How do you prove a prime is infinitely fragile?

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Consecutive primes which are widely digitally delicate.
people.math.sc.edu/filaseta/C...
Data from the paper:
people.math.sc.edu/filaseta/C...
Here is the bonus footage. • Infinitely Fragile Pri...
And yes, the theme song (along with the remix) is on Bandcamp as 'pay what you want'. So you can download for free, or pay something to help support the channel. standupmaths.bandcamp.com/tra...
More than ever, thank you to my Patreon supporters for making this video possible. It is also their fault that the next SUM-007 will be called "The Spy Who Loved e". They got to vote on ten pun titles and "The Spy Who Loved e" beat second-place "No Time to π" 239 votes to 226. / 53485855
Help support and shape the videos I make! / standupmaths
CORRECTIONS
- At 00:33 there is a "33" which should be "53". Mistake first spotted by Andrew Foong but I'm going to claim it's some hidden message about the number 33.
- I say k is a "positive integer" a bunch when it should be "non-negative integer" to include zero. Like at 06:30, 08:48 and 14:35 (thanks Martijn Oostrom!). The formal statement on-screen at 17:15 is the official correct version showing that n is positive but k is non-negative.
- Robin Houston noticed that the on-screen text at 4:19 says Erdös instead of Erdős. Excuse me while I delete the whole channel.
- Let me know if you spot any more mistakes!
As always: thanks to Jane Street who support my channel. They're amazing.
www.janestreet.com/
Music by Howard Carter
Lyrics and vocals by Helen Arney
Animations by William Marler
Filming and editing by Matt Parker
Maths graphics by Sam Hartburn and Matt Parker
Colour grading by Alex Genn-Bash
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/bo...
UK book: mathsgear.co.uk/collections/b...

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27 июл 2021

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Комментарии : 1,5 тыс.

@standupmaths 2 года назад

Apparently some Patreon People cannot find their Fragile Prime at the end of the video. They're all there! If you ask on this post I can confirm what yours is: www.patreon.com/posts/54207228 AND YES, 33 isn't prime. Should have been 53. But it happened at the 33 second mark, so maybe it's a big conspiracy.

@MatthewLiuCube 2 года назад

33 is a prime. We're all being lied to.

@MatthewLiuCube 2 года назад

in all seriousness, insightful video, amazing production quality too thanks for sharing :)

@gibrana9214 2 года назад

It happened at the 0:29 second mark. It was just there at the 0:33 second mark.

@noellelavenza494 2 года назад

It may not be a prime, but it tried pretty hard and almost got there, even if it still failed in the end...

@fahrenheit2101 2 года назад

@@gibrana9214 Shhh...

@DOHandDOH 2 года назад

The 007-inspired intro is a masterpiece. Also, the fact 007 is mostly leading zeros is pure magic.

@sleepycritical6950 2 года назад

Don't you mean double (infinite) O seven?

@caminoprojectUS 2 года назад

And its a prime

@iantaakalla8180 2 года назад

Too bad 007 isn’t a fragile prime

@idontwantahandlethough 2 года назад

@@sleepycritical6950 LOL you're right... he's actually 000000(repeating)7

@idontwantahandlethough 2 года назад

I know right? Nobody else (except maybe the writers of Bojack Horseman) would think of that pun and then decide to go through the process of hiring a singer and possibly an extra animator and put such an insane level of polish on it. That pun cost at least 1000 dollars and I say that's quite a good deal all things considered lol

@mythology2467 2 года назад

"We've proven they exist and that there are infinitely many of them but they are too huge to compute and we don't know a single one" If that isn't the most maths thing I've ever heard I don't know what it! xD Great as always

@caracaes 2 года назад

If mathematicians could find the first one of them, it could be used to narrow down the search for large primes, since any number with the same ending as that would automatically be not prime.

@caracaes 2 года назад

Although I think the first one of them is already several orders of magnitudes above the largest known prime

@DavidGuild 2 года назад

@@caracaes I think that would be much less helpful than you think.

