Twin Prime Conjecture - Numberphile

  Рет қаралды 772,504

Numberphile

Numberphile

Күн бұрын

Dr James Maynard is a leading figure in recent progress on the Twin Prime Conjecture.
More links and stuff below ↓↓↓
More Twin Primes from Numberphile:
• Gaps between Primes - ... and • Gaps between Primes (e...
Prime Number Playlist:
bit.ly/primevids
Riemann Hypothesis videos:
• The Key to the Riemann... and • Riemann Hypothesis - N...
Terry Tao video:
• The World's Best Mathe...
James Maynard's Small Gaps Between Primes: arxiv.org/abs/1311.4600
Polymath8: bit.ly/polymath8
With thanks to George Csicsery who made a documentary about Yitang Zhang: bit.ly/2nYNEIF
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.
NUMBERPHILE
Website: www.numberphile.com/
Numberphile on Facebook: / numberphile
Numberphile tweets: / numberphile
Subscribe: bit.ly/Numberphile_Sub
Videos by Brady Haran
Support us on Patreon: / numberphile
Brady's videos subreddit: / bradyharan
Brady's latest videos across all channels: www.bradyharanblog.com/
Sign up for (occasional) emails and never our best videos or important announcements: eepurl.com/YdjL9

Пікірлер: 988
@johnredberg
@johnredberg 7 жыл бұрын
Nice to see how humble he is, given the massive contribution he made.
@johnredberg
@johnredberg 7 жыл бұрын
Cheers Brady! Love your work!!
@fiqihfandrian8416
@fiqihfandrian8416 7 жыл бұрын
John Redberg isn't he just humble bragging? ;)
@gralha_
@gralha_ 7 жыл бұрын
No, he is just being modest
@johnredberg
@johnredberg 7 жыл бұрын
Fiqih Fandrian if he is (which I think he isn't), then he's doing an excellent job. Which itself would be something to complement him on. ;-)
@lzhedmitriy2719
@lzhedmitriy2719 7 жыл бұрын
LOL NOPE
@RichardButt
@RichardButt 7 жыл бұрын
It feels like Brady is trying to assemble a team of top mathematicians to crack the Riemann Hypothesis. Unfortunately, they don't seem very interested.
@aazimshahul7488
@aazimshahul7488 4 жыл бұрын
Your username says it all
@lordx4641
@lordx4641 4 жыл бұрын
@@aazimshahul7488 yeah disgusting
@erichodge567
@erichodge567 3 жыл бұрын
Problems like the RH are career-killers. No prizes are given for almost being right. None at all.
@SamuelHauptmannvanDam
@SamuelHauptmannvanDam 3 жыл бұрын
Or just overwhelmed.
@stanbest3743
@stanbest3743 3 жыл бұрын
3 years ago, its still out there :-). Intuitivley the RH is unprovable. So much hinges on it and it works so well that there is some fundemental property of numbers that means its unprovable. If you could prove its unprovable you would be famous.
@financeexplainedgraphics
@financeexplainedgraphics Жыл бұрын
James, congrats on the Fields Medal! Well deserved.
@BillAnt
@BillAnt Жыл бұрын
Recently I saw a TV show on PBS about the "Twin Prime Conjecture" featuring both Tom Zhang and James Maynard, two very smart guys. :) On April 2013 professor Tom (Yitang) Zhang of the University of New Hampshire has submitted a paper to the Annals of Mathematics as proof that there are an infinite pairs of prime numbers that differ by 70 million or less. This spurred a lot of activity in the field, such as the Polymath8 project, which lowered the bound to k ≤ 246 and recently to k ≤ 6 (general Elliott-Halberstam conjecture). The human mind is truly amazing being able to tackle and solve such difficult problems.
@apusapus71
@apusapus71 Жыл бұрын
I suspect he found it in a field.
@financeexplainedgraphics
@financeexplainedgraphics Жыл бұрын
​@@apusapus71 I need to start visiting farms more often then.
@andre.queiroz
@andre.queiroz 7 жыл бұрын
Such a passionate person! Would love to see more episodes with him.
@numberphile
@numberphile 7 жыл бұрын
We have another one in the works.
@andre.queiroz
@andre.queiroz 7 жыл бұрын
You are one of the best channels on KZfaq! Thanks for existing!
@Fk67Lg
@Fk67Lg 5 жыл бұрын
And cute too.
