Episodes
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There’s a new largest known prime number and we speak to all the key players, including the discoverer Luke Durant. Also featured in the podcast are George Woltman from GIMPS, James Grime, and Matt Parker.
Extended interviews (as videos) can be found here: https://www.youtube.com/playlist?list=PLt5AfwLFPxWIWS5Jd3k5QHdc0kxwfnZMg
Matt Parker’s epic video on Stand-up Maths is here: https://youtu.be/zsyGRDrDfbI
Numberphile’s main video on the discovery is here: https://youtu.be/Yp4ilFOtoeg
The GIMPS press release is here: https://www.mersenne.org/primes/?press=M136279841
GIMPS: https://www.mersenne.org
More Numberphile videos on Mersenne Primes from over the year: https://youtube.com/playlist?list=PLt5AfwLFPxWKsTwVXpLscZdfiiqAkkGCA
Numberphile is supported by Jane Street - https://www.numberphile.com/jane-street
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Here are our Patrons - https://www.numberphile.com/patrons
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Ellen Eischen is a professor of mathematics at the University of Oregon. Here she discusses creativity, collaboration - and a “secret” journal she has kept since childhood.
Ellen Eischen website (includes some links to the teaching we discussed): http://www.elleneischen.com
Women in Numbers: https://awm-math.org/research-networks/win/
Creativity Counts museum exhibit: https://jsma.uoregon.edu/CreativityCounts
Ellen on Numberphile discussing Faulhaber's Fabulous Formula (and Bernoulli Numbers): https://youtu.be/83NFR7JDlww
Numberphile is supported by Jane Street - https://www.numberphile.com/jane-street
We also work with the Simons Laufer Mathematical Sciences Institute - https://www.slmath.org
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Here are our Patrons - https://www.numberphile.com/patrons
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Missing episodes?
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Catch a video version of this episode at: https://youtu.be/xMAiBBxQGZI
Danica McKellar is best-known for portraying girl-next-door Winnie Cooper in The Wonder Years - but she has also proven a math theorem (which bears her name) and writes books to inspire future mathematicians.
Check out her math website and books at: https://mckellarmath.com
And Danica’s general website at: https://danicamckellar.com
Danica on Instagram: https://www.instagram.com/danicamckellar/
Danica’s books on Amazon: https://amzn.to/3VQdzny
Danica’s co-authored paper which led to the Chayes–McKellar–Winn theorem: https://scienceblogs.de/geograffitico/wp-content/blogs.dir/70/files/2012/07/i-5bb4f4203312f2a650f3294cf4ddac13-percolation.pdf
Brady’s dog Winnie: https://www.instagram.com/the_wonderful_winnie/
The Wonder Years: https://en.wikipedia.org/wiki/The_Wonder_Years
Jane Street opportunities (episode sponsor): https://www.janestreet.com/join-jane-street/overview/
Jane Street’s Insight program as mentioned on the show: https://www.janestreet.com/join-jane-street/programs-and-events/insight/
Numberphile is also supported by the Simons Laufer Mathematical Sciences Institute: https://www.slmath.org
You can support Numberphile on Patreon: https://www.patreon.com/numberphile
Here are our Patrons: https://www.numberphile.com/patrons
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This podcast marks the passing of James Harris Simons, better-known as Jim.
The interviewees are John Ewing, David Eisenbud and Andrew Millis.
The Simons Foundation - https://www.simonsfoundation.org
Simons Foundation article about Jim’s life - https://www.simonsfoundation.org/2024/05/10/remembering-the-life-and-careers-of-jim-simons/
Brady’s interview with Jim for Numberphile (full hour-log version) - https://www.youtube.com/watch?v=QNznD9hMEh0
Shorter 18-minute version - https://www.youtube.com/watch?v=gjVDqfUhXOY
Math For America - https://www.mathforamerica.org
The Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI) - https://www.slmath.org
The Flatiron Institute - https://www.simonsfoundation.org/flatiron/
The Chern-Simons form - https://en.wikipedia.org/wiki/Chern%E2%80%93Simons_form
The Archimedes (Jim’s yacht) - https://www.feadship.nl/fleet/archimedes1
Numberphile has been supported by The Simons Foundation (via SLMath) for many years. We are yet another of Jim’s legacies.