@yonatanbeer3475 2 года назад

@@caracaes searching for large primes is actually pretty easy, checking for primality in general can be done with an algorithm that runs with a complexity of something like O(ln(n)^5) for an n digit number.

@AttilaMatolcsy 2 года назад

@@caracaes we know that the only even number that is a prime is 2. It narrows things down, but finding one widely digitally delicate prime (from now on wddp) would help only when we reach the next time it ends with the same digits. which are 9 cases for every x digit long numbers. (xxxx yxxxx y0xxxx y00xxxx). Checking every other numbers to that number would slow things down there. The question would be if it is worth the effort to check if the current number does not end to a wddp compared to checking those special cases to every previous prime. If the first wddp is 100 digits long it would mean that for the next set of numbers, half of a Googol -9 times, it would be an unnecessary check and only in those other 9 cases it would help things.

@Qermaq 2 года назад

Hey, if anyone should have a 007-styled theme, it's Grimes. James Grimes.

@ragnkja 2 года назад

Just so you know, it’s James Grime, not James “Grimes”

@Qermaq 2 года назад

@@ragnkja Yeah, I was playing off "James Bonds". :D

@nonachyourbusiness1164 2 года назад

@@Qermaq You've committed crimes against movies and their characters. What say you in your defense?

@Qermaq 2 года назад

@@nonachyourbusiness1164 #ParkerPost

@zanews23 2 года назад

@@Qermaq But the character’s name isn’t “James Bonds” either 🤔

@Standaardnaam 2 года назад

Matt: I will spare no effort on this intricate opening sequence, including James Bond remix of tune. Also Matt: Let me explain this by writing on this pdf while the software turns all my lines into arrows.

@gdclemo 2 года назад

Except when he tried to draw an arrow... and then it turned the arrowhead of his arrow into an arrow.

@vigilantcosmicpenguin8721 2 года назад

If he's James Bond, the animator is definitely Q.

@PanduPoluan 2 года назад

@@gdclemo "Yo dawg I herd u liek arrows..."

@michellejirak9945 2 года назад

I just think of the arrow as a Parker line.

@achtsekundenfurz7876 2 года назад

Parker: "Here, it's really simple..." his tablet: * _laughs in PDF_ *

@jackeea_ 2 года назад

That intro was a religious experience, I love it

@darrendarby1189 2 года назад

Transcendental.

@andreizonga4611 2 года назад

@@darrendarby1189 Too irrational, I think. Well, at least it wasn't too complex or even imaginary!

@redpepper74 2 года назад

Best part of the video, totally. (Oh, besides 24:18- _that_ was definitely my favorite moment.)

@vigilantcosmicpenguin8721 2 года назад

You could hypnotize someone with that.

@PTNLemay 2 года назад

Was not expecting that. Definitely loved it.

@voidmayonnaise 2 года назад

I have a gorilla with very weak fingers. He’s my digitally delicate primate.

@MrScorpianwarrior 2 года назад

Haha. Clever.

@vigilantcosmicpenguin8721 2 года назад

Still haven't discovered an infinitely digitally delicate primate.

@jimbobobtel 2 года назад

Mine has the same issue but has a really broad hand span and is thus considerably more apposite to the video. He's a widely digitally delicate primate.

@hamblance5938 2 года назад

First off, you can’t have a prime 8…

@zackbuildit88 Год назад

@@hamblance5938 you can in an irrational valued non integer base

@tanya8628 2 года назад

log(😅) = 💧log(😄)

@gachanimestudios8348 Месяц назад

ln(💕) = 🩷ln(🩷)

@swarnajeetpaul7743 Месяц назад

log(♂️)=♐log(⭕)

@CodeParade 2 года назад

Surely the same process would be simpler and have smaller primes for base-2... I wonder if a "binarily delicate prime" could be found within reasonable computation constraints?

@redpepper74 2 года назад

Every time I come across some kind of interesting phenomena that relies on base 10, I always ask, “what’s it like in other bases?”

