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The Yellowstone Permutation - Numberphile

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3301
225
00:21:00
29.01.2023

Featuring Neil Sloane. See 🤍 for Brilliant and get 20% off their premium service (episode sponsor) More links & stuff in full description below ↓↓↓ Correction at 4:08… Neil says “then we get twice 61" instead of “about twice 61". The actual result is 120, not 122 as labelled. Neil Sloane is founder of the legendary OEIS: 🤍 Yellowstone Permutation and its wonderful geysers: 🤍 More Neil Sloane videos: 🤍 Brady in Iceland: 🤍 Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Video by Brady Haran and Pete McPartlan Thanks to the Numberphile Society for fact checking, especially Paul Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Shout out to these Patreon supporters: Ben Delo Jeff Straathof Ken Baron Yana Chernobilsky Juan Benet Andy B James Bissonette Jubal John Jeremy Buchanan Steve Crutchfield Ben White Andrei M Burke Tracy Parry Ian George Walker RAD Donato Arnas Bernd Sing Valentin Matthew Schuster Nat Tyce Alfred Wallace Ron Hochsprung Ubiquity Ventures John Zelinka Gnare Alex Khein Michael Dunworth Mirik Gogri Kannan Stanz Heather Liu Doug Hoffman Xavier F. G. John Loach

Why 7 is Weird - Numberphile

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43810
2301
00:12:03
22.08.2022

Thanks to Jane Street for their support... Check out internships here: 🤍 More links & stuff in full description below ↓↓↓ This video features Dr James Grime on divisibility. James Grime: 🤍 His YouTube channel: 🤍 More James on Numberphile: 🤍 More divisibility on Numberphile: 🤍 JANE STREET... Applications for Summer 2023 internships are open and filling up... Roles include: Quantitative Trading, Software Engineering, Quantitative Research and Business Development... and more. Positions in New York, Hong Kong, and London. 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍

The mystery of 0.577 - Numberphile

1923181
33336
2406
00:10:03
05.10.2016

The harmonic series and the elusive Euler–Mascheroni constant. More links & stuff in full description below ↓↓↓ Featuring Dr Tony Padilla. Audible: 🤍 Extra footage: 🤍 Videos about -1/12: 🤍 Tony at the LHC: 🤍 (via Sixty Symbols, our physics channel) Support us on Patreon: 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 Videos by Brady Haran Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

An unexpected way to inflate a balloon - Numberphile

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17191
844
00:05:27
17.11.2017

Using a kamifusen (a Japanese paper balloon). Featuring Tadashi Tokieda. More Tadashi videos: 🤍 More links & stuff in full description below ↓↓↓ Objectivity (videos by Brady about science objects): 🤍 Discuss this episode on reddit: 🤍 Buy a paper balloon like this on amazon: 🤍 Or check out this groovy planet one: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Editing and animation in this video by Pete McPartlan Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 A NOTE ON THIS VIDEO: A few of our Tadashi videos blur the already blurry line between mathematics and physics... Some people suggest they may be a better fit on Brady's dedicated physics channel (called Sixty Symbols). In response, the reasons they are on Numberphile are: 1) Tadashi, while certainly a modern polymath, is based in a mathematics department. 2) This sub series (with its animation and extra production work) has been supported by the Mathematical Sciences Research Institute, a Numberphile collaborator. 3) Some of the previous and future Tadashi videos are more math-oriented than physics - and it just makes sense to put them on one channel rather than dividing the series between two channels on an ad hoc basis. In a multi-disciplinary world, it is challenging to run YouTube channels which people come to associate with just one discipline. That said, feel free to go over and watch hundreds of physics videos on Sixty Symbols - 🤍

The Goat Problem - Numberphile

524197
14874
1327
00:16:52
24.12.2022

Featuring James Grime... Check out Jane Street's "Puzzle Page" for great brain teasers 🤍 (episode sponsor) More links & stuff in full description below ↓↓↓ This video features Dr James Grime: 🤍 His YouTube channel: 🤍 More James on Numberphile: 🤍 Some papers about the Goat Problem... Return of the Grazing Goat in n Dimensions: 🤍 A Closed-Form Solution to the Geometric Goat Problem: 🤍 The Grazing Goat in n Dimensions: 🤍 Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Animation by Pete McPartlan With thanks to our checkers, including János Pallagi Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

