@@honorarymancunian7433 Not so surprising, though. People tend to underestimate how many primes there are. Between 1 and 100 one in four numbers is prime. Between 1 and 1000 one in six is prime. For instance, near 613, the numbers 607 and 617 are also prime.
@@stevenvanhulle7242 This one is weird: 127 and 113 are the first prime numbers with a difference of 14, from each other. I mean there are no other primes between them.
I wonder if the compression will "steal" digits or frames or change/alter digits and introduce artifacts, in effect altering the theoretical number of digits displayed.
Luke used publicly available cloud GPU time, spot pricing. Pretty impressive really. Sometimes the spot prices are very affordable and he took great advantage of that. Along with scripting to coordinate work distribution, starting new instances when the prices were "just right", and so on. GIMPS is very happy to have his contributions. His efforts progressed the search for the next prime YEARS ahead of where we would have been otherwise.
I kept thinking: he must have a timer behind the camera, right? And yay, it was revealed! It's still so impressive how you can talk in one take, manage the timing, and envision how the visuals will be displayed, quickly enough to do it on the beach on vacation. Maths RUclips legend 🙇♂️
@@lazykbysEvery time a Mersenne prime is found, an Angel is made to clean out the Elysian Stables. There are many hyperhorses, and very much hyperhorse poop. This is the reason for their tears...😢
Edit: First ever Mersenne prime exponent with 9 digits Current goals for PrimeGrid-related programs: Find the first ever Wall-Sun-Sun prime, third Wieferich prime, third Wolstenholme prime, fourth Wilson prime, and the sixth Fermat prime Other current goals: Find the first ever composite Fortunate number Current goal for 196: Be the first ever Lychrel number in base 10
You can disprove your own statement with the information taught in this video! Fermat's little theorem states that a^(p-1)≡1 (mod p), which means that 2^16≡1 (mod 17). It follows that 2^136,279,841=2 * 2^(16*8,517,490)=2 * (2^16)^8,517,490≡2 * 1^8,517,490≡2 (mod 17) So our prime, 2^136,279,841-1≡2-1≡1 (mod 17). The remainder is nonzero, so the number is not divisible by 17. And this is why we love Fermat's little theorem.
I was thinking of asking a snarky question of "Now is this the last one?". Obviously it isn't. As you noted, there will always be infinitely more prime numbers left for us to discover.
Its more important that it is a Mersenne prime, so it leads to a Perfect number , and there is no proof that there are infinitely many perfect numbers ;)
what's the largest prime number where we know all the prime numbers up to it? doubling your number every time before checking it misses a lot in between
First human to see all of the digits! (Probably- randomly happened to go to RUclips the moment the video dropped and have been pausing each time I need to blink)
I love how it visibly affects the video quality when you start streaming the digits due to the video compression being negatively impacted by the randomness that is all those digits rapidly changing.
Hi Matt! I’m doing my undergraduate senior thesis on Mersenne numbers and related topics, mainly because I’ve been a fan of math RUclips for many years so obviously this is huge news to me. I’ll have to go and update my presentation I’m giving in about an hour!
Imagine you and your husband - after much hard work for the last few months - take a flight down to Australia for a few weeks with some close family/friends to have a small break away from work and life in general. You have a wonderful time exploring the local area, the beaches are beautiful, and you greatly enjoy going around this new area with your loved ones. Then - randomly one day - while sitting around doing nothing of note back at your hotel room, you see your husband check his phone; his eyes light up as he starts speed-reading a news article. He silently and immediately gets up, sits down at his laptop, and rapidly searches for information on various mathematics-related news sites, before opening a Word document and frantically typing away at what you can only assume is a... script? But you're on holiday, away from all your responsibilities of work. "Honey, are you okay? What's going on?" He stops typing and slowly cranks his head around, only stopping once his eyes are perfectly aimed at yours. His expressionless face staring deep into your soul, his jaw loosens, and he says: "They found it." (This is my personal headcanon for the origins of this video, I'm totally sure it's 100% accurate description of how it went down lmao)
Damn near dropped everything in order to listen to the news. I remember when the 2016 video was released and I was equally amazed back then, as well. Math is awesome.
