it might be difficult for ordinary mathematicians to do it in years of work.

@xxnotmuchxx

3 жыл бұрын

@@nahidhkurdi6740 i was thinking maybe he does math outside in his garden.

Wow, I'm impressed... Tony does a video related to the Riemann zeta function without mentioning a certain negative rational number.

This is some of the first use of Monte Carlo i've seen in Numberphile which I think has been a real missed opportunity for the channel as MC is such an interesting topic. I think it could make an interesting video to talk about how we can approximate other constants like pi and e or solve integrals etc. using random numbers.

@oniondesu9633

7 жыл бұрын

the buffons matches video uses a monte carlo method to calculate pi

If you pause the video at 4:45 you can read some part of the demonstration (in French). The 6th point starts with "si on a de la chance.." means "if we are lucky" which is kinda funny in such a paper

Quantum electrodynamics sounds quite intimidating. 7:00 respect the dedication

"We recognize that, of course, as the riemann zeta function" Me, stuffing another handful of cheetos i my mouth: "Yeah, of course"

10:09 Uhmm yea... sure..

@ilonnolan9259

7 жыл бұрын

When I try to explain maths to my sister

@tansoon8257

4 жыл бұрын

Watch Mathologer's video on the Riemann Zeta Function! It helped me understand the coprime part

@MushookieMan

3 жыл бұрын

You don't need to understand what the Riemann Zeta function is, the crux of this video is just some basic statistics.

6:02 Matt Parker: "I tried..."

@lukeinvictus69

7 жыл бұрын

The numbers could almost fit. You could say it was a bit of a Parker square! hahaha im funny validate me

Every Tony video I watch, I wonder why he's not a mathematician. He seems to be very passionate about mathematics and numbers!

"That's why it worked.... Make sense?" Amazing! Maybe it made sense to Euler, but not to me.

Big applause ! Love this kind of videos, where something relatively simple but not known is explain, like how calculate zeta function of integers with twitter. Love it !

FINALLY! I've been wondering for 3 months what you wanted these for

8:00 quite a ... Parker Square

@treboralpha

7 жыл бұрын

Brotcrunsher 😂😂😂

@rchandraonline

7 жыл бұрын

That's what Matt tends to say too..."not bad"

@y2536524

7 жыл бұрын

(first digit comes out and is correct) Matt : Not bad , look at that

@stevethecatcouch6532

7 жыл бұрын

How is doing exactly what he set out to do a Parker square?

@ALiJ4LIFE

7 жыл бұрын

I can imagine Matt's voice: LOOOOK AT THAAAT!!

As a layman, I appreciate the way you warn me that you're about to cite some historical mathematical gobbledegook I've never heard of by prefacing it with the words "Of course"

Fascinating. Though, Matt Parker have done this for his Pi day video for ζ(2) to estimate π.

So far, the best Numberphile video to me.

"not a great mathematician but just good" goes on to solve something the brilliant Euler himself couldnt solve ...ha, im sorry but that should *instantly* place you in the great category, even if you failed all other things

@pianoclassico718

4 жыл бұрын

indeed , that was an inappropriate and disrespectful remark and in fact to this day many mathematicians have tried and failed to generalize apery's proof although his proof got them closer to it , which indicates his impact.

@hassanakhtar7874

4 жыл бұрын

No wtf?

@keir92

4 жыл бұрын

I believe he was referring to him prior to having solved this

@xialemai6412

4 жыл бұрын

Yup, kinda disrespectful from Tony Padilla....

@knexman427

4 жыл бұрын

Consistency over luck I recon

(6:03): This is the moment in this video that earned my thumbs-up!

Very clever and a great way to demonstrate how it generalizes to the real world. Thanks!

Fascinating! I like Padilla very much

His estimate is actually the closest he could have got with only 87 random triads of numbers! Makes it even more impressive!

0:37 "It's a *crazy* number." Twitter... Crazy... Yep, it fits

@YT7mc

7 жыл бұрын

PlayTheMind lol so true

@ruiyingwu893

7 жыл бұрын

true

@jakequi

7 жыл бұрын

Didn't think I'd see you here PlayTheMind haha

@grexz1

7 жыл бұрын

Playthemind ,when is your next video ? :D

i love Tony! more of him please

amazing stuff for non mathematicians. Great divulgation, thanks!

i always read Oiler in my head when someone mentions Euler and think they're some sort of specialized bike mechanic who goes around oiling things

@elietheprof5678

4 жыл бұрын

I used to pronounce Euler like "Ferris Bueller"

@usageunit

4 жыл бұрын

@@elietheprof5678 I still pronounce it like that, and just to really rile up the mathematicians, I also pronounce Euclid as "Oiclid".

Tony is back!

8:07 really mind blown. Explanation is even better.

"OK. how...? why?" his excitement is my favourite part of this video. Like a child that really wants to show something he or she learned at school. this kind of enthusiasm for maths is what needs to be introduced to children and students imo.

The probabilistic interpretation of the inverse zeta function at integer values was really clever! Never thought of it that way.

Wow man. This video made my day.

I'm no mathematician but that was amazing.

Absolutely wonderful, thanks.

I've already seen it. Brady uploaded the live stream of the editing. Great editing Brady!

