87,539,319 - Numberphile

[@ezraseidel9320]

Also, in the episode where Bender meets Flexo, Bender thought that it was funny that they both had serial numbers that were "expressible as the sum of two cubes."

[@lolicanadian]

Futurama: "The Lesser of Two Evils", Season 2 Episode 6. (I just happen to know that off the top of my head.)

[@moonman2183]

@@lolicanadian Thank you. Your memory has done a great service

[@KakashiBallZ]

Ramanujan looks like a badass.

[@nickfelten5068]

He is.

[@anitamcsd1]

I

[@rylaczero3740]

The situation hasn't changed in India, there are still people like Ramanujan working as clerks, unable to find their Hardy.

[@marceelino]

@@rylaczero3740 lol

[@antivanti]

In another episode of Futurama when they scan Bender's head the number 6502 shows up on his CPU chip which is a nod to the MOS-6502 which was the CPU used in for example the Atari 2600, the Nintendo NES (8bit) and the Commodore VIC-20.

[@StormCoreFilms]

Keep bringing this guy back, he's awesome!

[@schr4nz]

I remember when I read about Ramanujan, it was when I was looking at algorithms that converge on Pi rapidly, his series equation is in heavy use for this today - it was sad to read that he died so young, imagine the discoveries he could have made with that brilliant mind; yet only living to be 32 years old :/

[@numberphile]

If you are wondering about Brady's mo... see link in full video description!

[@JACKxTHExRIPPER]

You guys could do like a whole week of Futurama math and numbers jokes.

[@FranksDead]

Brady, how can such an intelligent man have such a misguided mustache? Love your videos.

[@numberphile]

FranksDead It was Movember!

[@Hogscraper]

+Numberphile I said those exact words to multiple people at staff meetings last Movember. People generally stop being funny about it when you mention testicular cancer, though.

[@doctortequila5268]

+Hogscraper Agreed.

[@Qladstone]

I don't get it...

[@superballsfour20]

The state of it...

[@drilltv1075]

At 2:26 it looks like the Pi symbol is on Simon's head...

[@josesosa5944]

Camaro zl1 huh k98 r 79

[@tehalexy]

lel, i saw it ;D

[@NoriMori1992]

Where…?

[@caringheart34]

@@NoriMori1992 forehead

[@h-Films]

@@josesosa5944 inspirational

[@thinkingofreality]

Well, Prof. Singh, you are bringing awareness of Ramanujan now, and I appreciate your diligence:)

[@MetalSilvan]

Yes!! I love Simon Singh! I've discovered Fermat's last theorem with his book!

[@rjhrjh3]

In case anyone was wondering the first few numbers in the sequence are 1,729 4,104 13,832 20,683 32,832 39,312 40,033 46,683 64,232 65,728 110,656 110,808 134,379 149,389 165,464 171,288 195,841 216,027 216,125 262,656 314,496 320,264 327,763 373,464 402,597 439,101 443,889 513,000 513,856 515,375 525,824 558,441 593,047 684,019 704,977

[@ishouldhavetried]

6,963,472,309,248

[@GrantParker]

Ramanujan also lived on through that one little story in Good Will Hunting :)

[@Mechanikatt]

6,963,472,309,248 is the first one of "rank 4", for people who don't want to try and pause at the exact right time around 5:50.

[@asheep7797]

According to KZbin's viewership graph, most people watched that part, meaning they just kept rewinding to try to read it.

[@NZAnimeManga]

Huh... interesting, i'll take more notice of numbers in tv shows from now on :D great vid as always!

[@PapperLapper]

Dude, I just watched your reviews for today, and now, you're also on numberphile! This is pure awesome!

[@suvanshsharma7878]

i once found this:- 2736= 12^3+10^3+2^3 = 13^3+8^3+3^3 also 12+10+2=13+8+3 i think this is the smallest number which can be expressed as sum of 3 cubes in 2 different ways...

[@tomerwolberg37]

No, the smallest one is: 5^3+5^3+1^3=6^3+3^3+2^3=251. And also in this case 5+5+1=6+3+2=11.

[@asheep7797]

Their theorm stood for 3 years before swiftly being disproven in an Euler-esque way.

[@XxVideoGamePlayersxX]

Dear Simon, I just got your book as a birthday gift. Very excellent piece if literature. I hope you continue to write more novels on the world of mathematics.

[@jackbandit2114]

One thing I like from Futurama kind of number related is in the one with the werecar. When he sees a bunch of ones and zeros on the wall and it doesn't mean anything, but then he sees it backwards and he freaks out. It was binary for something. I always wondered if it actually said anything. Knowing Futurama it probably did.

[@vivivachi]

1010011010 is binary for 666.

[@jackbandit2114]

Haha that actually makes me lol. I should have figured. Thanks for that.

[@fakjbf]

Taxicab number of rank 4 = 6,963,472,309,248

[@MultiPaulinator]

Yes, I caught the frame, too and ^this^ comment is typo-free. I'm kidding. I'm not actually replying to confirm his comment; I was just wanting to help float his comment to the top of the page.

[@TechLaboratories]

I love these Numberphile videos that are showing the homages to maths in pop culture! There are really cool people in the world!

[@jmac217x]

I will truly miss Futurama. Every episode had something brilliant hidden away somewhere. I was just watching an episode I'd seen before the other day and picked up on something I totally overlooked before. The writers for Futurama are some of the most smart and tallented people to work on television.

[@jasondalton9590]

But they did it on Season 11, that Futurama was back.

[@arthoin]

You are the smartest pineapple on earth.

[@davidlericain]

Holy Crap! 87 million views!! I'm assuming it's because of the NPR SciFri segment. That is REALLY impressive. Awesome work, Simon. Bringing math to the masses.

[@DaftPunkVision]

It doesn't have 87 million views...

[@asheep7797]

Were you reading the title instead of the view count?

[@RokeyGames]

Taxicabnumber of rank 4= 6,963,472,309,248

[@YJRamone]

For those that didn't notice, it appears *very briefly* in a frame of the video at @ 5:51 :-)

[@andrewtaylor6293]

Redacted

[@firzennet]

Futurama was a show that was ingenious in every way. It is sad that it got cancelled. I specially loved their movies such as bender's big score and other favourites. It was just writing at its finest.

[@NeverBeenToBrisbane]

I knew Ramanujan's story sounded familiar. His life was adapted into a movie: The Man Who Knew Infinity.

[@Yourantsally]

+Devon Farrier still in theatres

[@Jousterr]

Also in futurama when bender meets flexo they mention their model numbers and their they are both the sum of two cubes

[@heresjohnny6598]

thank you for this video, its always good to hear something interesting about math and futurama. the show has so many hidden references that not many "regular" viewers understand, total props to the writer with the Phd in applied math and please keep us looking for new hidden info.

[@homesqueeze1692]

I didn't catch any of this in Futurama, but I know for sure your explanation is raising awareness off Ramanujan.

[@boo453]

Futurama fans should watch the documentary about the maths in futurama featured on the DVD for Bender's Big Score, it's called "Bite my shiny metal X - a math lecture about math inside Futurama.". It's really good, especially if you like both Futurama and Numberphile

[@WillyTheComposerOfficial]

When Bender meets Flexo in "The Lesser of Two Evils", they recite their serial numbers and laugh, because they're both "expressible as the sum of two cubes."

[@JohnDoe-ki6fm]

Mr. Singh is very well spoken and quite insightful (I mean, beyond mathematics). I read one of his books, "The Code Book" quite a few years ago and enjoyed it. I think I will go look for another book or two of his, as well as go digging for some more Numberphile videos of him.

[@LeetMath]

People are about to get to know a lot more about Ramanujan in the general public

[@jetsmaniac4life565]

According to Wikipedia, here are some additional taxicab numbers Ta(n), where n is the "rank", as Simon put it (i.e. Ta(2) = 1,729 and Ta(3) = 87,539,319): Ta(4) = 6,963,472,309,248 Ta(5) = 48,988,659,276,962,496 Ta(6) = 24,153,319,581,254,312,065,344

[@DukeOfWupass]

Awareness of Ramanujan has been brought *now* even if it wasn't before.

[@Natedawg422]

In the Futurama movie, "Benders Big Score", did the time code on Fry's ass translate into anything significant, like a message or equation? The one made of Zeros and Ones? I tried to Google it, but it seems to still be a mystery...

[@Alex-hq8ci]

HEY NUMBERPHILE can you do a video on season 6 episode 10 of futurama"The prisoner of benda" the professor makes a machine that switches minds but once you switch you cant switch back. I would love to see the mathematics of how many other people it would take to return everyone to their original bodies.

[@spinn4ntier487]

It's in his book

[@MatheusAugustoGames]

Alex Kasantsidis I think Mathologer did that

[@DrEvilAce]

I dont like maths at all, but I like very much numberphile videos, they make maths look interesting and some sort easy

[@Mormodes]

I hate saying this, but I might not have clicked on this video if I didn't see Bender on the thumbnail. So the fact that it was in Futurama has definitely increased knowledge of Ramanujan. I'll also bring up this interesting fact the next time I am watching Futurama with some friends. We aren't all particularly interested in math, but it's an interesting fact. Also, if someone were to see the number in Futurama and notice that it appears more than once, they might Google it and find out (maybe even find this video). That's tangential learning right there! I think it's awesome when writers do these kinds of things.

[@jacobstromburg5803]

Interesting that 1729 is called the taxi cab number. Maybe that explains why this guy has the haircut from Scorsese's "taxi driver".

[@TheBluMeeny]

"Nothing I have ever done is of the slightest practical use" - G.H. Hardy I think this quote perfectly SUMS up mathematics in general.

[@rory4658]

Oh yeah, hardy hated anything useful or practical, I mean seriously, he was a pure mathematician.

[@balazsmarcsek2949]

Greetings! There's actually an episode of Futurama (Lesser of two evils, s02e06) where the sum of two cubes part is more concrete: (ctrlc-ctrlv-d from infosphere) "Bender states that both his and Flexo's serial numbers are expressible as the sum of two cubes. For Flexo's serial number, 3370318 = 119^3 + 119^3. Bender's serial number 2716057 = 952^3 + (-951)^3" Really glad for finding your channel, its a delicacy for the mind :)

[@kieranreader313]

Maths was always my least favourite subject in school but the way Numberphile presents it is so enjoyable it makes me want to learn more.

[@onesevenfiveone]

I knew 1729 seemed familiar. I remember reading about Ramanajan (sp?) a while ago in a book called "Modern Science Writing". Good video, mate!

[@drulli6]

there was a episode in futurama where a binary number appears on the wall in blood that doesnt seem to have any meaning but when it is mirrored it is 1010011010 (666), i thought that was kinda cool.

[@sammy3212321]

In my maths class there's a timeline of great mathematicians from Pythagoras to Marcus du Sautoy. It's pretty wonderful.

[@facetioustitan3900]

Thanks to this video and the person who linked to it on a programming forum I read, I'm now aware of these references in one of my favorite shows and aware of Ramanujan. I always wondered how they came up with so many math and programming references and didn't know one of the writers has a Phd in applied math. I might not be super into math, but there's an appreciable beauty in numbers that I always enjoy learning about when it's pointed out. Thank you for this video :D

[@edvid5626]

i was wondering about "Rank 1729"

[@Trinexx42]

Zero is the smallest number that can be written as the sum of two cubes in multiple ways. 1^3 + -1^3, 2^3 + -2^3, 3^3 + -3^3, 4^3 + -4^3, 5^3 + -5^3, etc.

[@mikeynjs94]

Whole numbers...

[@wormworm9388]

they are whole. unless you mean positive, then yes.

[@jeffreybernath6627]

They absolutely have raised awareness about maths and Ramanujan, because we are here talking about them!

[@swaroopkunapuli7805]

India has not only got ramanujan,but also Shakunthala Devi,who holds world record in arithemetic,can you try to do a little research and videos on her brady???

[@mirriwah]

In "The Lesser of Two Evils", when Bender meets Flexo for the first time, they read off each other's serial numbers. They both share a laugh and when asked by Fry what is so funny, one of them replies "both numbers can be expressed as a sum of two cubes."

[@SirEldricIV]

So is this the same Simon Singh that I signed petitions for a few years ago regarding the chiropratic libel lawsuit and tort reform?

[@J00rcek]

yeah, this is your guy

[@Neeboopsh]

omg and he's the guy who wrote a book about (and titled) Fermat's Last Theorum, which i read a few years ago and it was wonderful. The libel suit jogged my memory further. i'm going to buy his book immediately. baller.

[@SpiffingNZ]

Those glasses... I want them... I must have them!

[@kamikazekid8424]

make a video about complex numbers , please

[@JoshuaOllerton]

6,963,472,309,248 In case you couldn't be arsed to pause on that frame.

[@joebuckfan]

I also remember another Futurama episode when Bender meets another robot and mentions that both of their serial numbers can be expressed as the sum of two cubes in two different ways.

[@carlosalexandreFAT]

Ramanujan number: 1,729 Earth's equatorial radius: 6,378 km. Golden number: 1.61803... • (1,729 x 6,378 x (10^-3)) ^1.61803 x (10^-3) = 3,474.18 Moon's diameter: 3,474 km. Ramanujan number: 1,729 Speed of light: 299,792,458 m/s Earth's Equatorial Diameter: 12,756 km. Earth's Equatorial Radius: 6,378 km. • (1,729 x 299,792,458) / 12,756 / 6,378) = 6,371 Earth's average radius: 6,371 km. Orion: The Connection between Heaven and Earth eBook Kindle

[@illustriouschin]

The easter eggs in the futurama eps do nothing to promote Ramanujan because there is no context, his name is never used, people have no reason to take notice or care.

[@galex2000]

scruffy the janitor comments: yes, but that's not the point. the point is shows like numberphile who pick up on these easter eggs and delight their audience.

[@envispojke]

Well, more than 65 000 people know about it now. And easter eggs are ment to be easter eggs, not references.

[@MetroAndroid]

In the context of just watching the show and having no prior knowledge, you're right. But, well, this numberphile video probably wouldn't exist without Futurama... and now we are all remembering Ramanujan's love of mathematics! ^^

[@Itscheho]

but people who are interested in the series might spot the reappearence of the number and then look it up.

[@dementedpenguinz]

Whenever I watch movies or shows and go through the trivia I love picking up on these sorts of little things.

[@Airblader]

Holy moly! This is the third video or so of this guy and I just NOW realized I have read one of his books a few years ago!

[@ehtuanK]

almost the same here. I read is book about the discovery of the big bang, I remembered the name, but it was just a minute ago that i finally got THAT guy in THIS video IS simon singh!

[@Airblader]

For me it was the book on Fermat's Last Theorem. Out of the ones not going in too much mathematicas certainly the best I know. I always remembered the name Simon Singh, it just sort of went completely past me that this is Simon Singh. Crazy!

[@LMB222]

Yes , "the public has noticed". The entire Futurama is filled with Polish School of Mathematics. Futurama features Banach-Tarski paradox, Mandelbrot set, and so on.

[@SH4GN457Y]

Simon Singh the first and only person I've heard say rah-mah-nuh-jin rather than rah-mah-NOO-zhen, and I gotta say I'm probably gonna trust his pronunciation of that

[@tonynv]

I can't believe I didn't realise that my recent maths trip to the University of London has Simon as a presenter. If i had known I would gone to ask him to sign my copy of the Simpsons book.

[@jasonschubert6828]

That is not Bender's serial number, it is 2716057. He mentions it when he finds out that Flexo's is 3370318 because of the low odds that both would have serial numbers that can be expressed by the sum of two cubes.

[@SquirrelASMR]

It's less amazing when I found out why he knew the property of 1729 is because he saw it before in his notebook when he was playing with fermats last theorem

[@Hyxula]

There is also an episode where Bender meets his 'evil' twin (same episode as they deliver the Miss Universe crown?) and they tell Fry that their serial numbers can both be expressed by the sum of two cubes.

[@UnchainedEruption]

I love Futurama. So many hidden secrets. You can watch it again and again and there's always something new and interesting to find.

[@Heligoland360]

They hid an easter egg in the 1st episode, for many seasons later. I really miss it, but at least it ended well

[@UnchainedEruption]

Adam Collins It ended too early if you ask me, they still had at least 2-5 more seasons to go

[@Heligoland360]

Karl Hiramanek Yeah I'm sure they could've easily taken it further, however I'm glad they didn't pull a Simpsons and drag through the mud to keep going. It was a great show that lasted longer than most, didn't get stale and had an ending that was dignified, rather than let the show become irrelevant and die. Not to say that it wouldn't be fun.

[@nicholassoland8025]

Like that time i was watching the second season over again and i realized that I have no friends. Aigf

[@Bamshi101]

Was Ramanajan the guy mentioned by the professor in Good Will Hunting?

[@10timesover42]

Ramanujan knew how to pose for a picture

[@famousporpoise3436]

The Taxi Cab Number of rank 4 is 6,963,472,309,248 and the Taxi Cab Number of rank 5 is 48,988,659,276,962,496

[@tetsubo57]

Heck, I've been known to drop such 'hidden' messages in comments. People rarely get them but it is fun when they do. When people subscribe to my channel I send them the following message, 'Thank you for subscribing, Welcome to the club.' In over four years, only one person got that message.

[@rory4658]

+Theron Boerner if there was a secret card player's club where they weren't allowed to talk about the club then they would have some problems, you know a quarter of the cards in a deck are clubs. People would hear club this and club that, of course they'd get suspicious. Soon everyone would want to join the cool kids card club and the original owners would be inundated with excessive quantities of applications. This would case one of them to walk in front of a train, one of them to hang himself, one of them to slit his own throat and one of them to make a Twitter account (he ended up worst off). So as you can see, not talking about things is bad, it leads to bad things and bad things are bad.

[@AidenOcelot]

Each and every one of my videos has a single secret. and I don't think anyone will ever get it

[@RealClassixX]

“I've been known“

[@Qladstone]

People have been 'known' for various reasons in the bible too.

[@MrBob-bj6kk]

Rory Mac

[@Samrules888]

6,963,472,309,248 the still frame about the 4th taxicab number.

[@wism881]

One of the more beautiful Numberphile videos! Great. Bought the Singh book on the Kindle store recently. Very curious. Keep up the great work, Numberphile!

[@jonwallace6204]

I totally got the BASIC gag. Things like that that I know are only Easter eggs for certain stem people are what sets Futurama apart from most sci fi. For those who aren’t programmers, the gag is that basic is an obsolete language only used for scripting simple stuff.

[@rodaraujos88]

Brady surely looks more british during no shave november

[@MyAJ91]

It's called Movember here. You're allowed to shave, as long as you don't touch the moustache. Much more effective. Moustaches very often look a lot more ridiculous than beards.

[@rodaraujos88]

:O didn't know that, Movember it is then :D as in Moustache November I suppose

[@Boycicle]

The first couple paragraphs of the Wikipedia page for 1729 describes the taxi cab situation from the video, but the article calls the Hardy-Ramanujin numbers.

[@jaredwfrick]

I drop little things into my lectures and labs and tests all the time - sometimes a kid will catch one - it is neat how much some kids know. Sometimes they catch on to certain numbers I use all the time - 28, 57, 108, 213, 243, 1112, and 7235 - all units I served with in the Army.

[@michaelempeigne3519]

the fifth taxicab number is 48988659276962496.

[@LethanoWorldwide]

This reminds me of A113 , which is constantly sneaking it's way into Pixar movies, it doesn't have a mathematical purpose but is really interesting. Great video by the way, big fan of Futurama.

[@RawkHawk9000]

I remember one episode where between 3rd and 4th Street in New New York is π Street. Not a very intellectual maths joke, but that's when I first learned what π was when I was young.

[@theMosen]

Holy shit, this is Simon Singh! I didn't realize until the end of the video. I've read three of his books, and I hardly ever read!

[@llamaboy000]

I believe in the episode where Flexo appears first Bender actually says his serial number is expressible as the sum of two cubes because Flexo's is the same way.

[@Corpsecreate]

The 5th Taxicab number is 48,988,659,276,962,496

[@yuda49]

Fermat's last theorem is a fact Fermat's did not claim that are no whole solutions to equation. Fermat's claim that are no solutions to the equation in whole numbers.

[@prelynmax]

Best number so far, 5,138,008. It has it's beautiful secrets.

[@trejkaz]

That's "its". Also I prefer flat chests.

[@prelynmax]

Indeed you do, grammar nazi; for you lack the mental compacity to illuminate beauty, a lack of vision between reality or fake.

[@siprus]

Getting the pause to taxicab number rank for was bit of an trouble, but at least watching people say stuff in slow motion look funny enough to have some comedic value.

[@MrDustinmcphate]

In the Futurama episode "The Prisoner of Benda" Ken Keeler actually presents a proof for the brain swapping problem. To my knowledge it is the only time in history that original math has been created for a TV show.

[@krystofdayne]

The best math thing in Futurama has to be the episode Prisoner of Benda though... Look it up, the story there is amazing

[@vikurtz]

5:56 Futurama is over. Forever. Damn you.

[@vineballoon]

I like this new speaker. He's just as enthusiastic as singingbanana but in a more playful perspective.

[@Zelomeisterdude]

It may raise awareness in Ramanujan by the possibility that observant Futurama viewers, though ignorant of Ramanujan, may be curious as to why the number 1729 shows appears more then once and they may seek to find out about it.

[@TheThirdGerman]

I'm not very fond of mathematics and I didn't like it in school either, but I love this channel. Incredibly interesting.

[@VikramThapar]

I have attended one of Simons talks at skeptics in the pub in Birmingham. Very interesting stuff he also has a book about maths in the Simpsons must buy for a numberphile

[@maxfamilant246]

if youre not interested in doing the calculations...6,963,472,309,248 is flashed as the smallest rank 4 taxi number

[@bnjmv]

the scene in the episode of "the lesser of two evils" where bender meets flexo and the two share their serial numbers then they laugh about it because they're both the sum of two cubes should be played or looked up by those watching this and are fans of futurama

[@michaeltrademark8885]

I dont know a single word that was said during this entire video because his haircut was so damn cool.

[@davidmaxwaterman]

I think people who aren't maths 'fans' but *are* futurama 'fans' will look into these little details and thus learn about the Indian mathematician...(looking him up...)...Ramanujan.

[@josesosa5944]

J9xjnv yuks5d you 6 k j

[@skudzer1985]

That mustache Brady...that mustache...