How well do prime numbers compress? If you represent it as binary (not ASCII 0/1, but actual binary) and put that into a zip file, does it even shrink?
Nice! just started doing some GIMPS myself after reading "Things to Make and Do in the Fourth Dimension" (well i'm still reading, a few chapters left...)
A few times a year I check in to see if a new prime was found at GIMPS. A few times in the past I did my own searches for much smaller unknown primes and found 3 different ones that were temporarily on the top 5000 primes list.
If you pause a video in RUclips on desktop, you can then use the '.' and ',' keys (period and comma) to advance one frame forwards or backwards in the video. That way you won't miss any of the digits!
In binary, all the digits are 1 (just like all numbers formed by 2^x-1). Way easier to write! The file size of the number alone (uncompressed) is 136,279,841 bits or more than 17 MegaBytes! That's like 5 songs! That's one big number
Just as a side note. If you pick up all the primes you or a computers knows, multiply them all and add OR subtract 1, and then take the prime factorisation of that you are guaranted to find a new prime. Ofc the problem is calculating the prime factorisation itself.
Even if I was a pretty early watcher (7 minutes ago), I was watching with subtitles on at the beginning because RUclips thinks I don't know english (ESL). Google's linguistic reductionism has disallowed me from being one of the first people in the world seeing this prime number. I demand compensation and I'm thinking no less than a googol dollars!
I sometimes have a recurring nightmare where there’s something so uncontrollably and overwhelmingly big and it’s too much to handle, this video gives the same vibes. Even a single frame in this video is more than I can imagine. Like my heart rate is up just from watching this
Had to scroll down because my head genuinely started hurting from how big that number is. I got stressed trying to comprehend it. Is this some type of phobia? It's definitely some kind of irrational reaction.
@@rileybaker8294 Thanks! Weird how this is the first time I've had this reaction. I guess its Matt stating that its 4000 digits per frame and 25 frames per seond that did the trick.
Wait till you hear about Graham's number, even the number of digits of the number of digits of the number of digits is absolutely incomprehensible. This prime number is really not that big, you could fit it in 1 book. You couldn't fit graham's number in a billion universes.
There will be millions of primes in between this one and the previous largest known prime. Also, a quick calc indicates this latest one might be divisible by 13. I might need to double-check my working though.😉
To put ~40m digits in context, all seven Harry Potter books were about 1 million words long. That translates to roughly 6 million characters long (including the spaces). So imagine the entire Harry Potter series were converted to a single number instead, and then repeat 7x.
Run time of 10:13, 613 seconds. Both 1013 and 613 are prime.
That's honestly great
Dating primes? Meeting at the right time maybe?
@@honorarymancunian7433 Not so surprising, though. People tend to underestimate how many primes there are. Between 1 and 100 one in four numbers is prime. Between 1 and 1000 one in six is prime.
For instance, near 613, the numbers 607 and 617 are also prime.
@@porof5ercan
One must meet in the prime of their life.
@@stevenvanhulle7242 This one is weird: 127 and 113 are the first prime numbers with a difference of 14, from each other. I mean there are no other primes between them.
Cycling through the digits on screen is SO bad for the compression/bitrate on your face lol
My face!
Beard.
Looks fine in 4k :)
luckily switching to 4k fixes that problem - even if you don't have a 4k screen lol
I wonder if the compression will "steal" digits or frames or change/alter digits and introduce artifacts, in effect altering the theoretical number of digits displayed.
a video where you can watch the youtube encoder sweat
Reminds you just how much data is being stored and transmitted for 1 video
Luke Durant now suddenly has a meeting scheduled tomorrow to explain the electricity usage for the last 12 months in the data centers he manages 😂
Yeah, my question: who paid for all the computing time?
Luke Durant is (was?) the principal engineer of CUDA Software, NVIDIA.