@MrP4RR0TT
@MrP4RR0TT 5 жыл бұрын
Numberphile he needs a podcast episode
@ihsahnakerfeldt9280
@ihsahnakerfeldt9280 3 жыл бұрын
@@Fk67Lg get in line
@michaelblakey7794
@michaelblakey7794 Жыл бұрын
Huge congratulations to James on winning the fields medal for 2022, absolutely amazing we get to watch him talk through his work
@fernandopaul1
@fernandopaul1 Жыл бұрын
Now a fields medalist!
@BrianBlock
@BrianBlock 7 жыл бұрын
This has been one of my favorite videos in recent times. Dr. Maynard was clear in his explanation and he looked so happy to be explaining it. That is the type of passion everyone needs to find in their life.
@flymypg
@flymypg 7 жыл бұрын
Brady, well done! This is what I like so much about Brady's videos across all his channels: Unlike many interview-based videos, Brady so often gets his subject to tell a full story arc before getting to their own contributions. It takes careful reading and prompting to make this happen, and to look so effortless and flow so naturally. Best of all is Brady's infectious excitement: He wouldn't be doing this unless he was genuinely thrilled by it. He calls himself a videographer, but I think that's his secondary talent. You can't do great edits if the material isn't there in the first place. And then there are the times when his subject goes into awesome mode, and Brady knows to just step back, be a videographer, and let things go wherever. Talk about being in the moment. Thanks!
@CraftQueenJr
@CraftQueenJr 5 жыл бұрын
Agreed.
@stylus59
@stylus59 7 жыл бұрын
A prime minister is a minister that is divisible by 1 and him/herself.
@vlogdemon
@vlogdemon 7 жыл бұрын
stylus59 but only 1 and theirself
@kamoroso94
@kamoroso94 7 жыл бұрын
stylus59 I heard that joke from a comedian on Conan's show.
@KWGTech
@KWGTech 7 жыл бұрын
Most prime ministers cant even
@Mrtheunnameable
@Mrtheunnameable 7 жыл бұрын
Look at Justin Trudeau.
@fossilfighters101
@fossilfighters101 7 жыл бұрын
+
@bogdanpetrovic3641
@bogdanpetrovic3641 Жыл бұрын
This man has been awarded with the Fields Medal in 2022. for his contribution.
@markstanbrook5578
@markstanbrook5578 7 жыл бұрын
There's not a single video on this channel that I don't like but this one I found particularly enjoyable to watch.
@nosuchthing8
@nosuchthing8 2 жыл бұрын
Gabriel's horn is amazing too!
@gildedbear5355
@gildedbear5355 7 жыл бұрын
The partially erased blackboard is driving me crazy.
@imrozzahan7328
@imrozzahan7328 7 жыл бұрын
GildedBear , You are psychologically sick.
@senc1971
@senc1971 7 жыл бұрын
I love that Numberphile gets these top mathematicians who are still willing to start from first principles (reminding the viewer that 2 is the first prime, etc.)....
@Joker9586
@Joker9586 7 жыл бұрын
I've made a wonderful proof in which i bringed the gap down to 2 proving The Twin Primes Conjecture. However there is not enough space in the youtube comments section to write that here.
@bojandimovski1504
@bojandimovski1504 7 жыл бұрын
Hahaha
@helloitsme7553
@helloitsme7553 7 жыл бұрын
Pierre de Fermat *brought
@Michaelonyoutub
@Michaelonyoutub 7 жыл бұрын
DAMN YOU FERMAT!!!
@BobStein
@BobStein 7 жыл бұрын
Dude, maybe you'd be happier in another line of work. Like running for office.
@akshatsethi6384
@akshatsethi6384 7 жыл бұрын
i dont think people realize what you just did there
@porriale
@porriale Жыл бұрын
Nice to see how humble he is, given that in 5 years he will win the Fields Medal
@j.vonhogen9650
@j.vonhogen9650 Жыл бұрын
As a matter of fact, James just won the Fields medal a few days before you wrote that comment.
@primenumberbuster404
@primenumberbuster404 Жыл бұрын
@@j.vonhogen9650 I think you didn't get the comment above. Porriale means that James was still humble 5 years ago when he knew that he might win a fields soon.
@onecanina
@onecanina 7 жыл бұрын
Such a humble and genuine young man. It is so refreshing and encouraging to see a brilliant intelectual mind with this personality . All the best wishes to Dr. James. Looking forward to see more videos of him!