@Ricocossa1 2 года назад

That's a really good idea. Maybe it's even doable by hand. There are only 2 values of d to cover

@TheIsaiahgriego 2 года назад

@@redpepper74 Same

@danielyuan9862 2 года назад

@@Ricocossa1 I'm trying to do this, but it's actually harder than it looks, even for 2 values of d. I used mod powers of 2 to take care of one of the values, but the other one proves to be more difficult.

@Ricocossa1 2 года назад

Okay, so the problem I'm facing is that 2^p-1 is only prime if p is prime (this is unique to base 2). We need a distinct covering system (with no repeated mod bases), and I'm pretty sure this is impossible when the bases are all primes.... Given a union of {n mod p, p prime}, any additional set will either be completely redundant, because already covered by some remainder mod some other prime, or it will be disjoint from the union. There's a theorem that says that disjoint covering systems cannot be distinct....

@TechCavy 2 года назад

Production quality of the titles tends to infinity as video number tends to infinity

@willwhite1987 2 года назад

... which doesn't tell anything about the quality of this particular video, but it was brilliant.

@maxwellsequation4887 2 года назад

Hello time traveller

@geekjokes8458 2 года назад

@@willwhite1987 *monotonically*

@zfnQRZJT 2 года назад

@@geekjokes8458 That still doesn't tell anything about the quality of this particular video. But it was still brilliant

@jkid1134 2 года назад

Parker compliment

@HebaruSan 2 года назад

I like it when mathematicians work on things that generalize rather than being specific to base 10.

@standupmaths 2 года назад

Well, you're in for a treat then.

@yonatanbeer3475 2 года назад

I actually find number theory phenomena which are base-10-centric quite uninteresting.

@isaacmammel9186 2 года назад

@@yonatanbeer3475 General results are great, but imo it's also interesting when results only hold for specific bases, and seeing why that's the case

@geoffgranger718 2 года назад

All bases matter. Don't be a baseist!

@hotdogskid 2 года назад

Its a good thing every base is base 10

@123_king_me9 2 года назад

I love the contrast between the high quality animated intro and the pdf annotation with letters awkwardly constructed from arrows.

@MarkTillotson 2 года назад

Steve Mould for Q perhaps? Weaponized chain fountains and suchlike.

@Rattiar 2 года назад

I liked this video halfway through the "Digits are Forever" song. That was enough. I am sure everything else will be gravy, but you already have my enthusiastic applause. That was amazing.

@Rattiar 2 года назад

The end song...*chef's kiss*

@zephaniahgreenwell8151 2 года назад

Damn. This new James Bond has me hyped!

@joefaber4397 2 года назад

James Bond, agent 00000...007

@frechjo 2 года назад

James Bond: The primes are not enough. Or maybe James Bond: License to factor. Or is it James Bond: Doctor Nº.

@daanwilmer 2 года назад

@@frechjo Of course, this one was "Digits are Forever". Other suggestions are: - From infinity with love - You only count twice and of course: - The Man with the Golden Calculator (working title until negotiations with Casio have concluded)

@edwardlane1255 2 года назад

Tau (more 0) never Pi's ?

@vigilantcosmicpenguin8721 2 года назад

Live and Let Pi Pi Another Day Tomorrow Never Pis No Time to Pi

@avikdas4055 2 года назад

After the famous grothendieck prime 87, we finally have the parker prime 33.

@Bennici 2 года назад

33 gave it a go to become a prime, and ended up just one factor short of being one. It fits too well.

@petertaylor4980 2 года назад

Wasn't the Grothendieck prime 57?

@dogdrovenorth 2 года назад

Typographically 33 contains two brilliant primes! Its their close proximity that breaks them.

@avikdas4055 2 года назад

@@petertaylor4980 Probably yes. I got confused between the two because both looks primish but isn't...as 87=3×29 and 57=3×19...both 19 and 29 being primes

@vigilantcosmicpenguin8721 2 года назад

@@petertaylor4980 87 is the Parker-Grothendieck prime.

@Qwerasd 2 года назад

I burst out laughing when the James Bond intro started. Bravo.

@elementalsheep2672 2 года назад

I love how the standupmaths theme is just as recognisable and catchy as any movie theme

@TheHadMatters Год назад

...?