The Puzzling Fourth Dimension (and exotic shapes) - Numberphile

220888
9242
802
00:16:10
01.12.2022

Featuring Ciprian Manolescu from Stanford University. More links & stuff in full description below ↓↓↓ Ciprian Manolescu: 🤍 Sphere art at the end of the video by 🤍 Perfect Shapes in Higher Dimensions: 🤍 Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Animation by Pete McPartlan Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Special thanks to: Ben Delo Juan Benet Jeff Straathof Ken Baron Andy B Michael Dunworth James Bissonette Jubal John Jeremy Buchanan Steve Crutchfield Adam Savage Ben White Andrei M Burke RAD Donato Matthew Schuster Nat Tyce Ron Hochsprung Ubiquity Ventures John Zelinka Gnare Kannan Stanz OnlineBookClub.org Matt Tiblow Heather Liu Jordan W Oja Tracy Parry Ian George Walker Arnas Bernd Sing Valentin Alfred Wallace Alex Khein Mirik Gogri Doug Hoffman Xavier F. G. John Loach

Equally sharing a cake between three people - Numberphile

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41820
4086
00:07:33
26.09.2017

Audible (30-day trial, free audio book): 🤍 More links & stuff in full description below ↓↓↓ This video features Dr Hannah Fry. More videos with Hannah: 🤍 Hannah's website: 🤍 Her book mentioned is "The Mathematics of Love". Envy free cake cutting (the paper mentioned): 🤍 A clarifying note from Hannah: n^n^n^n^n^n is the maximum number of cuts in the n person case. Something we could have made clearer... Bob's trimmed piece still carries the status of his "first choice", so if Charlie leaves it, Bob will (must) pick it... otherwise he'll pick the one that was his original "second choice"... The upshot of this is that there's no chance Alice will be left with the trimmed piece after everyone takes their first piece. And Bob remains envy free under these conditions too. A trilogy of mathematical cake cutting videos... 🤍 Editing and animation in this video by Pete McPartlan Discuss this video on Brady's subreddit: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

The Search for Siegel Zeros - Numberphile

179431
6637
447
00:16:27
19.12.2022

Featuring Professor Tony Padilla. See 🤍 for Brilliant and get 20% off their premium service (episode sponsor) More links & stuff in full description below ↓↓↓ Yitang Zhang strikes again... Discrete mean estimates and the Landau-Siegel zero: 🤍 Order Tony's book Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity Amazon US - 🤍 Amazon UK - 🤍 MacMillan US - 🤍 Penguin UK - 🤍 Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Animation by Pete McPartlan Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

How to make railway timetables (with graphs) - Numberphile

517384
22883
760
00:08:43
21.11.2021

Featuring Hannah Fry discussing Train Graphs. More links & stuff in full description below ↓↓↓ Hannah's website, including links to her many and varied projects... and latest books: 🤍 Her latest book (with Adam Rutherford) is the Complete Guide to Absolutely Everything (Abridged): 🤍 Hannah on Numberphile: 🤍 Hannah on the Numberphile podcast: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

The Volume of a Sphere - Numberphile

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26060
1006
00:04:14
20.06.2021

Johnny Ball discusses Archimedes and the volume of a sphere. Check out 🤍 and get 50% off your first month of any subscription (sponsor) More links & stuff in full description below ↓↓↓ Johnny Ball: 🤍 More Numberphile videos with Johnny Ball: 🤍 Johnny Ball books: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

Monty Hall Problem - Numberphile

3903653
54400
17017
00:05:30
22.05.2014

Extended math version: 🤍 A version for Dummies: 🤍 More links & stuff in full description below ↓↓↓ This video features Lisa Goldberg, an adjunct professor in the Department of Statistics at University of California, Berkeley. Support us on Patreon: 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 Videos by Brady Haran Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍 Rubik's Cube videos: 🤍 Knight's Tour: 🤍

The Reciprocals of Primes - Numberphile

1167941
34287
2572
00:15:31
14.03.2022

Matt Parker explores the work of William Shanks - and boots up the ShanksBot. More links & stuff in full description below ↓↓↓ Matt Parker's 2022 Pi Day Video: 🤍 Discussing William Shanks on Objectivity: 🤍 Prime Number playlist: 🤍 Pi playlist: 🤍 Matt Parker website: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by James Hennessy and Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

Prime Pyramid (with 3Blue1Brown) - Numberphile

240412
9989
405
00:10:53
06.11.2022

Grant Sanderson (from 3Blue1Brown) shows us a pyramid that spits out prime numbers - and then we dig deeper. More links & stuff in full description below ↓↓↓ Part 1 of this three-part interview is at: 🤍 Part 3 of this three-part interview: STILL BEING EDITED Grant's own false pattern video: 🤍 Grant's channel is 3Blue1Brown: 🤍 More Grant on Numberphile: 🤍 Grant on the Numberphile Podcast: 🤍 Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

6174 - Numberphile

9884448
60215
1824
00:03:42
05.12.2011

6174 is also known as Kaprekar's Constant. More links & stuff in full description below ↓↓↓ This video features University of Nottingham physics professor Roger Bowley, who is also featured on our Sixty Symbols channel at 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

The Golden Ratio (why it is so irrational) - Numberphile

3483182
76071
3385
00:15:13
08.05.2018

Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast: 🤍 Check out Brilliant (and get 20% off) by clicking 🤍 More links & stuff in full description below ↓↓↓ Golden seeds limited edition T-Shirt: 🤍 More Golden Ratio stuff: 🤍 More Ben Sparks Numberphile videos: 🤍 Ben's Twitter: 🤍 Ben's website: 🤍bensparks.co.uk Geogebra file Ben used: 🤍 Watch Ben build (from scratch) the spirally Geogebra visualisation file he uses, on his channel here: 🤍 Note on this video: Ben uses "one over a number" quite often during the video to make a fraction of a turn between 0 and 1, but the same effects apply if you turn more than a complete turn (e.g. sqrt(2) = approximately 1.414... of a turn, i.e. 1 whole turn and 0.414... of a further turn). Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

e (Euler's Number) - Numberphile

4183972
105797
5231
00:10:42
19.12.2016

Free trial at The Great Courses Plus: 🤍 Dr James Grime discusses "e" - the famed Euler's Number. More links & stuff in full description below ↓↓↓ A bit extra from this video: 🤍 More James Grime videos from Numberphile: 🤍 Support us on Patreon: 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 Videos by Brady Haran Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

How many particles in the Universe? - Numberphile

563321
16462
1480
00:09:57
10.07.2017

Sponsored by Skillshare... 2-months free to first 500 people: 🤍 More links & stuff in full description below ↓↓↓ This video features Dr Tony Padilla from the University of Nottingham. Extra bit from this video: 🤍 See more of Tony talking physics on Sixty Symbols: 🤍 Planck: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Notes from Tony on this video: 1. The numbers I use are based on Planck 2013 data. Data from the 2015 release exists but I chose the 2013 data since the precise calculation of the size of the universe has only been done explicitly in that case as per this paper: 🤍 2. Near the start I say I’m only considering fundamental particles with mass, and not, say, photons. Actually, I don’t count neutrinos either since they too are relativistic, and the precise results are model dependent to an extent. 3 (later addendum). Well done to anyone who spotted the fact that the 75:25% split between H and He ought to be by mass, and not by number of atoms, as in the video. I realised this mistake lying in bed on the night the video was released and kicked myself repeatedly! Very annoying. Anyway, correcting for this, we see that there actually ought to be 12 H atoms for each He atom, since the atom mass of He is 4, and the total atomic mass of 12 H atoms is 12=3x4. Following the same sort of logic as in the video, we find that there are 62=12x4+14 particles for 16=12+4 baryons. Thats means we should have multiplied by 62/16 rather than 26/7, and so our result should be corrected by a factor of 1.04, yielding closer to 3.4 x 10^80 particles. [Of course, no-one really worries about factors of 1.04 in cosmology :)]. The time to the "apocalyptic” end mentioned later in the video then changes by 3 to 4 years, which is anyway well within the rounding errors of the calculation.