@Goryllo
@Goryllo 5 жыл бұрын
of course you can't check with a computer, they're doing it the wrong way! They start at 0 and go towards infinity, but if they instead started from infinity and went backwards, by the time you reach 0 you would have checked ALL THE NUMBERS! Fields Medal please... Oh, it also works with the digits of Pi
@CalamityInAction
@CalamityInAction 4 жыл бұрын
Goryllo OK THIS is epic
@leonhardeuler9839
@leonhardeuler9839 4 жыл бұрын
Computers don’t know the definition of infinity since their memory is finite
@Hartfeltet
@Hartfeltet 4 жыл бұрын
We can start at the Parker infinity, which is not quite infinity, but kinda close
@kaiserauthoria
@kaiserauthoria 3 жыл бұрын
Cant start at a quantified number since it defeats the point of Infinite.
@asheep7797
@asheep7797 2 жыл бұрын
BREAKTHROUGH IN THE METHOD!
@rosePetrichor
@rosePetrichor 7 жыл бұрын
The fact that he lives and works in Oxford, where I study, makes this video a little weird as he sounds practically identical to many of my younger lecturers and tutors. This video more than many others on numberphile felt like I was being taught a class! Very well explained
@rimonshahriar9205
@rimonshahriar9205 Жыл бұрын
So happy to see James Maynard has become the fields medalist❤️
@sanskarsharma9494
@sanskarsharma9494 Жыл бұрын
Congratulations on the Fields Medal Professor!
@pavelhoral
@pavelhoral 7 жыл бұрын
Really great video... congrats to dr. Maynard and Brady, your questions always amaze me... great work as well.
@jazzsoul69
@jazzsoul69 4 жыл бұрын
I like the way he moves when he talks, like he got a funky side 😎 but also very humble nice and smart !! thank you very much to him for his wonderful work and sharing that, so adorable human
@hankroest6836
@hankroest6836 7 жыл бұрын
How beautifully constructed and expressed his sentences are!
@DennisMathgod
@DennisMathgod 7 жыл бұрын
I absolutely love these videos. Number theory is one of my favorite subjects.
@SaveSoilSaveSoil
@SaveSoilSaveSoil 3 жыл бұрын
I am very much surprised at how amazingly accurately James Maynard pronounces YiTang Zhang.
@indyd9322
@indyd9322 5 жыл бұрын
It's inspiring to see a younger mathematician talk about his work!
@barmouthbridge8772
@barmouthbridge8772 9 ай бұрын
Congratulations on winning the Fields medal James. I admire these humans so much . I went to Oxford read Zoology from 1989 - 1992, I got an upper class second degree. Also got a boxing blue for boxing against Cambridge on March 12th 1992. I arrived at Oxford as a bright boy with serious memory capability and a thirst for competition in tests. I very quickly observed around me a level of student that I could only marvel at. A healthy reset of expectations. The very best of my peers were like James in the way that their ability was to them normality and like a frequency hum in their background. No frills; no interest in recognition. They were simply unbelievable in their fields.
@errmoc5682
@errmoc5682 7 жыл бұрын
very good video, thank you Brady and the mathamtitions for your work and generosity
@PinkChucky15
@PinkChucky15 7 жыл бұрын
This is great. I'll never get tired of learning about prime numbers :-)
@zubmit700
@zubmit700 7 жыл бұрын
It's really fascinating to see this kind of breakthrough when you don't understand the most fundamental principles of prime numbers other than it's only divisible with itself and 1.
@corydiehl764
@corydiehl764 7 жыл бұрын
I hope I'm able to prove something that is worthy of being presented on Numberphile some day.
@L4Vo5
@L4Vo5 7 жыл бұрын
I hope to see the day the Riemann Hypothesis is solved...
@sinx2247
@sinx2247 7 жыл бұрын
I have found a truly marvelous solution to the Riemann Hypothesis, but my brain is too small to contain it.
@freshbeans1608
@freshbeans1608 7 жыл бұрын
+Symbiosinx what an original joke
@uuu12343
@uuu12343 6 жыл бұрын
Fresh beans It actually is original because he said "my brain is too small to contain it" not the comment box
@ChefXbb
@ChefXbb 6 жыл бұрын
probably armageddon
@newkid9807
@newkid9807 5 жыл бұрын
I already solved it
@matteogirelli1023
@matteogirelli1023 Жыл бұрын
Who's back to this after he won the fields medal?
@bryanc1975
@bryanc1975 5 жыл бұрын
This is one cool, down to earth mathematician. I'm a layman, but I look forward to seeing what else he can come up with.