NIST: "so where did you get these huge elliptic curve numbers, P and Q, from?" NSA: "they grow in our garden" NIST: "perfectly acceptable answer, standard approved !!!" Alice: " wtf ? " Bob: " fml :( " Bruce: " ffs !!! "

We missed you Professor

It really bugs me that he doesn't write 1/1^s

@furrane

7 жыл бұрын

He did, you just don't see it =)

@petros_adamopoulos

7 жыл бұрын

@Furrane yes, it's like the invisible motorcycle meme.

@BizVlogs

2 жыл бұрын

1/1^s equals 1 for all complex numbers, so 1:38 is correct afaik

I like this type of video keep it up

I love you. Please continue.

An open ended question of integers usually results in a logarithmic distribution.

THIS is why I watch Numberphile

This was so beautiful!

That roundabout demonstration using Twitter was super cool.

These are priceless gems for the grand archives. Brady keep 'em hot like this.

Note that the letter pi in the latter part of the video is an upper-case pi (means product). The pi at the beginning is lower-case (the constant pi). Both of them are discussed in the context of Euler though...

I like how Google reads my mind recommending videos. I have a math clock, and just saw the 1 on the clock (which in my case is apery's constant).

This is just like Matt's video he did for Pie Day, I wonder who they got this idea from!

@twwc960

7 жыл бұрын

I was just going to say the same thing. He looked at pairs of numbers instead of sets of three, which give an estimate for ζ(2) which Euler shows was equal to π²/6, and so it gives an estimate of π.

Gotta love the one they kept on the screen longest was 69, 420, 9001 XD

Great video

I like his happy little face at 10:09.

On a completely different note, I did find a simpler way of representing the ceiling function with an infinite sum of the sign function (or my version which is x/|x|) and moving it around, it might simplify the collatz conjecture or something

This is essentialy what Matt Parker did on pi day. But it's nice to see how this generalizes to other values of the zeta function

Just ran a little simulation in Mathematica. Turns out asking if three numbers are coprime in Mathematica (CoprimeQ[a,b,c]) is NOT the same as asking if the greatest common divisor of the three is 1 (GCD[a,b,c]==1). In the first case, it checks each pair of numbers to see if they are coprime and returns true only if ALL pairs are coprime. In the second, it simply finds the greatest divisor common to all three. So, CoprimeQ[2, 4, 9] --> False, but GCD[2, 4, 9] ==1. To approximate Apéry's Constant, you have to use GCD.

That's an amazing result!

6:03 - what a Parker square of a reply

This was beautiful math!

Actually, 1.208333 is as accurate as it can be with that sample size. 87/73 = 1.1917808(irr), so 1.20206 sits right between those two values, meaning this was actually exactly perfect. Amazing.

He's like so happy in the end :)

dat iz ossome ! nice vid :)

"69, 420, 9001" What a spicy meme

"the chance that any random number is dividable by p, is 1/p", i learned something :O

When Padilla writes the word prime I can't stop seeing the word prune.

Fascinating!

Damn, this was a great video!

This guy is amazing!

Great stuff.

I have a suspicion that he stopped counting after he got pretty acurrate number.

@kcwidman

7 жыл бұрын

Ľubomír Šalgo Matt Parker knowledge.

@jort93z

7 жыл бұрын

i dont think so. its not about the overall amount of tweets. so theres really no point in stopping early. if he were to manipulate it he'd simply pick the tweets with a coprime and no coprime in the correct amount relative to eachother.

@lubomirsalgo7638

7 жыл бұрын

He said in the video that he chose them. He might have had 100 total, and started removing them until he got the desired accuracy. He might have had 80 and started adding only those that would get him closer to the constant. Whatever way it was done, never trust sample sizes that aren't round numbers.

@jort93z

7 жыл бұрын

well but what would be the point?

@lubomirsalgo7638

7 жыл бұрын

Look up Boofon's needle.

Woah that's amazing!

Breathtaking

This stuff goes way over my head.

"Is that a gun?" "No it's a leg"

Somebody needs to photoshop Euler dabbing.

Tony is the type of guy that grows on ya

I was looking at another tab when he mentioned Euler, and I immediately knew that Brady put that picture up.

7:50 Wow, that's a lot to do by hand. I'd suggest heading over the CS dept first next time to get a quick script that'll automate it

By using the arithmetic series 1/(1-r) = 1+r+r^2+... with r=1/p^3 and a simple combinatory argument, using the fundamental theorem of arithmetic it is not hard to see that Apéry's constant equals the product over all primes p of (p^3)/(p^3-1). So Apéry's constant is the limit of n to infinity of the ratio a/b where a = prod{i=1 to n} (p[i]^3) and b = prod{i=1 to n} (p[i]^3-1), p[i]= the i-th prime number and a and b are coprime and get arbitrary large. But the sheer fact that we need arbitrary large numbers a and b to express the representation a/b for A is not yet any proof that A itself is irrational. After all 99999999... /100000000... = 1. Didn't expect to solve it, just nice stuff to play with!

-be born 150-200 years ago -make a convergent series with a bunch of low digit numbers -call the constant after yourself -??? -get remembered at great mathematician -be immortal in the memory of people

@fossilfighters101

7 жыл бұрын

-profit

@iamTheSnark

5 жыл бұрын

Underpants! Actually, others named it after him.

bruh the ending of this video blew my mind

When I saw Tony and ζ in the same video I got so on edge waiting for that -1/12 to appear out of nowhere.