Luke used publicly available cloud GPU time, spot pricing. Pretty impressive really. Sometimes the spot prices are very affordable and he took great advantage of that. Along with scripting to coordinate work distribution, starting new instances when the prices were "just right", and so on. GIMPS is very happy to have his contributions. His efforts progressed the search for the next prime YEARS ahead of where we would have been otherwise.
Luke really put finding the next prime number over mining bitcoin with all those GPUs, i respect that
I kept thinking: he must have a timer behind the camera, right? And yay, it was revealed! It's still so impressive how you can talk in one take, manage the timing, and envision how the visuals will be displayed, quickly enough to do it on the beach on vacation. Maths RUclips legend 🙇♂️
He could manipulate the speed slightly. Easy Peasy
Fully appreciating how precise the timing of the start/stop was
RUclips's compression is STRUGGLING with the number display!
Rats, I blinked and missed some of the digits.
You just need to watch it a few times and hope you blinks happen at different times
I'm pretty sure I saw the silhouette of a weeping angel in those digits.
You can just pause the video when you need to blink 😂
i read this comment and missed some digits
@@lazykbysEvery time a Mersenne prime is found, an Angel is made to clean out the Elysian Stables. There are many hyperhorses, and very much hyperhorse poop. This is the reason for their tears...😢
Edit: First ever Mersenne prime exponent with 9 digits
Current goals for PrimeGrid-related programs: Find the first ever Wall-Sun-Sun prime, third Wieferich prime, third Wolstenholme prime, fourth Wilson prime, and the sixth Fermat prime
Other current goals: Find the first ever composite Fortunate number
Current goal for 196: Be the first ever Lychrel number in base 10
THATS PRETTY BIG
THAT'S A LOTTA NUTS
for you.
I tried putting it into my calculator to try dividing it by 3, but it was too big.
It's average.
@@CKyIeWas creating a heuristic for finding prime numbers part of your plan?
Actually I’m pretty sure that’s divisible by 17
You can disprove your own statement with the information taught in this video!
Fermat's little theorem states that a^(p-1)≡1 (mod p), which means that 2^16≡1 (mod 17).
It follows that 2^136,279,841=2 * 2^(16*8,517,490)=2 * (2^16)^8,517,490≡2 * 1^8,517,490≡2 (mod 17)
So our prime, 2^136,279,841-1≡2-1≡1 (mod 17).
The remainder is nonzero, so the number is not divisible by 17.
And this is why we love Fermat's little theorem.
Ok this is nicer than my proof
but here's a question: is 2 a primitive root for infinitely many primes?
Sam's right it is divisible by 17......... and pi.
@@thisnamewastakentoo_ 💯 but not e…… obviously
You have a wrong digit in the number,
Digit #21,755,124
It should be 9 and not 1
Yeah, that bothered me too. The video editor really screwed this up when typing in the numbers smh my head 🙄
So it's even bigger!
Casually doxing hundreds of thousands of phone numbers.
I like the idea of using this number in this way to make static noise.
Except it isn't random noise. It's predictable.
@@scottgriz It needn't be random - its just visual noise. I like it specifically because it's not random, because it is specific and particular.
The worst thing is that there are infinitely many primes bigger than this number
I was thinking of asking a snarky question of "Now is this the last one?".
Obviously it isn't. As you noted, there will always be infinitely more prime numbers left for us to discover.
Its more important that it is a Mersenne prime, so it leads to a Perfect number , and there is no proof that there are infinitely many perfect numbers ;)
what's the largest prime number where we know all the prime numbers up to it? doubling your number every time before checking it misses a lot in between
The compression algorithm really struggles when the number starts scrolling by
Bitrate is king.
Honestly that is the perfect location to talk about this in
2:18 challenge accepted
First human to see all of the digits!
(Probably- randomly happened to go to RUclips the moment the video dropped and have been pausing each time I need to blink)
Rip RUclips's compression
I love how it visibly affects the video quality when you start streaming the digits due to the video compression being negatively impacted by the randomness that is all those digits rapidly changing.
Hi Matt! I’m doing my undergraduate senior thesis on Mersenne numbers and related topics, mainly because I’ve been a fan of math RUclips for many years so obviously this is huge news to me. I’ll have to go and update my presentation I’m giving in about an hour!