@alfredhitchcock45
@alfredhitchcock45 14 күн бұрын
He explains so clearly and humbly
@Crazytesseract
@Crazytesseract Жыл бұрын
Nice to see he is so humble. "Intuition" or the "inspiration", that "i am on the right track" even though you are not sure you will get to the proof, comes from the supersoul within (Sanskrit: paramātmā). We live in a virtual reality. The mind is the real cause of our suffering and happiness. Never think that "I am the doer," especially when you do not know who exactly "I am".
@plackiplicki3531
@plackiplicki3531 7 жыл бұрын
Could Numberphile do a video about the recent Abel Prize earning work subject from Yves Meyer, the "Wavelette Theory" ? The Abel Prize is like the Nobel of maths (after Fields medal), and it was awarded less than a month ago --- it's a cool thing to make a video on, especially since there is little information about it on the Internet ! Please !
@imrozzahan7328
@imrozzahan7328 7 жыл бұрын
Placki Plicki , No one cares for this rubbish idea. Throw it in dustbin, you fool.
@EGarrett01
@EGarrett01 6 жыл бұрын
Imroz, calm down douchebag.
@uuu12343
@uuu12343 6 жыл бұрын
Imroz zahan No one cares for this rubbish comment, throw it in *the* dustbin, you fool
@badereric
@badereric 5 жыл бұрын
no idea what that is honestly, but if it was abel prize worthy there probably should be a video on it
@gold4963
@gold4963 7 жыл бұрын
My mom is still trying to decide where to move the sofa...
@RnR369
@RnR369 Жыл бұрын
i just nticed that whn they had he list going up that they missed a set of twin primes 19541 and 19543 that thy didnt highlight. i love how even in my late 20's this channel makes me fell ok to still find math interesting.
@mathsmontage1070
@mathsmontage1070 7 жыл бұрын
Prime numbers aside, it is refreshing to see you present your perspective on mathematical thinking. I am looking at how to inject this aspect into the high school arena since it is virtually uncatered for (at least in Australian schools). Schools are results driven and are more or less merely a set curriculum production line. My argument is that there is more - it is what YOU do and there is a way to cater for it at high school level with students of the right mindset. You have clearly expressed the "genius factor" that is lacking and not really understood in our education system. The thing is, how do we turn what you do into a television series to show how some mathematical ideas can be explored with predominately high school mathematics? Well done, so far!
@j9dz2sf
@j9dz2sf 7 жыл бұрын
Watched this video just after having watched another one about the Twin Paradox. So now, I imagine two twin primes, and one of them taking a rocket, flying at the speed of light, and returning close to his twin prime. But now, their distance had become more that 2, because of Special Relativity.
@yourlordandsaviouryeesusbe2998
@yourlordandsaviouryeesusbe2998 Жыл бұрын
Dude, this guy won the Field's medal in 2022
@PowerIsReal
@PowerIsReal 7 жыл бұрын
Wonderful video, thank you. Exciting to see these advancements taking place!
@vikramanbaburaj525
@vikramanbaburaj525 5 күн бұрын
I would say thanks to Zhang, Maynard and Tao et al. Because I had no idea about such beautiful results involving prime numbers.
@Venator1230
@Venator1230 7 жыл бұрын
This James Maynard guy is pretty Keen
@phoenixstone4208
@phoenixstone4208 4 жыл бұрын
Venator Longstride an
@DustinRodriguez1_0
@DustinRodriguez1_0 7 жыл бұрын
My understanding (from watching talks by Terence Tao) is that the barrier he refers to several times in this video is something called the 'parity problem'. I would love to see a video explaining what the 'parity problem' is.
@_Holy_Lance_
@_Holy_Lance_ 6 жыл бұрын
Thank you Dr. Maynard.
@rajarshichatterjee3281
@rajarshichatterjee3281 Жыл бұрын
Congratulations for the Fields medal 2022 Prof Maynard!
@fapplejacks4172
@fapplejacks4172 7 жыл бұрын
I like this guy, more videos with him please :)
@agamkohli3888
@agamkohli3888 7 жыл бұрын
You missed a twin prime at 2:51 (19541 and 19543)
@johnox2226
@johnox2226 7 жыл бұрын
Agam Kohli They did to! I never even noticed, so thanks for pointing it out😀
@tomithyyt1325
@tomithyyt1325 6 жыл бұрын
19541 19543
@andersongomez636
@andersongomez636 5 жыл бұрын
🤩
@Professional-Hater
@Professional-Hater 7 ай бұрын
Hmm, he looks pretty smart, maybe he would win a fields medal for his contributions to number theory
@berrieds
@berrieds Жыл бұрын
Congratulations James!