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Here are our Patrons - https://www.numberphile.com/patrons
Numberphile Podcast by Brady Haran
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Donald Knuth is unquestionably a legend of computer science and mathematics - but he is bad at estimation and grew up with a “rhinoceros attitude”.
Don Knuth’s homepage - https://www-cs-faculty.stanford.edu/~knuth/
The Art of Computer Programming (books) - https://www-cs-faculty.stanford.edu/~knuth/taocp.html
On Amazon - https://amzn.to/4aUkkeT
3:16 (book) - https://amzn.to/4aRs9lH
Knuth’s questions for Chat GPT - https://www-cs-faculty.stanford.edu/~knuth/chatGPT20.txt
Knuth videos on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWLfLjzHzmFO6T8jCZdipvQc
Brady’s video on John 3:16 from his Bibledex series - https://youtu.be/ZJjFebPW5b8
Ziegler’s Giant Bar - https://www.halfnuts.net/products/an-original-ziegler-giant-bar?variant=55664909259
Numberphile is supported by Jane Street - https://www.numberphile.com/jane-street
We also work with the Simons Laufer Mathematical Sciences Institute - https://www.slmath.org
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Here are our Patrons - https://www.numberphile.com/patrons
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Data journalist Walt Hickey looks deep into the numbers behind movies, TV shows, and all types of popular culture.
Walt’s new book is You Are What You Watch - https://amzn.to/3F8SwVo
Walt’s Website - https://walthickey.com
Numlock News - https://www.numlock.com
Dr Ian Malcolm from Jurassic Park - https://jurassicpark.fandom.com/wiki/Ian_Malcolm
Does Hollywood ruin books? - https://www.youtube.com/watch?v=FUD8h9JpEVQ Math and Movies (Animation at Pixar) - https://www.youtube.com/watch?v=mX0NB9IyYpU
The problem in Good Will Hunting - https://www.youtube.com/watch?v=iW_LkYiuTKE
Numberphile is supported by Jane Street - https://www.numberphile.com/jane-street
We also work with the Simons Laufer Mathematical Sciences Institute - https://www.slmath.org
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Here are our Patrons - https://www.numberphile.com/patrons
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Federico Ardila is a combinatorialist at San Francisco State University. He’s Colombian and in this episode he talks candidly about the struggles and prejudice encountered by people from different backgrounds as they try to make their mark in academia. And just so you know there’s happy ending in sight - this episode of the podcast will conclude with a stirring musical finale.
Federico’s site - https://fardila.com
SFSU page - https://math.sfsu.edu/faculty/ardila
SLMath supports Numberphile - https://www.slmath.org
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Here are our Patrons - https://www.numberphile.com/patrons -
Oxford mathematician James Maynard explains why he feared accidentally refusing the most famous prize in mathematics.
Watch this full interview on YouTube - https://youtu.be/yz-5BY_TTNI
Full 2022 Fields Medal Winners - https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2022
See our Fields Medal Playlist - https://bit.ly/Fields_Playlist
More James Maynard videos - https://bit.ly/JamesMaynard
James Maynard - https://www.sjc.ox.ac.uk/discover/people/professor-james-maynard/
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Here are our Patrons - https://www.numberphile.com/patrons -
He dreamed of being a great cricketer - but his love for equations led Ed Copeland to a career in theoretical physics.
Check out opportunities with episode sponsor Jane Street
Ed Copeland at the University of Nottingham
Numberphile videos with Ed
Some physics videos with Ed
A trilogy of longer videos with Ed
You can support Numberphile on Patreon
With thanks to SLMath
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Episode sponsored by Jane Street - check out their latest opportunities - https://www.janestreet.com/join-jane-street/overview/
Professor Michael Merrifield - https://about.me/michael.merrifield
Mike's Twitter - https://twitter.com/AstroMikeMerri
Mike Merrifield Video Playlist - http://bit.ly/Merrifield_Playlist
Sixty Symbols - Physics videos, many featuring Mike - https://www.youtube.com/user/sixtysymbols
Deep Sky Videos - https://www.youtube.com/user/deepskyvideos
Messier Objects Playlist - http://bit.ly/MessierObjects
Ralph Merrifield - https://en.wikipedia.org/wiki/Ralph_Merrifield
Ralph Merrifield author page on Amazon - https://amzn.to/3Hff0Gj
Galactic Astronomy by James Binney and Michael Merrifield - https://amzn.to/3Xme4Fs
Hand-written version of Mike's 'Good Will Hunting' paper - https://brady-haran.squarespace.com/s/MerrifieldPaperHandWritten.pdf
And here is the published version - https://adsabs.harvard.edu/full/1990AJ.....99.1548M
You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons
With thanks to SLMath - https://www.msri.org -
Professor Toro is the new director of the Simons Laufer Mathematical Sciences Institute (SL Math).