Congrats! This is huge news! We now also have a new perfect number as a result of this!
There‘s an error in 3:07 . The leading 4 should be a 7…
Now, How long of a continuous PI sequence can you find inside that?
The decimal expansion contains 3141592, but not 31415926
Now you need to do a video explaining why your digit scrolling is so terrible for mpeg (or whatever RUclips actually uses) compression
Tom Scott did a great video about that
Reminds me of how confetti ruins YT compression. Tom Scott did a video about this.
Usually vp9, unless you are on an older Apple device, then it will be h.264.
i was using that prime as my password, time to change it now, thanks luke
5¾ years! 50 million powers of 2 with no Mersenne primes!
Wake up babe, new prime number just dropped!
That’s quite big.
RUclips's compression algorithm is like: "what the heck?!"
Bitrate: And I took that personally
Sorry to be that guy but i spotted a misprint at 6:06. There should be 6 instead of 9 in row 16. You're welcome!
there's no way that actually happened, matt should have double checked the number before uploading!
it's a parker prime
The running numbers are crushing the compression
Imagine you and your husband - after much hard work for the last few months - take a flight down to Australia for a few weeks with some close family/friends to have a small break away from work and life in general. You have a wonderful time exploring the local area, the beaches are beautiful, and you greatly enjoy going around this new area with your loved ones.
Then - randomly one day - while sitting around doing nothing of note back at your hotel room, you see your husband check his phone; his eyes light up as he starts speed-reading a news article. He silently and immediately gets up, sits down at his laptop, and rapidly searches for information on various mathematics-related news sites, before opening a Word document and frantically typing away at what you can only assume is a... script? But you're on holiday, away from all your responsibilities of work.
"Honey, are you okay? What's going on?"
He stops typing and slowly cranks his head around, only stopping once his eyes are perfectly aimed at yours. His expressionless face staring deep into your soul, his jaw loosens, and he says:
"They found it."
(This is my personal headcanon for the origins of this video, I'm totally sure it's 100% accurate description of how it went down lmao)
Where did you leave children for all that time?
The bitrate is not keeping up
Nice to see an international conglomerate of computers working together.
we got a new largest prime before gta 6
1:11 “RUclips Compression Hates This One Trick!”
1:11 the compression doesn't know what to do haha
Even with powerful computers, it's crazy we can verify something this large is prime. That's a very, very large number.
So they found the new Optimus Prime
Optimus Prime is Optimus's derivative
Or Optimus Double Prime's antiderivative.
Getting a look at Australia before this summer's IMO huh? This remarkable discovery should to some extent be featured there too!
Incredible! Although I believe the first link in the description is an old biggest prime, not the new one
The YT compression algorithm is having a stroke
Damn near dropped everything in order to listen to the news. I remember when the 2016 video was released and I was equally amazed back then, as well. Math is awesome.
How well do prime numbers compress? If you represent it as binary (not ASCII 0/1, but actual binary) and put that into a zip file, does it even shrink?
It's available on the website, compressed in a zip file.
11mb zip, 24mb text file.
Fascinating. I wonder how many more exist.
Holiday or shipwrecked? 😁
"Wait, a beard? How long did that take to film?" --Matt "Chuck Noland" Parker, 2024
Thanks for the digits! My work network said "Oh god, NOOO" to 720p and I had to watch in 480p.
Nice! just started doing some GIMPS myself after reading "Things to Make and Do in the Fourth Dimension" (well i'm still reading, a few chapters left...)
i like how the timing of the 551 emulates that famous rocket explaination ending with it lifting off
A few times a year I check in to see if a new prime was found at GIMPS. A few times in the past I did my own searches for much smaller unknown primes and found 3 different ones that were temporarily on the top 5000 primes list.
All of the digits in binary are:
1
We should replace Subway Surfers with scrolling primes
Oh no! I blinked too!
Watching it is rather calming.
Matt is turning out to be just like Tom Scott by filming in a location like this, haha
It's looking warm in Cleethorpes today.