@yvesnyfelerph.d.8297
@yvesnyfelerph.d.8297 4 жыл бұрын
"...alot of fumbling around in the darkness before you understand how things work..." I see
@julienfb4693
@julienfb4693 7 жыл бұрын
Is there a website where we can find some mathematical papers? Like where do mathematicians publish their papers online?
@Xentillus
@Xentillus 7 жыл бұрын
Try Google Scholar as a starting point
@samb443
@samb443 7 жыл бұрын
arxiv.org
@julienfb4693
@julienfb4693 7 жыл бұрын
Ok thank you very much guys!
@John77Doe
@John77Doe 7 жыл бұрын
Julio Presidente In what language do you want the papers?
@John77Doe
@John77Doe 7 жыл бұрын
William White Albert Einstein published without peer review and citation in his seminal year. Do not discourage Julio. Maybe Julio has insights that give us that "quantum leap" forward. 😑😑😑😑😑😑😑😑😑
@falafelbleuh
@falafelbleuh Жыл бұрын
Glad to see him get awarded with the Fields medal this year!
@stevestarcke
@stevestarcke Жыл бұрын
What an amazing mathematician. He is an inspiration to us all!
@michaelmatter1222
@michaelmatter1222 7 жыл бұрын
Friday nights, "phew a long week of rigorous mathematics, time to kick back, relax and think about that ole' twin prime conjecture"
@heliocentric1756
@heliocentric1756 7 жыл бұрын
I proved that no two prime numbers differ by 7. I'm a famous mathematician now :)
@Teo-uw7mh
@Teo-uw7mh 7 жыл бұрын
Heliocentric post your proof
@pushkarsoni8927
@pushkarsoni8927 7 жыл бұрын
email me so that I can also be famous.. thanks in advance.
@williamchristman1165
@williamchristman1165 7 жыл бұрын
Heliocentric 2017 2027 differ by 10 both are primes
@pushkarsoni8927
@pushkarsoni8927 7 жыл бұрын
-5 is a prime? do we count negative integers also? just asking cuz I really don't know>
@williamchristman1165
@williamchristman1165 7 жыл бұрын
Heliocentric oh oops i misunderstood
@danwhite425
@danwhite425 7 жыл бұрын
I think this is the best number file so far.
@kushalthaman3110
@kushalthaman3110 Жыл бұрын
Congratulations to Dr. Maynard on the Field's medal!
@Ripa
@Ripa 7 жыл бұрын
Classic but still nice! Good job :-)
@WhisperVT
@WhisperVT 7 жыл бұрын
Wow, this was a great video :D
@numberphile
@numberphile 7 жыл бұрын
Thanks
@IllumTheMessage
@IllumTheMessage 7 жыл бұрын
Excellent explanations
@ts4gv
@ts4gv Жыл бұрын
james recently won the Fields medal! congrats
@handsome_man69
@handsome_man69 7 жыл бұрын
weren't you also the lead singer of Tool?
@Trynottoblink
@Trynottoblink 7 жыл бұрын
Yeah man his new album drops in a few months.
@justarandompally
@justarandompally 7 жыл бұрын
Trynottoblink Lol not if it's Tool we're talking about, everyone knows Tool doesn't ever release anything.... (/wrists)
@JamesxKo
@JamesxKo 7 жыл бұрын
I didn't know that the guy from Tool was so gifted at mathematics
@nicknamenescio
@nicknamenescio Жыл бұрын
Huge congrats on winning the Fields medal! :)
@raymondjones2651
@raymondjones2651 3 жыл бұрын
The equation 6n+-1, can be used as a serial equation or a matrix. The matrix first column is odd numbers and the top row is factoials of prime numbers, 6n, 30n, 210n, 2310n and etc. The result is: 30 + 11 and 13, 30 + 29 and 31, 210 + 29 and 31, 2310 + 29 and 31 all twin primes.
@azzteke
@azzteke Жыл бұрын
6n+-1 is not an equation.
@shubhramishra8698
@shubhramishra8698 7 жыл бұрын
2:52 You guys missed the pair of 19541 and 19543
@Yakushii
@Yakushii 7 жыл бұрын
Nice to see that Benedict Cumberbatch is interested in maths too.