Infinity is bigger than you think - Numberphile

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103147
17843
00:08:00
06.07.2012

Sometimes infinity is even bigger than you think... Dr James Grime explains with a little help from Georg Cantor. More links & stuff in full description below ↓↓↓ Minute Physics video on this topic 🤍 (somewhat more fast-paced... but we did film ours BEFORE his was uploaded, so similarities are coincidental... well actually, no they are not... we are all building upon Cantor's work!!) NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

Superpermutations - Numberphile

381163
12090
900
00:09:06
29.01.2018

The Great Courses Plus (free trial): 🤍 This video features Dr James Grime. More links & stuff in full description below ↓↓↓ More James Grime on Numberphile: 🤍 James Grime: 🤍 Tackling the Minimal Superpermutation Problem: 🤍 (Apparently I mucked up the copy/paste for the 1-6 superpermutation and, amazingly, people actually check this stuff... The full number is in the paper linked above) Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Note: The Great Courses Plus is currently available to watch through a web browser to almost anyone in the world and optimized for the US market. The Great Courses Plus is currently working to both optimize the product globally and accept credit card payments globally.

The problem in Good Will Hunting - Numberphile

6182190
56712
3536
00:04:54
04.03.2013

We now have a Tumblr: Tumblr: 🤍 This paper on ebay: 🤍 More links & stuff in full description below ↓↓↓ Just how hard was the second problem cracked by Will in Good Will Hunting? Matt Damon! And who doesn't love Homeomorphically Irreducible Trees? This video features Dr James Grime - 🤍 Music by Alan Stewart - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

A Number Sequence with Everything - Numberphile

166238
7695
418
00:10:55
10.11.2022

Neil Sloane discusses The Inventory Sequence... See also Jane Street's special page: 🤍 More links & stuff in full description below ↓↓↓ Neil Sloane is founder of the legendary OEIS: 🤍 Inventory Sequence at: 🤍 Jane Street's page mentioned in this video at: 🤍 (episode sponsor) Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Video by Brady Haran and Pete McPartlan Shout-out to eagle-eyed Michael Colognori who helped with checking. Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

The Forgotten Number System - Numberphile

469946
24219
1277
00:10:21
05.11.2020

Featuring author Alex Bellos - check his books (including the Language Lover's Puzzle Book) on Amazon: 🤍 More links & stuff in full description below ↓↓↓ More Alex on Numberphile: 🤍 Alex's own website with links to all his stuff: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 With thanks to Patreon supporters, including: Arjun Chakroborty, Ben Delo, Jeff Straathof, Ken Baron, Yana Chernobilsky, Andy B, James Bissonette, Jubal John, Jeremy Buchanan, Steve Crutchfield, Adam Savage, Ben White, Andrei M Burke, RAD Donato, Matthew Schuster, Nat Tyce, Ron Hochsprung, Mitch Harding, Ubiquity Ventures, Mateusz Swiatkowski, John Zelinka, Gnare , Tom Marshall, Jesús Salsero, Jordan W Oja, Tracy Parry, Ian George Walker, Arnas , Bernd Sing, Valentin , Alfred Wallace, Charles Southerland, Kristian Joensen, Bodhisattva Debnath, Alex Khein, Kermit Norlund, That Asymptote, Mirik Gogri

Problems with Zero - Numberphile

5475114
78715
14657
00:13:00
25.10.2012

Dividing by zero, zero divided by zero and zero to the power of zero - all pose problems! More links & stuff in full description below ↓↓↓ This video features Matt Parker and James Grime - 🤍 and 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

The World's Best Mathematician (*) - Numberphile

6504831
110228
5846
00:10:57
14.03.2017

(*) Among current mathematicians, many people regard Professor Terence Tao as the world's finest... Opinions on such things vary, of course. Professor Tao kindly fielded some of our questions, including many submitted by Numberphile viewers. EXTRA FOOTAGE: 🤍 (and more extras to come) The Legend of Question Six: 🤍 Professor Tao's blog: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

Lewis Carroll's Pillow Problem - Numberphile

432803
13060
1080
00:10:27
28.04.2020

Featuring Alex Bellos. Check out Brilliant (get 20% off their premium service): 🤍 (sponsor) More links & stuff in full description below ↓↓↓ More videos with Alex Bellos: 🤍 Alex's website: 🤍 And his books on Amazon (including "So You Think You've Got Problems" in which this puzzle features): 🤍 and 🤍 Monty Hall Problem: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Video by Pete McPartlan and Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Clock sound by InspectorJ at freesound.org

The Most Wanted Prime Number - Numberphile

428086
18078
1003
00:08:35
15.12.2021

Featuring Neil Sloane. Visit 🤍 to give the gift of CO₂ removal. Use code NUMBERPHILE10 for 10% off your purchase in December (sponsor) More links & stuff in full description below ↓↓↓ Neil Sloane is the founder of The OEIS: 🤍 More videos with Neil: 🤍 Prime Playlist: 🤍 Note the 17350-digit prime we feature is more accurately classed as a "probable prime" at this time. Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

Large Gaps between Primes - Numberphile

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00:09:27
19.07.2017

James Maynard on discoveries about large gaps between prime numbers. More links & stuff in full description below ↓↓↓ More Maynard videos: 🤍 Prime Playlist: 🤍 The 20 August paper: 🤍 The 21 August paper: 🤍 Terry Tao interview: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

The Opposite of Infinity - Numberphile

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00:15:05
08.09.2015

Continuing to talk Infinitesimals, this time with Dr James Grime. See last week's video: 🤍 More links & stuff in full description below ↓↓↓ Dividing by Zero: 🤍 James Grime: 🤍 Support us on Patreon: 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 Videos by Brady Haran Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

Winning at Rock Paper Scissors - Numberphile

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00:05:48
26.01.2015

Squarespace: 🤍 This video features Hannah Fry - 🤍 More links & stuff in full description below ↓↓↓ More on this topic (and lizards): 🤍 And even more on this topic: 🤍 The paper: 🤍 Reddit for this video: 🤍 Art and animation by Pete McPartlan Support us on Patreon: 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 Videos by Brady Haran Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

The Doomsday Algorithm - Numberphile

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00:14:33
31.10.2021

Featuring James Grime. Check out 🤍 and get 50% off your first month of any subscription. (sponsor) More links & stuff in full description below ↓↓↓ More James Grime videos: 🤍 James Grime: 🤍 John Conway: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Artwork by Pete McPartlan Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

Problems with Powers of Two - Numberphile

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00:10:57
21.09.2022

Featuring Neil Sloane from the OEIS. See the stop press at 🤍 and extra footage at 🤍 More links & stuff in full description below ↓↓↓ Neil Sloane is founder of the On-Line Encyclopedia of Integer Sequences: 🤍 More of our videos with Neil Sloane: 🤍 Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

Philosophy of Numbers - Numberphile

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00:09:41
18.09.2015

We revisit the philosophy department and the question of whether numbers really exist? Featuring Mark Jago from the University of Nottingham. More links & stuff in full description below ↓↓↓ Earlier video on numbers' existence: 🤍 Infinity paradoxes: 🤍 Film and interview by Brady Haran Edit and animation: Pete McPartlan Pete: 🤍 Support us on Patreon: 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 Videos by Brady Haran Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

