Exploring the mysteries of the Prime (gaps!) Line.

Video quality	The size	Download

Информация о Exploring the mysteries of the Prime (gaps!) Line.

Название	:	Exploring the mysteries of the Prime (gaps!) Line.
Продолжительность	:	24.37
Дата публикации	:
Просмотров	:	552 rb

I love how the distance between primes always has to be even, because primes are always odd
Comment from : @FruitLoops_

Actually you should use super-scripts for repeated application of logsbrAlso, there is an odd gap between primes, specifically primes 2 and 3brAnd don't forget that no one can read your internet connection if you don't have a VPN, but if you have one, you device could be sending malicious traffic, and any data could also be duplicated and sent to the VPN Provider, meaning that VPNs can be dangerous if you install them on your device
Comment from : @teamruddy611

I literally cannot turn this video up enough to hear
Comment from : @CaritasGothKaraoke

So, that is incredibly interesting At 24 million primes, one of the prime gaps appears that is probably 30-40 bigger than all the rest around 275, and that gap remains there until 10 million primes later at 34 million, at which point the gap between this gap, and the next biggest gap lessens, but there is no gap that overtakes that gap until 66 million primes So, this was the largest gap until you virtually tripled the number of primes examined
Comment from : @jimmygravitt1048

So, is that graph saying that the biggest gap between the first 1 million primes is less than 160? Fascinating
Comment from : @jimmygravitt1048

For the first two primes the most common gap is 1 But by the fourth prime, 2 takes over
Comment from : @Qermaq

video editor math going john madden on filmed matt is always fun
Comment from : @redoktopus3047

Wonderful video and subject!! also i loved this past Matt edit!! (sorry for my english im from Uruguay)
Comment from : @angeseba2009

Make a video about gaussian primes pls pike so matt sees
Comment from : @kotomangd9377

He's drunk
Comment from : @jimmicrackhead12

Isn't random pretty much defined as "a pattern we haven't recognized yet"?
Comment from : @PaulSteMarie

"Because they're all odd numbers, the gaps are all even"brbrI will NOT stand for this 2 disrespect
Comment from : @teamcyeborg

of course the paper involved Terence Tao
Comment from : @flblbl2256

Primes are a human construction?
Comment from : @WhyX11

"outrajeslii beeg numba"brbr-carpet
Comment from : @nisforno

The only reasaon I hate primes is because in high school having huge primes in a fraction meant i made a mistake 80 of the time and I never got over that feeling of betrayal even in uni
Comment from : @coltith7356

The moving orange prime gap line plot math thing at the bottom reaches 1951 at the end of the video
Comment from : @wintra8848

In the videeo 'Around 7:48 minutes', it says that there will be a gap in the primes lager than N Are you saying it has been proved that there is a a gap in the primes larger than the the largest known prime?
Comment from : @amc8954

a friend recommended a VPN to me like 3 weeks ago and I wrote PIA on the receipt thinking id get around to looking up what vpn PIA is, turns out id just randomly find it in a video
Comment from : @spartanfoxie

Primes really do go against every instinct when doing math Just having an eh, throw all we don't care about in this function physically hurts
Comment from : @tristenbrown9736

Have there been any updates on this, using vastly superior computing techniques?
Comment from : @beningram1811

what's on Matt's shirt? 🤔
Comment from : @thomasbernhardqed

Wouldn't the primorials being equal to the most common prime gaps imply that 1 is prime number, given that the first primes gap isn't two, but 1, between two and three?
Comment from : @smergthedargon8974

15:12 I've probably made a mistake here, but (ln(x)*ln(ln(x))*ln(ln(ln(ln(x)))))/(ln(ln(ln(x))))^2>ln(x) when x>34*10^100, and yes, when it gets bigger doesn't really matter, but it's just something I felt I should point outbr(And yes, I also know the base of the log doesn't matter either, but ln is shorter than log so deal with it)
Comment from : @Owen_loves_Butters

What does this tell us about the primes? That 1d is too simple a model?
Comment from : @likwidmocean

I just realised his wifi name is “one small step for LAN”
Comment from : @FishSticker

"we've independently come to-- ooh matrices!"
Comment from : @5ucur

20:47 That sounds absolutely impossible to prove
Comment from : @Owen_loves_Butters

The gap between 2 and 3 is uneven HA! Gotcha there
Comment from : @peterevans3310

Now plot gaps between when the next primorial takes over the top most occuring gap in log scale
Comment from : @alpers2123

I was watching the prime line at the end of the video, hoping it coincidentally reaches to the year this video was posted, sadly it didn't make it😭
Comment from : @AmirRazan