@TykoBrian7
@TykoBrian7 7 жыл бұрын
Yakushii ... who?
@aoimiyazaki6291
@aoimiyazaki6291 7 жыл бұрын
Bendadick Cucumberpatch is a famous actor.
@benjaminlehman3221
@benjaminlehman3221 5 жыл бұрын
Tyko Brian he plays Dr.Strange
@want-diversecontent3887
@want-diversecontent3887 5 жыл бұрын
Benjamin Lehman Yeah, Bean pick comber patch did. Or was his name Bin trick clapper catch?
@syedmohaiminulhoque9901
@syedmohaiminulhoque9901 Жыл бұрын
congratulations Dr.Maynard
@ribsb747
@ribsb747 Жыл бұрын
Congratulations on winning the Fields Medal !!
@gautampassi3863
@gautampassi3863 7 жыл бұрын
I love Numberphile :)
@Friek555
@Friek555 7 жыл бұрын
You missed the twin primes 19541 and 19543 at 2:51
@ericzhao5642
@ericzhao5642 Жыл бұрын
James Maynard just won the field medal this year.
@olivierdutreuilh6535
@olivierdutreuilh6535 7 жыл бұрын
Great video ! Thank you very much !
@BarneyKB
@BarneyKB 7 жыл бұрын
is there any upper bound on gaps between two primes?
@BrouwerEK
@BrouwerEK 7 жыл бұрын
No. They can be as far apart as one demands. Take k=N! and numbers k+2, k+2,... k+N. They are all composite. Now pick any large N as you wish.
@tutorsoar
@tutorsoar 4 жыл бұрын
Yes that's what the video is all about 246
@siddhantsharma9316
@siddhantsharma9316 7 жыл бұрын
Prime numbers make me uncomfortable
@joshurlay
@joshurlay 7 жыл бұрын
Prime numbers make me wet, and that makes me uncomfortable
@aela_the_bard
@aela_the_bard 7 жыл бұрын
I feel like a philosophical argument that counting numbers and whole number division are a part of the real world would be fairly easy to construct. And primes are numbers for which whole number division is impossible. Integers and Real numbers however technically have little to no direct basis in reality.
@Shadowmere29
@Shadowmere29 7 жыл бұрын
All numbers are just mathematical objects that are defined as they are. You could easily say anything is part of reality just because you are thinking about it, so it is pointless to even talk about it.
@aela_the_bard
@aela_the_bard 7 жыл бұрын
you must be fun at parties.
@Kalumbatsch
@Kalumbatsch 7 жыл бұрын
+Ishaan Sabnis Statements about numbers are also quantifiable statements about physical reality. Whether you can divide a number of objects into equal piles is something that you can measure. No, numbers are not purely mental constructs, I've seen that claim before.
@modolief
@modolief 7 жыл бұрын
Great interview, thanks!!!!
@stephenhughes1862
@stephenhughes1862 7 жыл бұрын
James Maynard is very impressive, he has done the UK well
@OriginalPiMan
@OriginalPiMan 7 жыл бұрын
I would like to suggest, without evidence, something even more specific. That there are an infinite number of pairs of primes separated by 2, where the prime factors of the inbetween number are consecutive primes. For example, 29 and 31 and primes, and the factors of 30 are the consecutive primes 2, 3 and 5.
@Tiqerboy
@Tiqerboy 7 жыл бұрын
The next number is 2x3x5x7 = 210. 209 isn't prime, 211 is. then 210x11 = 2310. 2309 & 2311. Both of these are primes. 2nd example. Then 2310x13 = 30030. 30031 isn't prime, 30029 is Then 30030x17 = 510510. Neither 510509 and 510511 are prime Then 510510x19 = 9699690. Doesn't work. Then 9699690x23 = 223092870. Doesn't work. Then 6469693230. Doesn't work. Need a computer to take it much further. The way it looks, I don't see a third example coming, and you think there are infinite number of these? If you can prove that, then you've proven the twin prime conjecture and then some. But I think a proof would be very hard to come by, for this simple reason: eventually you're going to end up with numbers on either side that are so large, you won't be able to factor them, or even test they are prime with the computer technology we have, so you'll in effect get 'stuck'. Notice you have to start at 2, because if I took a sequence like 5x7x11 I end up with an odd number and those on either side will be even and obviously not prime.