Weber's Law - Numberphile

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00:09:03
25.05.2018

Check out Brilliant (and get 20% off) by clicking 🤍 (sponsor) Hannah Fry has a new book coming: 🤍 (US) or 🤍 (UK) More links & stuff in full description below ↓↓↓ A little extra bit from this interview: 🤍 This video features Hannah Fry. Her new book "Hello World" is out soon. Hannamation in this video by Pete McPartlan. More Hannah on Numberphile: 🤍 Some extra out-take video from Hannah's stint behind the camera is available to Patrons!!! 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

The Math of Being a Greedy Pig - Numberphile

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00:33:06
28.04.2021

Featuring Ben Sparks. Check out 🤍 and get 50% off your first month of any subscription. More links & stuff in full description below ↓↓↓ Extra footage from the making of this video (including Brady trying to roll 50 points and his game against the online Pig Player): 🤍 Ben Sparks: 🤍 More Ben Sparks on Numberphile: 🤍 Optimal Play of the Dice Game Pig: 🤍 Online Pig Player: 🤍 Ben's Geogebra Pig Strategy simulator: 🤍 Pass the Pigs game (Amazon affiliate link): 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

Tunnelling through a Mountain - Numberphile

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1253
00:08:06
23.01.2022

Featuring Professor Hannah Fry - more details on her work below. Check out Brilliant (get 20% off their premium service): 🤍 (sponsor) More links & stuff in full description below ↓↓↓ Hannah Fry: 🤍 Hannah's books: 🤍 Her latest is Rutherford and Fry’s Complete Guide to Absolutely Everything: 🤍 More Hannah Fry on Numberphile: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Video by Brady Haran and Pete McPartlan Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

An Integration Conundrum - Numberphile

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00:14:32
19.10.2022

Featuring Ben Sparks doing some calculus. See 🤍 for Brilliant and get 20% off their premium service (episode sponsor) More links & stuff in full description below ↓↓↓ Ben Sparks on the Numberphile Podcast: 🤍 More Ben Sparks on Numberphile: 🤍 Ben's website: 🤍 Ben's YouTube channel: 🤍 Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

Riemann Hypothesis - Numberphile

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00:17:03
11.03.2014

Featuring Professor Edward Frenkel. Here is the biggest (?) unsolved problem in maths... The Riemann Hypothesis. More links & stuff in full description below ↓↓↓ Prime Number Theorem: 🤍 Fermat's Last Theorem: 🤍 Prof Edward Frenkel's book Love and Math: 🤍 Professor Frenkel is a mathematics professor at the University of California, Berkeley - 🤍 The Millennium Prize at the Clay Mathematics Institute: 🤍 Number Line: 🤍 CORRECTION: At 7:20 the zeta function of 2 should be (Pi^2)/6 as correctly stated earlier in the video (Basel Problem) Support us on Patreon: 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 Videos by Brady Haran Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍

Infinite Series - Numberphile

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00:09:31
02.04.2019

Fields Medallist Charlie Fefferman talks about some classic infinite series. More links & stuff in full description below ↓↓↓ Charles Fefferman at Princeton: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Editing and animation by Pete McPartlan Patreon: 🤍 Numberphile T-Shirts: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

The Troublemaker Number - Numberphile

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00:12:52
23.05.2022

Dr Harini Desiraju discusses Somos Sequences and a number which breaks a streak. More links & stuff in full description below ↓↓↓ Dr Harini Desiraju is a postdoctoral fellow at The University of Sydney. This video was recorded at MSRI. Like sequences - see these videos with Neil Sloane: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

A Fascinating Thing about Fractions - Numberphile

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00:08:25
15.12.2019

The Dynamical Uniform Boundedness Conjecture with Dr Holly Krieger. Extra from this interview: 🤍 Dr Krieger on the Numberphile Podcast: 🤍 More links & stuff in full description below ↓↓↓ More videos with Holly: 🤍 Holly's website: 🤍 She is the Corfield Lecturer at the University of Cambridge as well as a Fellow at Murray Edwards College. Go deeper with this technical paper: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Animation by Pete McPartlan Patreon: 🤍 Numberphile T-Shirts: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍

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