Good that RUclips didn't think you were attacking the system with this codec nightmare.
A server that I was planning to contribute to GIMPS with just arrived at my door a few hours ago, what a coincidence.
What's the carbon footprint of running this cloud GPU supercomputer for a year. Someone tell the guy running that about climate change.
Just finished staring at a number on 2x speed for 3 minutes straight (very worth it)
Michael Perusse is so happy right now.
If you pause a video in RUclips on desktop, you can then use the '.' and ',' keys (period and comma) to advance one frame forwards or backwards in the video. That way you won't miss any of the digits!
Great video!
Thank you for taking time out of your vacation to share this exciting Maths Moment™ with you Matt.
Utterly utterly insane
You got me at "ending at 55....1". For a second I though "how the hell is a number ending with 5 a prime..." :D
watching this twice to make sure I have seen every digit
And as you start to scroll... the data rate just tanks.
That absolutely destroyed the RUclips's compression algorithm! Turns out rapidly changing digits is about as bad as falling glitter.
In binary, all the digits are 1 (just like all numbers formed by 2^x-1). Way easier to write!
The file size of the number alone (uncompressed) is 136,279,841 bits or more than 17 MegaBytes! That's like 5 songs!
That's one big number
Just as a side note. If you pick up all the primes you or a computers knows, multiply them all and add OR subtract 1, and then take the prime factorisation of that you are guaranted to find a new prime. Ofc the problem is calculating the prime factorisation itself.
But is it numberwang?
Even if I was a pretty early watcher (7 minutes ago), I was watching with subtitles on at the beginning because RUclips thinks I don't know english (ESL). Google's linguistic reductionism has disallowed me from being one of the first people in the world seeing this prime number. I demand compensation and I'm thinking no less than a googol dollars!
This is a really cool video, thank you for taking a break from your awesome vacation to show us this !
And I just about had all the digits of the last prime memorized. Well time to start over...
I sometimes have a recurring nightmare where there’s something so uncontrollably and overwhelmingly big and it’s too much to handle, this video gives the same vibes. Even a single frame in this video is more than I can imagine. Like my heart rate is up just from watching this
As close to aleph-null as the former record prime.
Does this change anything like practically or theoretically
that beard and cap combo is only missing a fishing vessel!
He’s back💥🔥
Tip: put the playback speed at 0.25 so you have 4 times as long to read each set of 4000 digits. Hope this helps!
Thanks for interrupting your vacation, Matt!
My eyes are aching..😢
At 2:15 there is a nice redhead on the right
Had to scroll down because my head genuinely started hurting from how big that number is. I got stressed trying to comprehend it. Is this some type of phobia? It's definitely some kind of irrational reaction.
Numerical megalophobia or meganumerophobia
@@rileybaker8294 Thanks! Weird how this is the first time I've had this reaction. I guess its Matt stating that its 4000 digits per frame and 25 frames per seond that did the trick.
Wait till you hear about Graham's number, even the number of digits of the number of digits of the number of digits is absolutely incomprehensible. This prime number is really not that big, you could fit it in 1 book. You couldn't fit graham's number in a billion universes.
@@bluelunala The fact that it scrolling by isn't exactly pleasing to look at might've also contributed?
(then again, I'm just guessing)
There will be millions of primes in between this one and the previous largest known prime. Also, a quick calc indicates this latest one might be divisible by 13. I might need to double-check my working though.😉
That's crazy cool!
Holiday videos are the best
To put ~40m digits in context, all seven Harry Potter books were about 1 million words long. That translates to roughly 6 million characters long (including the spaces). So imagine the entire Harry Potter series were converted to a single number instead, and then repeat 7x.
I think it would be worth citing the energy used for this prime search and seriously asking if we should have.
finally we know what people do at the severed floor!
1:12 Godspeed, bitrate.
holy bitrate batman!
I was just waiting to see if it would end in 2.
What company in San Antonio is selling cloud computing functionality? Rackspace?
Big number go brrrr
44 MINUTES?!! NICE. YEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH