Find your own ABC Conjecture Triple

[@ryaneakins7269]

There's no way I could confuse this video with 3Blue1Brown. You're wearing a red t-shirt - this is clearly a Tom Scott video.

[@Jupiterninja95]

Underrated comment

[@RodelIturalde]

Yes, red t-shirt is car away from a blue Pi.

[@Dalenthas]

I cackled. Great joke.

[@kruksog]

I wanted to make a 3b1b joke, but you nailed it, managing to bring Tom in too. Well done.

[@pedroscoponi4905]

I laughed embarassingly loud at this comment, thank you

[@MissingFish]

Matt: I can't use an O as a zero. Also Matt: Lobster is a plus and Peas are equals.

[@Eagris]

That's not a lobster. It's a plustacean.

[@ZedaZ80]

Ahem, "peaquals"

[@rafiihsanalfathin9479]

@@Eagris . . .

[@Relkond]

@thomas vargas but fractions are division. You’re going to divide to get zero?

[@vigilantcosmicpenguin8721]

Mathematical standards have no rules about what the lobsters and peas represent.

[@SWebster10]

I’m worried that Matt has somehow got himself into a duel at dawn, and is trying to get all his maths out in one night.

[@Woodledude]

I wonder which clone issued the challenge? I hope it's not Beard Matt.

[@b.b4229]

Is this a Galois reference?

[@mathyland4632]

This should be top comment!

[@KennethSorling]

I get that reference!

[@simonfreds]

If you want to make primes with LEGO bricks, you don't glue bricks together. You use technic bricks which come with versions with 2, 3, 5, 7, 11 and 13 holes.

[@vigilantcosmicpenguin8721]

LEGO Technic, the official LEGO theme of mathematicians who work with prime numbers.

[@trueriver1950]

This is how physicists do maths. It's true but with a finite number of exceptions

[@beaclaster]

bricks?

[@aug3842]

@@beaclasterlego bricks

[@mathyland4632]

Geez Matt is going crazy here with the upload schedule!

[@simoncrabb]

He's spoiling us. And a numberphile video too!

[@user-iu1xg6jv6e]

He's going crazy to hit 1M subscriber ASAP

[@QuantumHistorian]

A sprint for 1 million? Or does he know something we don't and is manipulating the youtube views market in a dark and mysterious ways?

[@trickytreyperfected1482]

@@QuantumHistorian probably the latter

[@jamez6398]

He filmed these ages ago and then edited them all and uploaded them in a very short span of time.

[@MonzennCarloMallari]

Obviously the Parker = Not Parker conjecture is the hottest thing in the math research world recently, as in 2019

[@vigilantcosmicpenguin8721]

He's a Parker Parker!

[@tparadox88]

Parker = Not Parker confirmed because we can tell he's working very hard.

[@khoda81]

in case you are wondering, the tshirt says "Geek".

[@cpt_nordbart]

Yeah... I did the work though.

[@StedeBonnett]

@@cpt_nordbart Me too :-)

[@timangus]

I also did it, but thought it said Leek 😛🤷‍♂️

[@Tahgtahv]

@@timangus I thought it said Guuk. I guess I gave it a Parker go, and misplaced a bit. Geek makes way more sense.

[@ellieban]

Can you explain how? I get that it’s binary, but how does that become the letters?

[@CwazyBagel]

"Will you accept a lobster as plus?" I have to say, I've never heard that one before

[@archivist17]

In my experience, the presence of a lobster has invariably been a negative 🦞

[@darylbangerter7171]

Hail Lobster

[@RadioactiveLobster]

@@archivist17 How dare you!

[@moopara7991]

Wow, that looks like a really dangerous weapon at the end there

[@danielpape839]

Thank you Matt for the opportunity to highlight this topic, we are really overwhelmed by the contributions ❤

[@LordVoidFury]

19:52 I see your unspoken flex of one-upping a log-log axis with a loglog-loglog axis. I've never seen it done and I am so impressed.

[@pedroscoponi4905]

"I'm gonna use this to measure the earth!" The security staff at the Shard: I'm about to end this man's whole career

[@macgyveriii2818]

Soooo True.

[@BeheadedKamikaze]

Whole video*

[@harry.tallbelt6707]

I mean, they still got a pretty reasonable estimate for R

[@bbgun061]

Oi! You got a loisence for that protractor?

[@bsharpmajorscale]

@@harry.tallbelt6707 They were within an order of magnitude or something. In the overarching scope of the universe, they were basically 100% accurate.

[@martijndekok]

End of the video comment: Matt could have given away two Matt sized Cubits, but Hannah Fry seemed to have "misplaced" them. ;)

[@Dalenthas]

I spent the whole episode waiting for a 3B1B cameo and the minute I look away I hear Grant's voice. Then I look back and it's coming out of Matt's mouth 😅

[@hauruck7959]

Exact same thing happened to me hahaha

[@vigilantcosmicpenguin8721]

I love the way Matt pulled that one. I'm sure quite a few of us were hoping this would lead up to a cameo, but nobody expected it to happen like that.

[@ashtonsprunger]

Cracked me up when it went into Grant's voice!

[@aikumaDK]

Now I'm curious if this is just a short burst of extra creativity or if Matt has upped the ante, gunning for the 1mil subs.

[@Cerzus]

Let's hope it's the latter, but also for him not being satisfied with only 1mil. He might still try to surpass Steve Mould.

[@ElectroNeutrino]

I feel like we're kind of getting spoiled here.

[@NoNameAtAll2]

he's still isn't there yet :(

[@TikaelSol]

You broke the 7! How? It has no factors!

[@flmbray]

He broke maths too

[@artemetra3262]

yea it does, 7! = 2^4×3^2×5×7

[@mitchkovacs1396]

8:48 Nice catch, you have Matt-like reflexes

[@GaryFerrao]

18:18 "No one is gonna confuse this with a 3 Blue 1 Brown video". yes. it's a 3 Red 1 Beard video lol

[@GaryFerrao]

It's Brown. the Beard is Brown.

[@MrWayne147]

At this pace, matt will have finished maths in about a month (except the magic square of squares ofc)

[@rickwoods5274]

"... in general. It turns out there are infinitely many exceptions." Mathematicians lol :P

[@jessehammer123]

That’s not as crazy as it sounds. Positive integers in general are not prime, but there’s infinitely many exceptions.

[@rickwoods5274]

@@jessehammer123 I know it's not, and that is indeed a good example of why! It's just funny to put those words together in that order and have it mean something real, and maths is kind of the only domain where that happens.

[@Xxyter2]

That part made me laugh

[@johnchessant3012]

Exquisite syncing on Grant's voiceover :D

[@cereal_chick2515]

I wondered what Matt's take on the IUTT controversy was. I'm glad to see he's an adherent of the Redundant Copies School.

[@nekkowe]

Oh yeah, gosh. Have there been any news on that since Mochizuki's own journal went ahead and published his proof, without clearing up Scholze and Stix's concerns at all? I couldn't really find anything more recent.

[@loganstrong5426]

"Snappy, specifically the peas." I don't know Matt, I think the lobster is pretty snappy too...

[@Nosagram]

Matt: "Measure angles?" Beard Matt: "Measure the Earth" Matt: (Mumbles behind his own bearded self) "Measure badly"

[@hebl47]

To be fair, it was the mr-i-don't-understand-humour security guy's fault for taking away his protractor.

[@kasamikona]

"12.38, uh, and some stuff" spoken like a true mathematician.

[@Macieks300]

To be honest even after watching this whole video I still don't understand the ABC conjecture. And I first heard about this conjecture like 10 years ago.

[@cytobii]

i was promised something and got "We found 0 triples for 269 ≦ rad(a) < 270, 417 ≦ rad(b) < 418." Thank you.

[@GreaTeacheRopke97]

i think it's normal - i'd have to watch this again to say i definitely understand the math 100% but it seems reasonable that the site is only searching a certain "region" of the graph at a time and some regions just won't have any hits. alternatively it might be double checking previous work (if there is some reason that some processors would make a mistake, idk) and reporting zero *new* hits. as you keep trying, you'll see the numbers changing and you'll get results sometimes.

[@emilyrln]

It took me several tries to get a non-zero result. Le sigh

[@MichaelBerthelsen]

Gotta love maths, where there's a perfect rule with infinite exceptions.😂

[@pyglik2296]

2:50 "It pains me to use an O for a 0..." Casually uses lobster for a plus.

[@onebronx]

Good-sized fresh lobster is always a plus

[@VaradMahashabde]

Never had I thought that two Matts could overlap! Wild stuff happens when you rush the upload schedule.

[@nightchicken3517]

Yes, Mr. Maths I will accept the lobster as plus, thank you very much for being considerate

[@scragar]

Where did you get your shirt? "Geek" in binary feels exactly like the sort of shirt I'd wear but I've never seen one before that doesn't also have horrible logos or some insulting comment at the bottom claiming the wearer is smarter than the reader.

[@MrConverse]

“GEEK” in ASCII?

[@zXrabidrabbitXz]

“Geek” to be precise

[@MrConverse]

@@zXrabidrabbitXz I wondered about the case but not enough to check myself. Thanks, Jason!

[@Wouter10123]

@@MrConverse You can see by the 6th bit (3rd from the left): 0 = upper case, 1 = lower case.

[@MrConverse]

@@Wouter10123 Yep!

[@mjtsuk]

You went from a log-log plot to a log-log-log-log plot at about 20:00. I'm not sure I believe the graph actually goes 10^0, 10^10, 10^100, 10^1000.

[@fucktube1535]

yes, the steps change from multiples to order of magnitudes

[@avi12]

18:00 That's some top tier editing

[@truejeffanderson]

log estimation tip: The log of a number is roughly the count of the digits in the number, when the log base is the same as the base of its argument. log(238140) ~ 6 and log(210) ~ 3, so log(238140)/log(210) ~ 6/3 = 2. So we know the answer will be greater than 1 and less than 3. But since the beginning digits of the numerator 238... is larger than 210, The answer is greater than 2 and less than 3. This is sometimes useful for me. Like in your video, I had the estimate in my head right away: 6/3 = 2 Not a complex tip, but has been useful for me.

[@Pistolsatsean]

Matt I love how you've clearly taken steve's advice to heart! Love that recent videos!

[@arduous222]

Wait, I think this is the first time I saw a graduate scholarship sponsored an educational youtube video. I'm crying...

[@deleted-something]

What an irony that the abc conjecture is one of the hardest ones to prove

[@Gunbudder]

Matt's shirt says "Geek" in ascii, to save you the trouble lol

[@Wordsnwood]

hands up everyone who went looking for a binary-to-ascii converter to read his shirt. Well done, sir.

[@kyle30312]

No need - I have ASCII memorized from much time spent poring over TRS-80 Color Computer ROM disassembly listings in the 80s. 🤓

[@johnladuke6475]

I like how the whole time Matt's talking about and looking towards these graphics that someone else made for the video, there's just no graphic on screen and it's an ad pitch for the wall decorations.

[@officiallyaninja]

he tried so hard to avoid being 3blue1brown that he turned into science asylum.

[@pvic6959]

i for one am loving the mattiverse

[@ProfessorPanyck]

Poor bearded Matt has no idea what is in store for him and Hannah

[@impishlyit9780]

Ngl, the vague phrases of "the radical of all these together" and "the quality of the triple" (probably the technical phrasing, but I digress) had me lost for a bit. I'm really glad you showed the comparison of the quality against the epsilon term, that really told me what that meant lol.

[@kenziemckenzie-bennett5399]

You're an amazing content creator Matt! Keep doing great maths!

[@oscarfirth-gieben9550]

Matt's t-shirt says, "Geek."

[@trueriver1950]

Corollary: squaring a number doubles the quality

[@georgemissailidis3160]

It isn't a 3blue1brown video, it is a 3matts1graph video

[@mostly_mental]

Great video as always. This is the first explanation I've seen that clarifies the ABC conjecture enough for me to feel like I understand the problem (if not the solution). Thanks!

[@patrickdillon8554]

very geeky tee :) love it

[@Aut0mati0n]

You usually don't see longer odd-numbered LEGO pieces because you can build up anything from the smaller prime pieces of 2 and 3.

[@alin_ilies]

I found your strategy: Make as many videos, using different easter-eggs in order to gain more viewers and subscribers. You used Steve Mould, CGP Grey, Numberphile and 3blue 1 brown. The 1 milion subscribers reward is comming soon.

[@dogeteam2235]

my most favorite 3blue1brown so far! Nice work Grant.

[@magneticflux-]

18:23 More like a 3Red1Matt video lmao

[@prestonbyrd8443]

I've long since forgotten the meanings of most of the words you use, but I'm happy to be here all the same.

[@thegametrainer9004]

now i need A 🦞 B (Pea pod) C t-shirt 😭

[@animarain]

We got a Parker Square update video, a Hannah and Matt video, and 4 days in a row with Matt videos being released. Christmas came early this year! I wish Parker Christmas lasted forever!

[@humanperson2375]

If I understand correctly. The ABC (A+B=C) conjecture currently is: prove that q

[@BenSpitz]

No, this is not the conjecture. The conjecture is that, for any e>0, there are only finitely many coprime triples (a,b,c) such that c > rad(abc)^(1+e). The case q=2 (in other words, e=1) is only one of infinitely many cases that the conjecture considers!

[@delecti]

If you use a tiny drop of acetone on the surface of a LEGO, you can more permanently fuse bricks together.

[@renerpho]

8:59 Ah yes, the famous "Parker vs. Non-Parker" conjecture.

[@X_Baron]

It seems that Mochizuki's alleged proof still contains some hand-wavey parts. If you don't accept its validity, you just "haven't understood it properly", which they can always repeat, no matter what their opponents say.

[@michaelsmith4904]

“I have discovered a truly remarkable proof which this margin is too small to contain.” (hint: it uses the proof of Fermat's Last Theorem to work the other way)

[@connorwhitworth3172]

Matt’s videos are like London buses… you wait ages for one and then three come at once 🤣

[@AerialFrameworks]

Sometimes I worry i’m not going to enjoy your videos, but you are honestly, genuinely, really funny.

[@SigSeg-V]

Can I just point out the U block looks suspiciously like the UnrealEngine logo? Lol

[@3dbyeb971]

When you first pulled out the blocks I thought you were going to present the following problem. What is the minimum number of blocks required to spell all words of N length?

[@trueriver1950]

Breaking a seven: that portends mirror year's bad luck.

[@DaveCurran]

That's a T Shirt only a Geek would wear. I approve.

[@daanwilmer]

1

[@danielstephenson7558]

As soon as Matt got the 2x5 and 2x7 lego pieces, my brain flipped. "They don't exist do they?" Later on... "ah..."

[@xyzct]

It's about time Matt dabbles a bit with quality.

[@marklonergan3898]

That graph... I got lost, but the conclusion i got from "if you zoom out far enough they're essentially the same" is that low margins of error = no margin of error... That sounds like a parker mentality to me all right! 🤣

[@HiopX]

Hey 3Brown1Blue, it's nice that you collabed with Matt, but I prefer the talking pi

[@GaryFerrao]

I've been seeing a lot of Matt lately on KZbin. in October. and it's barely just begun.

[@filipsperl]

Why are there like 5 new videos wirh Matt in the last 2 days?! I LOVE IT

[@TofuMogul]

Get Matt to a Million 2021 !!!!!

[@aimeerivers]

I love extra Matts just pointing and nodding ❤️

[@NoFancyTitlesNeeded]

Grants animation software is revolutionizing the world of math.

[@ProgressiveEconomicsSupporter]

Thank you so much for this 3Bald1Bearded Video 😎

[@smtsjhr]

that matt->grant vocal transition was wild!

[@nathanruiz3424]

I'm so confused and excited at the same time like what?!? 3 vids back to back?

[@cbuchner1]

A 🦞 is always a plus.

[@sarmilakumar1818]

I just read the t shirt and it says geek, I learned how to read binary from Tom Scott who is the guy know for wearing red shirts.

[@markjreed]

For anyone wondering, the shirt is the binary representation of the ASCII codes for G e e k

[@christopherdwyer9496]

Sorry to be this person but G e e k. Only the G is an uppercase in the ascii conversion.

[@markjreed]

@@christopherdwyer9496 Good point. That 32 bit makes all the difference.

[@kikivoorburg]

2x5 and 2x7 Lego bricks are a horrifying sight to any Lego fan… what unholy beast have you unleashed‽

[@SteinGauslaaStrindhaug]

I really though epsilon was pronounced epsi-lon not e-psi-lon

[@scottdebrestian9875]

epsilon comes from 'e psilon' i.e. 'simple e'. So pronouncing it with an emphasis on the psi rather than the e is closer to the Greek original, though not generally pronounced that way by most Classicists, at least in the US, who use the 'conventional' pronunciation.

[@joseville]

8:18 follow up. Matt, I spotted a mistake: the quality is not the average height. In your example: n = 238140 = 2^2 * 3^5 * 5^1 * 7^2 radical = 2*3*5*7 = 210 quality = log(n) / log(radical) = ~2.315 Lego construction base = 2+3+5+7 = 17 area = 2*2 + 3*5 + 5*1 + 7*2 = 38 avg height = 38 / 17 = ~2.235 The quality and avg height are definitely related in some way, but they're not equal. See my other comment as well.

[@SmileyMPV]

Average is a more general term than just the arithmetic mean. See for example geometric mean and harmonic mean, which are also averages.

[@joseville]

@@SmileyMPV I'll Grant you that, but average height sort of implies arithmetic mean. Anyways if he didn't mean arithmetic mean, which mean did he mean, know what I mean?

[@SmileyMPV]

@@joseville It's the weighted arithmetic mean of the stack heights, weighed by the natural logarithm of the prime base. Indeed, for n=p1^a1...pk^ak we have q(n) = log(n)/log(rad(n)) = (a1*log(p1)+...+ak*log(pk)) / (log(p1)+...+log(pk)).

[@totheknee]

5:18 - You case use acetone to weld them into a single piece. ABS will melt and weld nicely with acetone.

[@bsharpmajorscale]

As someone who plays Four 4s on a regular basis, 210 is very familiar to me, since it's easy to get with one 4 (σ(4)#, aka sigma 4, and then the primorial of that).

[@bitomic7577]

It would have been even funnier if at 18:00 there were 3 Matt with a Blue shirt and q Matt with a Brown shirt. Then no one would ever confuse it with a 3Blue1Brown video for sure.

[@munjee2]

Four matt Parker videos in the same week I not something you see all the time, I will cherish this week henceforth

[@tobyblunstone1367]

I knew I recognised that font but couldn’t for the life of me figure out where from! I love that style of animation

[@artham2676]

With all that cloning I was expecting at the end that you say " it's ok to be a little crazy"

[@purple_sky]

Haha love that cameo from Grant

[@olleicua]

I'm such a geek, I had to pause and find an ascii table to read your shirt

[@dannywilliams23]

Who else was wondering "Where's he going to get five- and seven-stud Lego blocks?" Then to hear GLUE! Matt, I thought more of you than that!

[@ferociousfeind8538]

7:41 What you appear to be doing is calculating roughly the average height of the stack. Take 900, for example. 2*2*3*3*5*5. The stack is two blocks tall. log(900) / log(30) gives exactly 2, no matter the base. Because the bricks are exactly 2 blocks tall. Same with 27000, its quality is 3, its tower is 3 blocks tall. Larger primes being repeated gives a higher quality than smaller primes being repeated, but if all of them are repeated an equal number of times, the quality is that whole number.

[@ferociousfeind8538]

8:17 yeah!!!! It is the average height! Roughly, at least, not sure the bias exactly matches with the width of a brick, I don't actually know how they interact. But yes, the height, the height!

[@zxk]

1:34 wait, did I travel back to the 50s or smth?

[@ShahrukHossain]

Oh wow, 3 videos in a row ! Lucky week !

[@dibenp]

I love the call back to Parker versus non-Parker. 👏