@Itstoearly 2 года назад

What I love about these videos is I'll be totally following everything no problem and then I'll suddenly realized I have no idea what's going on or how far back I got lost.

@Robert_McGarry_Poems 2 года назад

...Ok, ok,... 1+1=2, got it. 🧐 ...😵... _Infinity!_ When did we get here? 🤔 I'm so confused.

@thefountainpendesk 2 года назад

SAMEEEE

@danielbrawner3677 2 года назад

Same

@devoltar 2 года назад

I was immediately lost after the theme song, cause my brain was preoccupied with wanting Matt to release all these great variations (variants? call the TVA!) on Spotify (and a longer version of the orchestral version)

@vigilantcosmicpenguin8721 2 года назад

These numbers are just too g-dang big.

@keyaanmatin4804 2 года назад

matt: calls 3 a great prime earlier matt: '[2 and 3] are not real primes, i call them sub-primes'

@BenKonosky 2 года назад

What's next, he says Tau is better than Pi?

@heh2393 2 года назад

@@BenKonosky *gasp* HERESY!

@dielaughing73 2 года назад

Parker Primes?

@BenKonosky 2 года назад

@@dielaughing73But they weren't created by Matt, so he didn't give it a go creating them.

@Mothuzad 2 года назад

all primes are real tho

@MCPhssthpok 2 года назад

8:48 - Technically, k has to be every _non-negative_ integer since you need to consider d×10^0

@nickfaire 2 года назад

Okay. Gonna start a civil war. You mean that k has to be a natural number, right?

@MCPhssthpok 2 года назад

@@nickfaire Haha, not going there! But even the paper shows k in the union of the positive integers and the set {0}.

@nickfaire 2 года назад

@@MCPhssthpok I saw it, the paper remains just neutral about the maths civil war. XD I just like the meme, and the number 0. •>•

@adarshmohapatra5058 2 года назад

@@nickfaire Well it depends where you're coming from, doesn't it? Here in India we learn that the set of natural numbers = {1, 2, 3, ...} and the set of whole numbers = {0, 1, 2, ...} It really depends on whether you consider 0 "natural" or not. You have to consider that most cultures didn't consider 0 as a number until an Indian mathematician Aryabhatta introduced the concept of nothingness being a number on it's own. Sure some cultures used placeholders like we use 0 to fill in the gaps. Like "19_87_5" meant 1908705. But I don't think any of them considered ascribing this nothingness to a single digit: 0. The romans had an entire numeral system that did not involve 0 at all. So surely 0 was not a "natural" number to them.

@nickfaire 2 года назад

@@adarshmohapatra5058 In nowhere the set of whole numbers is {0,1,2,...}. You probably mean {...-2,-1,0,1,2,...}. Also, Aryabhatta used a placeholders too, not a unic symbol for zero. The zero was implicit in his work, but was not mentioned directly. As far as I know, the arab al-Jwārizmī was the first to normalized the use of the number zero, and then it spread to Al-Andalus, from where the venezian Leonardo Fibonacci introduced it to the rest of Europe. It was just a joke about the """war""" in mathematics about if zero is natural or not. I'm not talking about cultural-based definitions, which are not formal and therefore are not the subjecr of study of mathematics. But, as I said, it was just a joke.

@mashudonut 2 года назад

I have a learning disability that makes maths extremely difficult for me to understand, yet I really enjoy watching these videos. They're really intruiging and sometimes I even feel like I've learned something.

@zackbuildit88 Год назад

Oh! Is it dyscalculia?

@JasperKloek 6 месяцев назад

Intriguing indeed.

@Osmium78 5 месяцев назад

What is the disability

@mashudonut 5 месяцев назад

@@Osmium78 it's non verbal learning disorder It stems from my IQ having an extreme gap in between subjects Like I understand memorization work very well but math for example doesn't make sense to me whatsoever

@PeterFreese 2 года назад

The production quality of this video is over the top, from start to finish. Well done!

@chaimlukasmaier335 2 года назад

You mean from start to 16:15, right?