@OriginalPiMan
@OriginalPiMan 7 жыл бұрын
I'm aware how rare they would likely be if I'm right, and I'm aware it would certainly be more difficult to prove than the twin prime conjecture. But if you compare it to Mersenne primes, we only know 49 of those, going up to 274,207,281 − 1 but we know those are infinite in number. And I didn't merely notice that you have to start it 2; it is by design. My original thought was on multiplying all primes up to an arbitrary value, but I realised I could phrase it more clearly by saying consecutive primes and leaving the start implicit.
@Tiqerboy
@Tiqerboy 7 жыл бұрын
If you know of a proof that there are inifinite primes of the form 2^n - 1, I'd like to see it. Again, by computation theory as we know it, you eventually end up with a number so huge you can't factor it, rendering you stuck. But if there's a proof that gets around this, excellent, I'd like to see it.
@OriginalPiMan
@OriginalPiMan 7 жыл бұрын
Sorry, my mistake. I thought that was proven, but it is merely conjectured. I must have misremembered the content of an earlier Numberphile video.
@bexowr
@bexowr 4 жыл бұрын
Congratulations to this man for proving the Duffin - Schaeffer conjecture (do you guys see the news?)
@cptn_n3m012
@cptn_n3m012 4 жыл бұрын
He annouced a proof with another mathematician, it hasn't been reviewed yet
@bexowr
@bexowr 4 жыл бұрын
@@cptn_n3m012 oh, I see.... Thanks for pointing that out
@NoNo-nr2xv
@NoNo-nr2xv Күн бұрын
The way I understand the approximation is to do with the conjecture itself. While the endpoint is an approximate, the maths under the hood is rigorous. The conjecture is the gap of 2 always occurs, and there are infinite primes. So it being an approximate doesn't hurt. It may estimate and miss a few twin primes, but the conjecture is they always occur and don't disappear. If you have an infinite numberline to use, an approximate can still answer that question.
@TheNameOfJesus
@TheNameOfJesus Жыл бұрын
I find that my most creative time of day is the first hour of the day when I'm still feeling that the dream-making part of my brain is still partly in control.
@krishnasharma7607
@krishnasharma7607 7 жыл бұрын
Identical or fraternal ?
@escraftTH
@escraftTH 7 жыл бұрын
half
@escraftTH
@escraftTH 7 жыл бұрын
M.K.D. a few words.
@aslamjm
@aslamjm 7 жыл бұрын
nth
@anoriolkoyt
@anoriolkoyt 6 жыл бұрын
(n-1)th
@awawpogi3036
@awawpogi3036 6 жыл бұрын
(n-2)th
@uuu12343
@uuu12343 6 жыл бұрын
tamil movies n/0th
@venkateshbabu5623
@venkateshbabu5623 6 жыл бұрын
It is like a huge pond when you tap the surface at the either end the chances of two troughs being close is difficult. Waves have these kind of patterns as the distance of the jitter becomes larger.
@ricardoalves3475
@ricardoalves3475 Жыл бұрын
He just won the Fields Medal! Congratulations!
@reububble
@reububble 7 жыл бұрын
I wish I was a mathematician sometimes.
@MrRenanwill
@MrRenanwill 4 жыл бұрын
Just take a mathcourse or go study by yourself
@alexandertownsend3291
@alexandertownsend3291 2 жыл бұрын
You do not have to be a professional or even go to college to contribute to math. Study some books, papers, and videos. Find a challenging problem, you are passionate about and try to make some progress. Even as an amatuer, any progress is better than none.
@renedescartes1058
@renedescartes1058 7 жыл бұрын
We can thank gödel who proved that we can t prove some things.
@alexandertownsend3291
@alexandertownsend3291 2 жыл бұрын
How do you know about that? Lol
@kilian8250
@kilian8250 Жыл бұрын
And now he’s got a Fields medal for his work :)
@ireallygotnothing
@ireallygotnothing 3 жыл бұрын
Man narrowed down the possibilities from infinity to 70 million. Quite the accomplishment, honestly
@Dsschuh
@Dsschuh 7 жыл бұрын
They missed a twin in the list: 19541, 19543
@imrozzahan7328
@imrozzahan7328 7 жыл бұрын
Duane Schuh , well done old man. :-)
@daksh8747
@daksh8747 7 жыл бұрын
Just how many channels does Brady have for crying out loud?!
@TykoBrian7
@TykoBrian7 6 жыл бұрын
Docobonbon The one how many do you know?
@alexandertownsend3291
@alexandertownsend3291 4 жыл бұрын
1.Numberphile 2.Computerphile 3.Sixty Symbols 4.Periodic Table of Videos 5.Objectivity There are probably more, but those are the ones I know about.
