Numberphile
Videos about numbers - it's that simple. Videos by Brady Haran

377 videos
Last Cards Match - Numberphile Last Cards Match - Numberphile
2 months ago En
Numberphile Playing Cards: http://bit.ly/NumberphileCards More card videos: http://bit.ly/Cards_Shuffling More links & stuff in full description below ↓↓↓ Featuring Tadashi Tokieda, a professor of mathematics at Stanford University. More Tadashi Videos: http://bit.ly/tadashi_vids Discuss this video on Brady's subreddit: https://redd.it/95llyc Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Editing and animation in this video by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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357686312646216567629137 - Numberphile 357686312646216567629137 - Numberphile
2 months ago En
Truncatable Primes with Dr James Grime... Check out Brilliant (and get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Dr James Grime is available for public talks. See his website: http://singingbanana.com More videos with Dr Grime: http://bit.ly/grimevideos The Eastaway Prime Pencil (Pack of 11 via Mathsgear): http://bit.ly/357686312646216567629137pencil Truncatable Prime T-Shirts by Numberphile US: https://teespring.com/truncatable-prime-US EU: https://teespring.com/truncatable-prime-EU Prime number videos: http://bit.ly/primevids Discuss this video on Brady's subreddit: https://redd.it/92bx0p Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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The Six Triperfect Numbers - Numberphile The Six Triperfect Numbers - Numberphile
3 months ago En Es
Check out Brilliant (and get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ This video features Dr James Grime - http://singingbanana.com Catch James in a recent Objectivity video with Brady: https://youtu.be/B4gzt8v401Q More James Grime videos on Numberphile: http://bit.ly/grimevideos More videos on Perfect Numbers: http://bit.ly/PerfectNumbers Triperfect T-Shirt... US: https://teespring.com/en-GB/triperfect-numbers EU: https://teespring.com/en-GB/triperfect-numbers-EU Discuss this video on Brady's subreddit: https://redd.it/8ursq4 Extra links for Brilliant... Number Theory course: https://brilliant.org/NumberphileNumberTheory/ Problem of the Week (always good fun): https://brilliant.org/NumberphilePOTW/ Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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The Slightly Spooky Recamán Sequence - Numberphile The Slightly Spooky Recamán Sequence - Numberphile
4 months ago En
Check out Brilliant (and get 20% off their premium service): https://brilliant.org/numberphile (sponsor)... More links & stuff in full description below ↓↓↓ Check out Brilliant's Problem of the Week (it's free): https://brilliant.org/NumberphilePOTW/ Alex Bellos: http://www.alexbellos.com/ The coloring book featuring the Recamán Sequence: https://amzn.to/2t7CWE5 More videos with Alex: http://bit.ly/Bellos_Playlist The Recamán Sequence on the OEIS: https://oeis.org/A005132 Full length video of Tiffany Arment coloring the patern: https://youtu.be/4TK_raXODbo Tiffany Arment: https://twitter.com/tiffanyarment Thanks also to Edmund Harriss. Patreon: http://www.patreon.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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The Problem with 7825 - Numberphile The Problem with 7825 - Numberphile
5 months ago En
Signup for your free trial to The Great Courses Plus here: http://ow.ly/b5wA30hIviV (sponsor) More links & stuff in full description below ↓↓↓ James Grime on a proof involving Pythagorean Triples. James Grime: http://singingbanana.com (book him for a talk) More on the proof: https://www.cs.utexas.edu/~marijn/ptn/ Preprint of the paper: https://arxiv.org/abs/1605.00723 Ron Graham videos: http://bit.ly/Ron_Graham Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile The Great Courses Plus is currently available to watch through a web browser to almost anyone in the world and optimized for the US, UK, and Australian markets. The Great Courses Plus is currently working to both optimize the product globally and accept credit card payments globally.