"As big as it needs to be gosh darn it"
Comment from : @suhnih4076

Please add subtitles
Comment from : @Eurotool

Question: Is graham's number even or odd?
Comment from : @maxniemi4584

03:41
Comment from : @norude

The first chart will map to harmonic progression
Comment from : @platonicgeometryportal5567

Scatter plot is way better than bars As Matt points out Except for when you need a drink
Comment from : @vizart2045

at 4:20 Matt states 'the probability any number n is prime is one over the log of that number, in this case the natural log' therefore the probability that 2 is prime is 1/ ln2 which is 144>1 what have I missed
Comment from : @brucebirdsanctuary1654

Primes aren’t random
Comment from : @zinithin-8208

Nobody's gonna mention the amazing song at 6:42!? I need to know what it is! Shazam can't find it I'm afraid
Comment from : @Wakssbm

Whoa! Twin primes are among the most frequent primes What value is the gap just past 2 that seems to be slightly more numerous, Matt?
Comment from : @iainbrodie5740

Whenever Matt says "I wrote some Python code" I get super excited
Comment from : @REDBULLHEADiphone

Isn't "bloke with machine that has a map of every prime" the MacGuffin of Sneakers?
Comment from : @SnabbKassa

My theory about the pattern of the most common gap between primes as more and more primes are plotted on this graph is that the shape will still approximate a straight line as it already does, but the scale will be so huge that a number like 2310 will still appear to be almost smack against the vertical axis I would be willing to bet my life on this
Comment from : @JimmyVermeer

I wonder if there is a good way to represent the clustering of those gaps
Comment from : @BlackSoap361

Why is there not a tally of 1 at the prime gap of size 1?
Comment from : @wernervanloo4684

Matt is a Kang variant!
Comment from : @richardhutnik

Any link to a prime number database?
Comment from : @hillaryclinton2415

I wonder if the time-gaps between major discoveries regarding prime numbers (and the gaps between) them follows the same pattern 😅
Comment from : @revenevan11

What if the prime gap tends to infinity?
Comment from : @shadrana1

Le cardinale π(x) pas d une valeur precise loin de grsphe
Comment from : @zzeuqdhd9598

More insight into the complexities of OptimusbrYes, it's terrible, but i had a shot, so i took it
Comment from : @iainburgess8577

Looks like croo circle pattern
Comment from : @foyjamez

past mat truly has failed me for the last time
Comment from : @bingfannumberone

Quiet video
Comment from : @youtubecomments2740

Video lasts just enough to confirm I was born in a prime year
Comment from : @msolec2000

The fact that he mispronounces "arbitrarily" just makes me love this more
Comment from : @theoriginalpm

I have no idea what he is talking about
Comment from : @LegoHarrier

Whatever
Comment from : @chriss9177

So if 30 and the bigger numbers take over, how does that not break the log pattern?
Comment from : @steelyray

I'd love a video on how they find or verify ridiculously large numbers are prime
Comment from : @stevensorensen7572

Heeeey, welcome (virtually) to the Czech Republic! :D Be sure to grab a beer along your way :)
Comment from : @MolcanAnti

Is 11 to 19 not a prime gap of 8? Did I miss something here? I know nothing about prime gaps so I’m curious if there’s more to this than I understood, thanks for any help!
Comment from : @rosehagan1504

Honestly just some of the best STEAM communication I'm subscribed to; I just love the enthusiasm and passion and humor
Comment from : @AdrianHereToHelp

I reckon the gap line will stay the same for ever The numbers taking over will be at the top on the top left just like 6 is in this image- 30, 210, 2310 etc will be just as left as 6 is now if that makes sense
Comment from : @the_Acaman

Shouldent it read "One small step for Mat^t(h)s"?
Comment from : @Patrik6920

Matt's slight disdain for prime numbers is valid, he counted some mere 300 I think out of 500 while calculating pi
Comment from : @syedmasroorhussain

Infinite doesn't exist The limit of numbers is equal to the amount of the smallest particle that exist (Electrons, quarks, ect)brbrI state this because nothing can exist that exceeds this number because there wouldn't even be enough matter to represent it thus that is the limit brbr in conclusion Infinite doesn't exist Just a unimaginably large number
Comment from : @dustinjef

shouldve used superscript and not subscript, i blame sin²(x)
Comment from : @CarmenLC

Yeah, primes are weird It's also weird how they show up in physics There are zeta functions in hydrogenic orbitals, and the symmetry group that describes quantum gravity may be the monster group (or at least vertex algebras may be a method of making quantum mechanics map conformally, and vertex algebras are related to the monster group)
Comment from : @jeremyredd4232