@Linshark
@Linshark 7 жыл бұрын
Brilliant video !
@historyforhumanitypamelach4103
@historyforhumanitypamelach4103 6 жыл бұрын
I am an Identical twin, and i have been able to map out our life using simple math, you just have to know how to do it.... Its an Amazing Phenomenon
@subh1
@subh1 7 жыл бұрын
This makes me ask the very pressing question: What the hell am I doing with my life??
@subh1
@subh1 7 жыл бұрын
Dekinain Janai : What constitutes "real life"? Food, reproduction and survival? Technology? More money to buy stuffs? Inner peace? Staying high on THC? Understanding the nature of the universe and reality itself?
@pushkarsoni8927
@pushkarsoni8927 7 жыл бұрын
calm down bro. drink milk. you'll be fine.
@draganjonceski2639
@draganjonceski2639 4 жыл бұрын
@@subh1 just THC
@grzegorzcichosz8240
@grzegorzcichosz8240 7 жыл бұрын
Do professional mathematicians have any other job aside from teaching at university?
@Q99g
@Q99g 7 жыл бұрын
Grzegorz Cichosz They can work in engineering companies
@grzegorzcichosz8240
@grzegorzcichosz8240 7 жыл бұрын
Oh really? I thought that some engineers work their not mathematicians
@Q99g
@Q99g 7 жыл бұрын
Grzegorz Cichosz Well I know a mathemathician who worked in a engineering​ company. But now he is a teacher, he says he prefers being with people rather than being all day in front of a computer.
@rosePetrichor
@rosePetrichor 7 жыл бұрын
Plenty of mathematicians take time out of their academic careers to work for technology firms (or do so alongside their career if they can balance it). Some others work for government bodies on cryptography based problems
@wohdinhel
@wohdinhel 7 жыл бұрын
Grzegorz Cichosz I don't know if you are aware, but there is a lot of math involved in engineering Also pretty much every field of hard science
@disgruntledtoons
@disgruntledtoons 3 жыл бұрын
There also seem to be lots of prime quads, consisting of sets of values 30k + 11, 30k + 13, 30k + 17, and 30k + 19. The gaps are, as is to be expected, larger than the gaps between prime pairs, but the JavaScript that I am currently running to find them has reached 170 million and is still finding them.
@keithteo9007
@keithteo9007 Жыл бұрын
Proof by javascript. I like it.
@PetraKann
@PetraKann 7 жыл бұрын
the sieve method for identifying prime numbers was first proposed by the ancient Greek Philosopher/Mathematician and inventor of the Scientific method, Eratosthenes in about 190 BC
Twin Proofs for Twin Primes - Numberphile
15:13
Numberphile
Рет қаралды 440 М.
SHE WANTED CHIPS, BUT SHE GOT CARROTS 🤣🥕
00:19
OKUNJATA
Рет қаралды 4 МЛН
格斗裁判暴力执法!#fighting #shorts
00:15
武林之巅
Рет қаралды 13 МЛН
ОДИН ДОМА #shorts
00:34
Паша Осадчий
Рет қаралды 6 МЛН
Riemann Hypothesis - Numberphile
17:03
Numberphile
Рет қаралды 6 МЛН
Large Gaps between Primes - Numberphile
9:27
Numberphile
Рет қаралды 531 М.
Goldbach Conjecture - Numberphile
9:59
Numberphile
Рет қаралды 910 М.
Winning the Fields Medal (with James Maynard) - Numberphile
16:10
Numberphile
Рет қаралды 646 М.
The Game of Risk - Numberphile
10:32
Numberphile
Рет қаралды 906 М.
Primes without a 7 - Numberphile
13:15
Numberphile
Рет қаралды 430 М.
A Prime Surprise (Mertens Conjecture) - Numberphile
9:56
Numberphile
Рет қаралды 822 М.
The Prime Number Race (with 3Blue1Brown) - Numberphile
20:29
Numberphile
Рет қаралды 366 М.
Can you trust an elegant conjecture?
15:35
Stand-up Maths
Рет қаралды 319 М.
Купите ЭТОТ БЮДЖЕТНИК вместо флагманов от Samsung, Xiaomi и Apple!
13:03
Thebox - о технике и гаджетах
Рет қаралды 51 М.
Рекламная уловка Apple 😏
0:59
Яблык
Рет қаралды 802 М.