@avelkm 2 года назад

Now we're waiting for 1M subs;)

@fredsnicker 2 года назад

"...That can lead to 43 and the other 2 digit primes..." *Shows 33* Hol up

@jerry3790 2 года назад

It’s a new type of prime! A Parker prime

@LukeSumIpsePatremTe 2 года назад

Perhaps it was supposed to be 44 - another digitally delicate parker number

@davidgould9431 2 года назад

Oops, I missed your comment before I posted.

@davidgould9431 2 года назад

@@LukeSumIpsePatremTe 53?

@contingenceBoston 2 года назад

This fucked me up tbh

@AnnoyedEchinda 2 года назад

I forget how much I love watching Matt struggle just as hard with on screen annotation as I do. Also, the math are always way more engaging than any of my calc of diffeq classes I took through college.

@eladblaier898 2 года назад

at this point I'm certain Tao's mind has ascended beyond human evolution

@flikkie72 2 года назад

Wow, I never noticed that 502,123,813 was a digitally delicate prime - and now it's mine! 😍

@bungiebee4049 2 года назад

502,123,813

@fredrikbreivald388 2 года назад

Finally, a Bond film I want to watch

@ipudisciple 2 года назад

Go see the title sequence to Casino Royale again :)

@Liggliluff 2 года назад

The prime numbers 2 and 5 are interesting in that if you change any of the infinitely many leading zeros, it will never be prime. But if you change the 2 or 5 itself, it could be prime. You have to make up a name for that too.

@zackbuildit88 Год назад

Hey i like your Norway Fluttershy pfp

@THE_GREMLINZ_OFFICIAL 5 месяцев назад

1-10-left fragile 10^*1* *100* Left fragile

@biggiemac42 2 года назад

This is the best video on this channel, stunning work with the intro and a really good deep dive into concepts that help make this ridiculous sounding claim, digestible. Well done!

@PapaFlammy69 2 года назад

With logic?

@AxeJamie 2 года назад

Well Mensa seems to think it, and I agree, you are a genius

@smolboye1878 2 года назад

Yeah right, like that would ever work. Low IQ individuals these days...

@markt43 2 года назад

Pffft, who uses logic when you can just do proof by calculator?

@gasun1274 2 года назад

papa

@johncavanaugh3960 2 года назад

Big Brain

@mrsupizdomater 2 года назад

I mean.. Amazing intro. Cant express enough my both gratitude and excitement for just witnessing this undoubtably first-class piece of art! Hats off!

@SirDuckyOfAlfheimr 2 года назад

I love your videos! Even when I don't always understand what I'm learning I can still feel that knowledge being mashed in to my brain. And that James Bond-ian opening title was absolutely brilliant!

@6gradosproducciones 2 года назад

So we're acknowledging leading zeros now?

@SuperPhexx 2 года назад

Everything is better with a lot of leading zeroes... Example: My 99 toyota has 00000000000000000000000000000000000000000085 horse power.

@peteredwardmason6205 2 года назад

@@SuperPhexx you mean your 0000000000000000001999 Toyota?

@Liggliluff 2 года назад

@@SuperPhexx What horse power is it? This is why you should metric instead.

@SuperPhexx 2 года назад

@@Liggliluff Wooden childrens toy horses.

@mazza420 2 года назад

ive said it before, i’ll say it again, helen arney is absolutely amazing, what an intro!

2 года назад

The intro is incredible! I would love to sing it, but the lyrics are hard for me to get right. Please, could you help me with that part "To the left is not (be-???) Zeros continue to (whenever?)"

@kaidenschmidt157 2 года назад

This was such a high quality video. I personally love videos that just take a moment to discuss new papers in math!

@parallaxe5394 2 года назад

Hello. For the intro alone you deserve a like and a million subs. So happy you continue to make videos for all of us.

@randomuser8904 2 года назад

that intro made me ask my self, Am I watching a math video or a netflix series?

@standupmaths 2 года назад

Would you believe they turned me down? True story.

@NotSomeJustinWithoutAMoustache Год назад

@@standupmaths They don't deserve an edutainer of your quality Matt.

@conoroneill8067 2 года назад

This is one of the best videos Matt's done - I feel like I genuinely understand a complicated piece of maths that I didn't before.

@IanSlothieRolfe 2 года назад

Helen Arney has a great voice! Your video is good too, Matt. This kind of stretched my 45-years-ago maths education, but your videos are always fun even if I only understand them viscerally.

@Sinnistering 2 года назад

I think my favorite part of your videos, Matt, is I can watch a complicated math video for 30 minutes, and it's the perfect balance of humor to keep me interested but also actually in depth exploration of math.

@cutza7 2 года назад

Where the hell did that intro came from!? That was amazingly beautiful and I can't wait to see more!

@tibortresla 2 года назад

The intro is a masterpiece. I absolutely love it!

@StanleyDevastating 2 года назад

Really appreciating the production values, and a good topic to explain in depth as it's surprisingly understandable!

@andykillsu 2 года назад

Wow this is one of the best videos you have made yet! The 007 title sequence was amazing as well!

@herlofrumfragi4361 2 года назад

The James Bond intro was amazing

@maxreenoch1661 2 года назад

This (the tube-like covering system [hence system], starting at around 12:00) would be a pretty cool way to generate musical motifs. 1) Choose a working system with the same amount of tubes as your target scale (say C major); 2) Assign each tube to a note within said scale; 3) Adjust the system chosen in step 1 to favor certain notes over others (by making some integers fulfill more than 1 possible requirement of each tube, and checking each tube in a certain order) if desired; 4) When an integer comes along to a tube for which it fulfills the condition, play the associated note; 5) Wait until it starts repeating again (which I think it would always do*), and take the set of notes generated; 6) That's the motif. *If it doesn't, then just take part of it.

@joefoster92 2 года назад

This is my adviser and academic brothers' work! So cool to see you doing a video about it!!!

@Ensivion 2 года назад

Love the singing/effects. You found someone with quite a nice voice. This video goes into a seemingly more complicated topic but the general gist of what you were explaining made sense. This video is great for someone who is maybe more experienced at number theory problems. Modular math is one of my favorites.

@GrimboBrimbo 2 года назад

Did you just put a bond intro in an educational math video about grouping prime numbers? You're my favorite

@souptime8635 2 года назад

Wait a minute, 007 can be changed into another prime by changing it to 107. Maybe James Bond was truly Matt's "prime" example of inspiration for this video.

@bl4cksp1d3r 2 года назад

Not to forget 017!

@andrew_ray 2 года назад

Also 002, 003, and 005.

@milestailsprower4555 Год назад

00,000,000.0000004 = 0,000,000.0000004 = 000,000.0000004 = 00,000.0000004 = 0,000.0000004 = 000.0000004 = 00.0000004 = 0.0000004 = .0000004

@wsjudd 2 года назад

Holy crap, the intro was incredible. The production value is going off the chain, great job.

@leonardofontenelle3560 2 года назад

Great visual style! And nice pun with Diamonds are forever.

@kalebmark2908 2 года назад

ok so I wasn't expecting a music score in this

@123amsterdan456 2 года назад

I felt like I was watching a 007 movie in the intro (or ...000000000000000000000000000..0000000007)

@notmyname327 2 года назад

Wow, the production value in this video is just amazing. The animations! The song! The maths!

@awabqureshi814 2 года назад

2:10 best intro yet. You really outdid yourself Matt!

@menstilo9172 2 года назад

I did not expect a James Bond style intro in a maths video, good job :)

@GaryFerrao 2 года назад

OMG. This video went completely above my head. Usually i can understand maths videos, and Matt is great at explaining stuff. But this… felt more flashy, hand wavy, documentary. 😰 I tried giving it another watch… and another. But… whoosh!~ 🌬️

@dranorter 2 года назад

I'd say when he comes back from the animation of covering systems factories, he starts going way too fast.

@robertcameron-ellis6518 2 года назад

Fantastic episode. Thank you!

@noahmichaels4999 2 года назад

This is the first video I've watched of yours that just completely went over my head. I'm not sure why I can't wrap my noggin around it. I need to sit down and work through it I suppose.

@minhmouse 2 года назад

I feel like Im watching a maths documentary, not a normal maths video. P/S: I know that Helen Arney sung the opening title, but where can I get the background music?

@standupmaths 2 года назад

We've not released the background SUM-007 mash-up music because it's not that exciting out of context. And without me talking over it: maybe strays a bit too close to the original.

@dielaughing73 2 года назад

@@standupmaths hmm, 'a bit too close' huh?

@minhmouse 2 года назад

@@standupmaths But I think it's not too close. For me, it's far better than the original, especially with Helen Arney singing at the back. (Don't get me wrong, the original is still very good, this one is just better). It's still your choice to release it, though.

@thePronto 2 года назад

God: "Hmmm... I keep dogs endlessly amused by giving them tails that they can chase. What can I do that will have the same effect with mathematicians? I know, I'll make some of the numbers prime!"

@herzkine 2 года назад

..End if PI confirmed then by god, otherwise this would be needless. He knows they will find it.

@AnkhArcRod 2 года назад

Production quality has gone up by a factor for 10 in this one! That song and graphics were very well done.

@mr_rede_de_stone916 2 года назад

Very nice walking through the paper! It shows how accessible such papers can be!

@hexramdass2644 2 года назад

24:29 they're like graphics cards, we know they exist but we can't find any of them

@epauletshark3793 2 года назад

Two is the best prime, it became even against all odds.

@blackheart2728 2 года назад

I would like this comment, but it's currently at 3 and that just seems like the perfect response in itself. Why am I even leaving this message? I don't know.

@iantaakalla8180 2 года назад

Now it’s at five, another prime.

@mikew6644 2 года назад

Leaving both a like and a comment in recognition for that amazing intro song (and animation to match)

@ZaximusRex 2 года назад

This has to be one of the best episodes ever. Love it!

@Krebzonide 2 года назад

You should do a video on QR codes. You could talk about how to encode/decode them and how the error correction works. Maybe memorize the code of a link to your website do you can draw it out.

@SandraMarkusTrachsel 2 года назад

Dear Mat, that was the best title sequence in any math video on youtube!!! I am blown away!!! I am still locking for an answer to the following question: Up to which number do we know definitely every prime number? Thank you very much and best regards, Markus

@brmassa 2 года назад

congrats for your 007' style opening! amazing

@TAP7a 2 года назад

There was so much effort here and that's pretty spectacular

@Anonymouschannel8181 2 года назад

Oh man, I love this guy, I wish he was my professor when I was at university.

@tfofurn 2 года назад

"Though Matt explains, it hurts my brain!" I felt that.

@kylerice5226 2 года назад

Absolutely top notch. I sincerely hope you can make a series out of this. On a slightly better release schedule than the source of the homage can manage lately.

@neilh.4385 2 года назад

I wasn't expecting this level of production quality. LOL thanks for blowing my mind

@alsorew 2 года назад

When they finally cast woman as 007, I would vote for Matt to play Moneypenny.

@kipu44 2 года назад

🤣😂

@K-o-R 2 года назад

He'd have to be named Dollarydoo.

@oz_jones 2 года назад

I wish they would cast a man to play Queen Elisabeth

@edgarallenhoe3518 6 месяцев назад

@@oz_jonesthey have, didn't you hear?

@DigiDuncan 2 года назад

As a huge fan of math, puns, and hype, this channel never fails to disappoint. Keep being awesome, Matt and Co.

@svibhavm 2 года назад

Best Intro on any Matt videos till date. (remember that actually every intro music on this channel is top notch)

@Nic0rasu 2 года назад

OH my god! This video is ultra good!!! Continue!

@jacksonstarky8288 2 года назад

No, no, no... *headdesk* Euler clearly tells us that it's "the *pi* who loved e"... *sigh*

@Raffael-Tausend 2 года назад

oh dang, the puns XD

@sariaandrews395 2 года назад

Pi or spy, can't wait for the video. Keep up the always excellent content.

@frankbrockler 2 года назад

And let's not forget Golden i

@josephmelnick3446 2 года назад

@@frankbrockler Ohhhh deer gawwwd! Well played.

@josephmelnick3446 2 года назад

{painful eye-roll} Ugggghhhh!

@Dyllon2012 2 года назад

The value for A is probably computable. "A" will have about the same number of digits as all of the primes summed together (so printing out A would take about the same amount of paper as printing out the list of its factors). The time complexity for multiplying numbers is almost linear so that also shouldn't be a factor. According to Wikipedia, the time complexity of solving a system of congruences is quasilinear if you do it carefully so B might be computable? I'm not a number theorist though so I'm much less confident about B than I am about A being computable on current hardware.

@BenBE1987 2 года назад

The number A is about 750000 digits and can be computed in about 10 seconds with plain unoptimized Python. And given all the congruences B must be less than A. Unfortunately calculating B involves many more multiplications and divisions, which make this somewhat a nightmare to compute. In particular given the large value for A most multiplications apart from the very first ones operate on values that have several hundreds of digits. A=(756576 digits, composite, odd) B=(739341 digits, composite, even) Took about 2 minutes to perform the calculation and verification steps … That is, after the code worked correctly (which took longer).

@eric3813 2 года назад

GREAT VIDEO! Thanks for the awesome content!

@AttilaMatolcsy 2 года назад

This video is amazing. Thanks for the great content

@otakuribo 2 года назад

Everyone: the intro!!😍🎶 me: the outro also!!🎶😩👌 Helen Arney knocked it out of the park and into orbit

@Ylyrra 2 года назад

Channelling some Ladytron there!

@VorpalGun 2 года назад

The title sequence cracked me up. And then it just went on and on! Awesome.

@pedrosoares9470 2 года назад

This is my new favorite video of yours

@dblaikie 2 года назад

Snazzy new intro/graphic design - lovely stuff!

@danielmann6772 2 года назад

And now my eyes won't uncross, and I think my brain is morphing into a non-newtonian liquid. Thanks, Matt. That was an EXTREMELY dense video (or maybe it's just me that is dense). Loved the Bond themed music, would've loved to see you do the silhouette entry, but, hey, can't do it all.

@mythology2467 2 года назад

ahh yes "overproving" something in maths, or as it's otherwise known, flexing. :P

@danielyuan9862 2 года назад

No, it's not actually flexing at all, and I don't really want to explain why. It seems to be implicit in the video anyways.

@ivicino 2 года назад

Fantastic production !!!! Wow!!!

@CeleriaRosencroix Год назад

Digits are Forever is a most wonderful song, indeed. Absolutely splendid. :')

@faastex 2 года назад

The song at the beginning of the video is incredibly catchy

@otakuribo 2 года назад

Hi, I'm just here to respect your deviantArt emoticon pfp 👌

@m3myselfn1 2 года назад

I got lost halfway through the video, but still kept watching because it was interesting even tho i didn't get it

@degv364 2 года назад

Hey amazing video, amazing music, amazing maths. Thanks!

@petersontaylor2000 2 года назад

Wow, Man! How in the f*ing world don't you have a Million subscribers yet!?!?! Amazing job! Thanks for that!

@tirex3673 2 года назад

0:37 since when is 33 prime?

@RecursiveTriforce 2 года назад

Obligatory "Parker Prime"

@CodyDanielson 2 года назад

53 is missing. So maybe a typo?

@RecursiveTriforce 2 года назад

@@CodyDanielson Look in the description!

@tirex3673 2 года назад

@@CodyDanielson He answered in the pinned comment, that that was the case, though in that case, he is still missing the hexagram connections.

@lukestevens9375 2 года назад

Regarding 5:05, what do you think of the term "prime terminus" or something along those lines. That would make it clearer that any number terminating with this sequence of digits is prime.

@tr0nb0y 2 года назад

Love your videos. Been watching for years, but this is the first video that I have no idea what in the world you're talking about. Loved it, but was completely lost halfway though (when you started going through the PDF).