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The Silver Ratio - Numberphile The Silver Ratio - Numberphile
5 months ago Es
The silver ratio (and other metals) with Tony Padilla. More links & stuff in full description below ↓↓↓ Golden editions are sold out (for now) but more shirts available at https://teespring.com/stores/numberphile More Tony Padilla videos: http://bit.ly/Padilla_Numberphile Tony's Twitter: https://twitter.com/DrTonyPadilla Golden Ratio playlist: http://bit.ly/Golden_Ratio Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile More Numberphile T-Shirts: https://teespring.com/stores/numberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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The Golden Ratio (why it is so irrational) - Numberphile The Golden Ratio (why it is so irrational) - Numberphile
5 months ago En
Check out Brilliant (and get 20% off) by clicking https://brilliant.org/numberphile Featuring Ben Sparks --- More links & stuff in full description below ↓↓↓ Golden seeds limited edition T-Shirt: https://teespring.com/NP-Seeds More Golden Ratio stuff: http://bit.ly/Golden_Ratio More Ben Sparks Numberphile videos: http://bit.ly/Sparks_Playlist Ben's Twitter: https://twitter.com/SparksMaths Ben's website: www.bensparks.co.uk Geogebra file Ben used: https://www.geogebra.org/m/YThycjQK#material/T8eKzDu5 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): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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The Coin Hexagon - Numberphile The Coin Hexagon - Numberphile
5 months ago En
Featuring Alex Bellos. See the accompanying Dudeney Pentominoes video: https://youtu.be/wZ1E_CM7MqA More links & stuff in full description below ↓↓↓ More Alex Bellos videos: http://bit.ly/Bellos_Playlist Coin playlist: http://bit.ly/coins_videos Box of Puzzles: https://youtu.be/Co7Ph4zo1P8 Math Jokes: https://youtu.be/JJQWtGm3eIs Related Bellos books on Amazon... US links Can You Solve My Problems: https://amzn.to/2Fzo59K Puzzle Ninja: https://amzn.to/2rhd4ob UK links Can You Solve My Problems: https://amzn.to/2w6isjO Puzzle Ninja: https://amzn.to/2HL31mE Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Combinatorics and Higher Dimensions - Numberphile Combinatorics and Higher Dimensions - Numberphile
6 months ago En
Featuring Federico Ardila from San Francisco State University - filmed at MSRI. More links & stuff in full description below ↓↓↓ Federico previously on Numberphile: https://www.youtu.be/OfEv5ZdSrhY Federico's webpage: http://math.sfsu.edu/federico/ Antarctica Timelapse: https://www.youtu.be/o71TFQBTCG0 Objectivity: https://www.youtube.com/c/objectivity_videos Thanks to our Patrons, including: Jeremy Buchanan, Arjun Chakroborty, Yuriy Panov, Jeff Straathof, Susan Silver, Andy, Yana Chernobilsky, Christian Cooper, James Bissonette, Ken Baron, Bill Shillito, Ben, Tony Fadell, Turner Lehmbecker, Bernd Sing, Dr Jubal John, Thomas Buckingham, Adam Savage, Roman Pinchuk, Tianyu Ge, john buchan, Joshua Davis, Steve Crutchfield, Jon Padden, Kristo Käärmann, Vali Dobrota, D Hills, Eric Mumford, Charles Southerland, Arnas, Ian George Walker, Tracy Parry, George Greene, Igor Sokolov, Alfred Wallace, Bodhisattva Debnath Patreon: http://www.patreon.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Editing and animation by Pete McPartlan Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Round Peg in a Square Hole - Numberphile Round Peg in a Square Hole - Numberphile
7 months ago En
Featuring Tadashi Tokieda - more Tadashi videos at: http://bit.ly/tadashi_vids More links & stuff in full description below ↓↓↓ Tadashi Tokieda is a Professor of Mathematics at Stanford University (though this was filmed when he was at Cambridge, in the UK). Animation by Pete McPartlan. Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Conway Checkers - Numberphile Conway Checkers - Numberphile
7 months ago En
Continues with the proof at: https://youtu.be/Or0uWM9bT5w Featuring Zvezdelina Stankova - more videos with her at: http://bit.ly/zvezda_videos More links & stuff in full description below ↓↓↓ John Conway videos: http://bit.ly/ConwayNumberphile Pebbling a chessboard: https://youtu.be/lFQGSGsXbXE Parker Square: https://youtu.be/aOT_bG-vWyg Parker Square merch: https://teespring.com/stores/parker-shapes Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Catalan's Conjecture - Numberphile Catalan's Conjecture - Numberphile
8 months ago En
With Dr Holly Krieger from Murray Edwards College, University of Cambridge. Have a look at Brilliant (and get 20% off) here: https://brilliant.org/Numberphile More links & stuff in full description below ↓↓↓ More Numberphile videos with Dr Krieger: http://bit.ly/HollyKrieger Her Twitter: https://twitter.com/hollykrieger Some more reading on the topic: http://www.ams.org/journals/bull/2004-41-01/S0273-0979-03-00993-5/S0273-0979-03-00993-5.pdf Open Problems Group on Brilliant: https://brilliant.org/groups/open-problems-group Editing and animation by Pete McPartlan Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Superpermutations - Numberphile Superpermutations - Numberphile
8 months ago En
The Great Courses Plus (free trial): http://ow.ly/C3FE30hIvhc This video features Dr James Grime. More links & stuff in full description below ↓↓↓ More James Grime on Numberphile: http://bit.ly/grimevideos James Grime: http://singingbanana.com Tackling the Minimal Superpermutation Problem: https://arxiv.org/abs/1408.5108 (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): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 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.
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Calculating a Car Crash - Numberphile Calculating a Car Crash - Numberphile
9 months ago En
Check out https://brilliant.org/numberphile (20% off premium subscription) This video features Ben Sparks. More links below ↓↓↓ Ben Sparks website: https://www.bensparks.co.uk More of Ben on Numberphile: https://youtu.be/ETrYE4MdoLQ https://youtu.be/kbKtFN71Lfs Editing and animation in this video by Pete McPartlan. Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 NOTE: The s in the SUVAT equations more precisely represents "displacement", but for the purposes of this video and to keep things simpler we used distance!
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River Crossings (and Alcuin Numbers) - Numberphile River Crossings (and Alcuin Numbers) - Numberphile
9 months ago En
Discussing vertex covers and Alcuin numbers for graphs - and a famous old puzzle. Filmed at MSRI with Dr Annie Raymond. More links & stuff in full description below ↓↓↓ Annie Raymond: https://www.msri.org/people/38568 The Alcuin Number of a Graph: https://link.springer.com/chapter/10.1007/978-3-540-87744-8_27 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. Discuss this video on Brady's subreddit: https://redd.it/7ob1n2 NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Ham Sandwich Problem - Numberphile Ham Sandwich Problem - Numberphile
10 months ago En
This video features Dr Hannah Fry (more links below) ↓↓↓ Check out Brilliant.org: https://brilliant.org/numberphile (20% off premium subscription) That circle cutting problem on Brilliant: https://brilliant.org/NumberphileSandwich Hannah Fry on Twitter: https://twitter.com/FryRsquared Read about Hannah's Xmas book (and buy a copy to show her some support!): http://www.bradyharanblog.com/blog/hannahs-book More Hannah videos on Numberphile: http://bit.ly/hannah_vids Animation by Pete McPartlan Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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An astonishing old calculator - Numberphile An astonishing old calculator - Numberphile
10 months ago En
Cliff explains his passion for two Friden EC-132s. Extra discussion and explanation at: LINK More links & stuff in full description below ↓↓↓ More Cliff videos: http://bit.ly/Cliff_Videos Calculator Unboxings: http://bit.ly/CalcUnbox Millionaire Machine: https://youtu.be/wwh0KH-ICCw Additional thanks to http://www.oldcalculatormuseum.com Read more about the machine at: http://www.oldcalculatormuseum.com/friden130.html Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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An unexpected way to inflate a balloon - Numberphile An unexpected way to inflate a balloon - Numberphile
11 months ago En
Using a kamifusen (a Japanese paper balloon). Featuring Tadashi Tokieda. More Tadashi videos: http://bit.ly/tadashi_vids More links & stuff in full description below ↓↓↓ Objectivity (videos by Brady about science objects): http://bit.ly/Objectivity Discuss this episode on reddit: https://redd.it/7dkb81 Buy a paper balloon like this on amazon: http://amzn.to/2ASTUsR Or check out this groovy planet one: http://amzn.to/2zOq3BV Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Editing and animation in this video by Pete McPartlan Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 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 --- https://www.youtube.com/sixtysymbols
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The Enormous TREE(3) - Numberphile The Enormous TREE(3) - Numberphile
12 months ago En
Professor Tony Padilla on the epic number, TREE(3). Continues at: https://youtu.be/IihcNa9YAPk More links & stuff in full description below ↓↓↓ Graham's Number: http://bit.ly/G_Number Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Some good additional reading on Tree(3): https://cp4space.wordpress.com/2012/12/19/fast-growing-2/ https://en.wikipedia.org/wiki/Kruskal%27s_tree_theorem https://mathoverflow.net/questions/93828/how-large-is-tree3
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Secrets to measuring a piece of paper - Numberphile Secrets to measuring a piece of paper - Numberphile
2 years ago En
When Cliff Stoll sets your homework, there's always an extra lesson. More links & stuff in full description below ↓↓↓ More Cliff videos: http://bit.ly/Cliff_Videos Cliff's Klein Bottles: http://www.kleinbottle.com Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile
2 years ago En
With Dr Holly Krieger from Murray Edwards College, University of Cambridge. Have a look at Brilliant (and get 20% off) here: https://brilliant.org/Numberphile More Numberphile videos with Dr Krieger: http://bit.ly/HollyKrieger Her Twitter: https://twitter.com/hollykrieger Extra detail via Holly: Here's a link to an article (meant for a somewhat general audience) by Bob Devaney explaining the numbers of components, which are called periods: https://plus.maths.org/content/os/issue40/features/devaney/index And more from Bob: http://math.bu.edu/DYSYS/FRACGEOM2/FRACGEOM2.html If checking out https://brilliant.org/Numberphile --- Try the complex algebra course at http://bit.ly/Brilliant_Complex Editing and animation by Pete McPartlan Farey Sums: https://youtu.be/0hlvhQZIOQw Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Juggling by Numbers - Numberphile Juggling by Numbers - Numberphile
2 years ago En
Juggling with Colin Wright. More links & stuff in full description below ↓↓↓ Colin Wright on Twitter: https://twitter.com/colinthemathmo Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Note from Brady: The occasionally flipped "G" on the green ball does not mean anything. It's just a result of some image flipping during editing to keep the balls in the right places.
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Equally sharing a cake between three people - Numberphile Equally sharing a cake between three people - Numberphile
2 years ago En
Audible (30-day trial, free audio book): https://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ This video features Dr Hannah Fry. More videos with Hannah: http://bit.ly/hannah_vids Hannah's website: http://www.hannahfry.co.uk Her book mentioned is "The Mathematics of Love". Envy free cake cutting (the paper mentioned): https://arxiv.org/abs/1604.03655 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... http://bit.ly/CakeCuttingTrilogy Editing and animation in this video by Pete McPartlan Discuss this video on Brady's subreddit: https://redd.it/72jyww Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Strange Spheres in Higher Dimensions - Numberphile Strange Spheres in Higher Dimensions - Numberphile
2 years ago En
Squarespace (including 10% off): https://www.squarespace.com/numberphile Video features Matt Parker. More links & stuff in full description below ↓↓↓ Parker CIRCLE T-Shirts and Mugs (torment Matt at his live shows!): https://teespring.com/stores/parker-circle Parker Square: http://bit.ly/ParkerSquareTshirt More from this interview: https://youtu.be/RLZCpMPIeMc More Matt on Numberphile: http://bit.ly/Matt_Videos Matt Parker's own channel: https://www.youtube.com/user/standupmaths Matt's book on 4D stuff:http://bit.ly/Matt_4D_US or http://bit.ly/Matt_4D_UK Brady's new show, The Unmade Podcast: https://www.unmade.fm/ The man who loved circles: https://youtu.be/AzmUCL1OHhs Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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The Neverending Story (and Droste Effect) - Numberphile The Neverending Story (and Droste Effect) - Numberphile
2 years ago En
Cliff wants to tell a story on a Möbius strip... And discusses recursive hot chocolate!? More links & stuff in full description below ↓↓↓ More Cliff Stoll videos: http://bit.ly/Cliff_Videos Extra bit from this interview: https://youtu.be/RbCL4-98bIA Droste cocoa powder: http://amzn.to/2x4035F (Amazon affiliate link) Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Casting Out Nines - Numberphile Casting Out Nines - Numberphile
2 years ago En
Dr James Grime and a handy trick for checking calculations. Ditch the nines... More links & stuff in full description below ↓↓↓ Some extra footage from this interview: https://youtu.be/wQsQ8joretY Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Thanks to our Patrons: Jeremy Buchanan Ben Holden-Crowther Arjun Chakroborty Jeff Straathof Susan Silver Yana Chernobilsky Christian Cooper James Bissonette Ken Baron Bill Shillito Nicholas Garvey Tony Fadell Ryan Mehendale Paul Piciocchi at Curational Bernd Sing Dr Jubal John Thomas Buckingham Ole Kristian Merli Tianyu Ge Joshua Davis Steve Crutchfield Tyler O'Connor Jon Padden Today I Found Out Ciprian Stan Vali Dobrota D Hills Eric Mumford Charles Southerland Arnas Ian George Walker Paul Bates Tracy Parry Kristian Joensen Alfred Wallace
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The Trinity Hall Prime - Numberphile The Trinity Hall Prime - Numberphile
2 years ago En
A prime number "gift" from a mathematicians leaving his college. More links & stuff in full description below ↓↓↓ Featuring Tadashi Tokieda. More Tadashi: http://bit.ly/tadashi_vids Professor McKee explains: "Most of the digits of p were fixed so that: (i) the top two thirds made the desired pattern; (ii) the bottom third ensured that p-1 had a nice large (composite) factor F with the factorisation of F known. Numbers of this shape can easily be checked for primality. A small number of digits (you can see which!) were looped over until p was found that was prime." Animation and editing by Pete McPartlan. Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Braids in Higher Dimensions - Numberphile Braids in Higher Dimensions - Numberphile
2 years ago En
Braids and the fourth dimension, with Dr Zsuzsanna Dancso. More links & stuff in full description below ↓↓↓ More videos with Dr Zsuzsanna Dancso: http://bit.ly/dancso_playlist Extra bit from this interview: https://youtu.be/z39k3qMnSRM Animation by Pete McPartlan. Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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When do clock hands overlap? - Numberphile When do clock hands overlap? - Numberphile
2 years ago En
How often do a clock's minute and hour hands cross? Featuring Cliff Stoll..... See Objectivity at: https://www.youtube.com/c/ObjectivityVideos More links & stuff in full description below ↓↓↓ More Cliff videos: http://bit.ly/Cliff_Videos Cliff Stoll's Klein Bottle store: http://www.kleinbottle.com Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Aaron Numbers - Numberphile Aaron Numbers - Numberphile
2 years ago En
A story of baseball, number theory, and serendipity. More links & stuff in full description below ↓↓↓ Featuring Carl Pomerance from the Department of Mathematics at Dartmouth College. Images from Erdös/Aaron meeting courtesy of Rob & Madelyn Gould - http://www.mathcs.emory.edu/~rg/ Watch Hank Aaron's famous homerun: https://youtu.be/QjqYThEVoSQ Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Derangements - Numberphile Derangements - Numberphile
2 years ago En
Derangements featuring Dr James Grime. More links & stuff in full description below ↓↓↓ Extra footage from this interview: https://youtu.be/qYAWjIVY7Zw More Dr Grime on Numberphile: http://bit.ly/grimevideos e video: https://youtu.be/AuA2EAgAegE Special thanks to these Patrons on Patreon: Jeremy Buchanan Jeff Straathof Susan Silver Yana Chernobilsky Christian Cooper James Bissonette Ken Baron Bill Shillito Tony Fadell Erik Alexander Nordlund Bernd Sing Dr Jubal John Thomas Buckingham Tony Cox Ole Kristian Merli Tianyu Ge Joshua Davis Steve Crutchfield Patreon: http://www.patreon.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 "Thanks (f)or the mug"
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The Kolakoski Sequence - Numberphile The Kolakoski Sequence - Numberphile
2 years ago En
Thanks Squarespace: https://www.squarespace.com/numberphile More links & stuff in full description below ↓↓↓ Full length colouring video: https://youtu.be/a-6oOVdU7Oo Alex Bellos books (including colouring books): http://bit.ly/BellosBooks Colouring by Tiffany Arment: https://twitter.com/tiffanyarment (or coloring as it is America!) Thanks to Loretta Kolakoski for pictures of William (Bill). OEIS entry: https://oeis.org/A000002 Oldenburger paper (1939) pre-dating Kolakoski: http://www.ams.org/journals/tran/1939-046-00/S0002-9947-1939-0000352-9/S0002-9947-1939-0000352-9.pdf (the sequence is sometimes named for Oldenburger too) Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Large Gaps between Primes - Numberphile Large Gaps between Primes - Numberphile
2 years ago En
James Maynard on discoveries about large gaps between prime numbers. More links & stuff in full description below ↓↓↓ More Maynard videos: http://bit.ly/JamesMaynard Prime Playlist: http://bit.ly/primevids The 20 August paper: https://arxiv.org/abs/1408.4505 The 21 August paper: https://arxiv.org/abs/1408.5110 Terry Tao interview: https://youtu.be/MXJ-zpJeY3E Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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How many particles in the Universe? - Numberphile How many particles in the Universe? - Numberphile
2 years ago En
Sponsored by Skillshare... 2-months free to first 500 people: http://www.skl.sh/Numberphile More links & stuff in full description below ↓↓↓ This video features Dr Tony Padilla from the University of Nottingham. Extra bit from this video: https://youtu.be/58L2Y0eDr3U See more of Tony talking physics on Sixty Symbols: https://www.youtube.com/sixtysymbols Planck: http://sci.esa.int/planck/ Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 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: http://www.isaacpub.org/images/PaperPDF/AdAp_100039_2016122914005354452.pdf 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.
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Math vs Physics - Numberphile Math vs Physics - Numberphile
2 years ago En
Robbert Dijkgraaf is a mathematical physicist. Extra footage from this interview: https://youtu.be/FpkvNJCVEUA More links & stuff in full description below ↓↓↓ Robbert Dijkgraaf website: http://www.robbertdijkgraaf.com Physics videos by Brady (who makes Numberphile): https://www.youtube.com/sixtysymbols This video was filmed at the 2017 National Math Festival in Washington DC. Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation in this video by Pete McPartlan Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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A Quick Cake Conundrum - Numberphile A Quick Cake Conundrum - Numberphile
2 years ago En
A quick little problem from Cliff Stoll, who baked a birthday cake for Brady... More links & stuff in full description below ↓↓↓ A trilogy of mathematical cake cutting videos... http://bit.ly/CakeCuttingTrilogy See more Cliff videos: http://bit.ly/Cliff_Videos The scientific way to cut a cake... https://youtu.be/wBU9N35ZHIw Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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4D MONKEY DUST 4D MONKEY DUST
2 years ago En
Henry Segerman shows us shadows (and dust) from the fourth dimension! More links & stuff in full description below ↓↓↓ Dr Segerman is an assistant professor in the Department of Mathematics at Oklahoma State University. More Numberphile with him: http://bit.ly/Segerman_Videos Polytopes in the fourth dimension on Numberphile: https://youtu.be/2s4TqVAbfz4 Henry's website: http://www.segerman.org (this includes his book, an online version of the monkey animations, and links to buy and print the models he demonstrates) Discuss this video on Brady's subreddit: https://redd.it/6heiut This video was filmed during a visit by Henry to the Mathematical Sciences Research Institute (MSRI), which supports Numberphile: http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 More reading: "The quaternion group as a symmetry group", by Vi Hart and Henry Segerman, http://archive.bridgesmathart.org/2014/bridges2014-143.html With thanks to Will Segerman who also worked on the 4D monkey sculptures.
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13532385396179 - Numberphile 13532385396179 - Numberphile
2 years ago En
A number which could earn its "finder" a $1000 prize. More links & stuff in full description below ↓↓↓ John Conway videos: http://bit.ly/ConwayNumberphile Read more at: http://gladhoboexpress.blogspot.co.uk/2017/06/whats-so-special-about-13532385396179.html With thanks to James Davis. Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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A Nice Square - Numberphile A Nice Square - Numberphile
2 years ago En
Extra footage from our Squared Squares video: https://youtu.be/NoRjwZomUK0 More links & stuff in full description below ↓↓↓ Check out http://www.squaring.net for loads of great info. Nice Square merchandise US: https://teespring.com/nice-square-us EU: https://teespring.com/nice-square-eu James Grime: http://singingbanana.com Parker Square: https://youtu.be/aOT_bG-vWyg Squaring the Circle: https://youtu.be/CMP9a2J4Bqw New Parker Square Mug and Buttons: https://store.dftba.com/collections/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Squared Squares - Numberphile Squared Squares - Numberphile
2 years ago En
Featuring Dr James Grime. More links & stuff in full description below ↓↓↓ Extra footage from this interview: https://youtu.be/I0peG_kRE-4 Blog post about the old photo: http://www.bradyharanblog.com/blog/the-squared-square Check out http://www.squaring.net for loads of great info. Objectivity: https://www.youtube.com/c/ObjectivityVideos James Grime: http://singingbanana.com Parker Square: https://youtu.be/aOT_bG-vWyg Squaring the Circle: https://youtu.be/CMP9a2J4Bqw New Parker Square Mug and Buttons: https://store.dftba.com/collections/numberphile Nice Square merchandise US: https://teespring.com/nice-square-us EU: https://teespring.com/nice-square-eu Discuss this video on Brady's subreddit: https://redd.it/6fdupz Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Thanks to these Patrons: Jeremy Buchanan Jeff Straathof Susan Silver Yana Chernobilsky Christian Cooper James Bissonette Ken Baron Bill Shillito Tony Fadell Erik Alexander Nordlund Bernd Sing Dr Jubal John Thomas Buckingham Tony Cox OK Merli Tianyu Ge Joshua Davis Steve Crutchfield Tyler O'Connor Jon Padden Today I Found Out Ciprian Stan Vali Dobrota D Hills Charles Southerland Arnas Ian George Walker Paul Bates Jordan Smith Tracy Parry George Greene Kristian Joensen Alfred Wallace
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Gödel's Incompleteness (extra footage 1) - Numberphile Gödel's Incompleteness (extra footage 1) - Numberphile
2 years ago En
MAIN VIDEO: https://youtu.be/O4ndIDcDSGc More links & stuff in full description below ↓↓↓ Extra footage part 2: https://youtu.be/7DtzChPqUAw Professor Marcus du Sautoy is Simonyi Professor for the Public Understanding of Science and a Professor of Mathematics at the University of Oxford. Professor du Sautoy's book as mentioned... In the US it is called The Great Unknown - http://amzn.to/2sfkWpb In the UK it is called What We Cannot Know - http://amzn.to/2r5yztp More of his books: http://amzn.to/2ryEk4r Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Gödel's Incompleteness Theorem - Numberphile Gödel's Incompleteness Theorem - Numberphile
2 years ago En
Marcus du Sautoy discusses Gödel's Incompleteness Theorem More links & stuff in full description below ↓↓↓ Extra Footage Part One: https://youtu.be/mccoBBf0VDM Extra Footage Part Two: https://youtu.be/7DtzChPqUAw Professor du Sautoy is Simonyi Professor for the Public Understanding of Science and a Professor of Mathematics at the University of Oxford. Professor du Sautoy's book as mentioned... In the US it is called The Great Unknown - http://amzn.to/2sfkWpb In the UK it is called What We Cannot Know - http://amzn.to/2r5yztp More of his books: http://amzn.to/2ryEk4r Discuss this one on Brady's subreddit: https://redd.it/6eet91 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation in this video by Pete McPartlan Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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210 is VERY Goldbachy - Numberphile 210 is VERY Goldbachy - Numberphile
2 years ago En
Carl Pomerance discusses 210 and its special relationship with Goldbach's Conjecture. More links & stuff in full description below ↓↓↓ Goldbach's Conjecture: https://youtu.be/MxiTG96QOxw The paper discussed in this video: https://math.dartmouth.edu/~carlp/PDF/paper91.pdf Professor Pomerance is based at Dartmouth College. More Prime number videos: http://bit.ly/primevids Discuss on Brady's subreddit: https://redd.it/6duckx Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Goldbach Conjecture - Numberphile Goldbach Conjecture - Numberphile
2 years ago En
Professor David Eisenbud on the famed Goldbach Conjecture. More links & stuff in full description below ↓↓↓ Extra footage from this interview: https://youtu.be/7D-YKPMWULA Prime Playlist: http://bit.ly/primevids Prime Number Theorem: https://youtu.be/l8ezziaEeNE Printing the largest known prime: https://youtu.be/tlpYjrbujG0 New Numberphile merchandise (buttons and mugs) now available --- https://store.dftba.com/collections/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Professor Eisenbud is director at MSRI... See some of his favourite Numberphile videos: https://www.youtube.com/playlist?list=PLt5AfwLFPxWIAumFPal3SHia982bGTvmX We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Speed Unboxing - Calculator Unboxing #9 Speed Unboxing - Calculator Unboxing #9
2 years ago En
Eight calculators professionally unboxed in just 31 minutes. More links & stuff in full description below ↓↓↓ More unboxings and details: http://www.ssaarcasfpaa.com Discuss on Brady's subreddit: https://redd.it/6a75sy Featuring Matt Parker. More videos with Matt: http://bit.ly/Matt_Videos More unboxings with Matt: http://bit.ly/CalcUnbox Matt's website: http://standupmaths.com Matt does a different kind of unboxing - on Objectivity: https://youtu.be/Co7Ph4zo1P8 Calculator shopping... Transparent calculators: http://amzn.to/2pw8tMQ Texas Instruments calculators: http://amzn.to/2ps1iEE Abacus: http://amzn.to/2qnOFj4 Piano calculators: http://amzn.to/2qWcPgD Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Apéry's constant (calculated with Twitter) - Numberphile Apéry's constant (calculated with Twitter) - Numberphile
2 years ago En
Patreon: http://www.patreon.com/numberphile More links & stuff in full description below ↓↓↓ Tony Padilla is an associate professor of physics at the University of Nottingham. Here he discusses the zeta function and Apéry's Constant. More Tony videos: http://bit.ly/Padilla_Numberphile Tony's Tweet: https://twitter.com/DrTonyPadilla/status/828527018081918976 Roger Apéry pics courtesy of François Apéry Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. Thanks to these Patreon supporters: Jeremy Buchanan Jeff Straathof Susan Silver Christian Cooper Dr Jubal John James Bissonette Ken Baron Bill Shillito Tony Fadell Erik Alexander Nordlund Thomas Buckingham OK Merli Tianyu Ge Joshua Davis Steve Crutchfield Tyler O'Connor Jon Padden Today I Found Out Ciprian Stan Vali Dobrota D Hills Charles Southerland Arnas plusunim Paul Bates Jordan Smith Tracy Parry George Greene Kristian Joensen Alfred Wallace NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ End credits music by Alan Stewart - http://bit.ly/AlanAlbum Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Chaos Game - Numberphile Chaos Game - Numberphile
2 years ago En
The Great Courses Plus (sponsor): http://ow.ly/Ey3w30acleg This video features Ben Sparks. More links & stuff in full description below ↓↓↓ See our previous video with Ben: https://youtu.be/ETrYE4MdoLQ Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. Chaos Game Geogebra file: https://www.geogebra.org/m/yr2XXPms Barnsley Fern Geogebra file: https://www.geogebra.org/m/bQ8ppzRj NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 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.
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A 10,958 Solution - Numberphile A 10,958 Solution - Numberphile
2 years ago En
Previous video sets this up: https://youtu.be/-ruC5A9EzzE Extra on concatenation: https://youtu.be/LgnoYsbI7Uc More links & stuff in full description below ↓↓↓ We appreciate any help on Patreon - it lets us make a few more and better videos: http://www.patreon.com/numberphile Matt Parker on Numberphile playlist: http://bit.ly/Matt_Videos Matt's channel: http://bit.ly/StandUpMaths Parker Square T-Shirt: http://bit.ly/ParkerSquareTshirt Inder J. Taneja papers... Single Digit Representations of Natural Numbers https://arxiv.org/abs/1502.03501 Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9 https://arxiv.org/abs/1302.1479 Videos by Brady Haran Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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The 10,958 Problem - Numberphile The 10,958 Problem - Numberphile
2 years ago En
Featuring Matt Parker... Part 2 (solution) here: https://youtu.be/pasyRUj7UwM More links & stuff in full description below ↓↓↓ Discuss this video on Brady's subreddit: https://redd.it/6628q2 We appreciate any help on Patreon - it lets us make a few more and better videos: http://www.patreon.com/numberphile Matt Parker on Numberphile playlist: http://bit.ly/Matt_Videos Matt's channel: http://bit.ly/StandUpMaths Parker Square T-Shirt: http://bit.ly/ParkerSquareTshirt Inder J. Taneja papers... Single Digit Representations of Natural Numbers https://arxiv.org/abs/1502.03501 Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9 https://arxiv.org/abs/1302.1479 Videos by Brady Haran Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Twin Prime Conjecture - Numberphile Twin Prime Conjecture - Numberphile
2 years ago En
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: https://youtu.be/vkMXdShDdtY and https://youtu.be/D4_sNKoO-RA Prime Number Playlist: http://bit.ly/primevids Riemann Hypothesis videos: https://youtu.be/VTveQ1ndH1c and https://youtu.be/d6c6uIyieoo Terry Tao video: https://youtu.be/MXJ-zpJeY3E James Maynard's Small Gaps Between Primes: https://arxiv.org/abs/1311.4600 Polymath8: http://bit.ly/polymath8 With thanks to George Csicsery who made a documentary about Yitang Zhang: http://bit.ly/2nYNEIF Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://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: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails and never our best videos or important announcements: http://eepurl.com/YdjL9
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