SL Math website - https://www.msri.org/
Announcement of Professor Toro's appointment - https://www.msri.org/web/msri/communications/tatiana-toro-msri-director-2022
MSRI is renamed SL Math - https://www.msri.org/web/msri/communications/msri-press-release-may-19-2022
Professor Toro's University of Washington webpage - https://sites.math.washington.edu/~toro/
Podcast with David Eisenbud - Professor Toro's predecessor - https://www.numberphile.com/podcast/david-eisenbud -
Tadashi at Stanford - https://mathematics.stanford.edu/people/tadashi-tokieda
Tadashi videos on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWI9eDSJREzp1wvOJsjt23H_
Lev Davidovich Landau - https://en.wikipedia.org/wiki/Lev_Landau
You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org -
Professor Hannah Fry discusses her cervical cancer diagnosis - and subsequent attempt to make sense of it all.
Making Sense of Cancer - Showing on BBC2 on June 2 and then on BBC iPlayer - https://www.bbc.co.uk/programmes/m0017wzq
Telegraph Article - https://www.telegraph.co.uk/health-fitness/body/prof-hannah-fry-calculating-risks-cancer-treatment-would-have/
Hannah Fry website - https://hannahfry.co.uk/
Hannah Fry books - Amazon - https://amzn.to/3PzW4nz
Numberphile videos with Hannah - http://bit.ly/hannah_vids
Hannah previously on the podcast - https://www.numberphile.com/podcast/hannah-fry
Macmillan Cancer Support - https://www.macmillan.org.uk
NHS Cancer help - https://www.nhs.uk/conditions/cancer/
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org -
Tony Padilla is known on Numberphile for tackling the big numbers... But by day he's a cosmologist at the University of Nottingham. Tony's also a life-long fan of Liverpool FC. Brady joined him at Anfield for a game against Watford.
Tony at the University of Nottingham - https://www.nottingham.ac.uk/physics/people/antonio.padilla
Order Tony's book Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity
Amazon US - https://amzn.to/3JYQbws
Amazon UK - https://amzn.to/3M3yvB8
MacMillan US - https://us.macmillan.com/books/9780374600570/fantasticnumbersandwheretofindthem
Penguin UK - https://www.penguin.co.uk/books/316/316964/fantastic-numbers-and-where-to-find-them/9780241445372.html
Some videos with Tony on Numberphile - http://bit.ly/Padilla_Numberphile
And some videos with Tony on Sixty Symbols - https://bit.ly/Padilla_SixtySymbols
The Sum of the Integers being -1/12 - https://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
Liverpool v Watford on 2 April 2022 - https://www.youtube.com/watch?v=7eHdk_1mJqA
You can 'watch' the podcasts, including this one, on YouTube - https://www.youtube.com/playlist?list=PLH2AOVeIaWFmnXrXQ_UhKVy9Zp0RtRMm5
This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/
You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org -
Three One Four: A Number of Notes - http://mkweb.bcgsc.ca/pi/piday2022/
The project is a collaboration between Martin, Gregory Coles, and Emma Beauxis-Aussalet
On Bandcamp - https://ecstaticquiet1.bandcamp.com/album/three-one-four-a-number-of-notes
YouTube track playlist - https://youtube.com/playlist?list=PLewycy5dwN_nDZVW9fPcTRhGiGMEXqoxs
YouTube album discussions and score analysis - https://youtube.com/playlist?list=PLewycy5dwN_k_nAU9bhbTaDAKW3YAo_WW
Martin Krzywinski - http://mkweb.bcgsc.ca
62.8 trillion digit computation of Pi - https://www.fhgr.ch/en/specialist-areas/applied-future-technologies/davis-centre/pi-challenge
Some of Martin's previous Pi visualisations can be found here - http://mkweb.bcgsc.ca/pi/
This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/
You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org -
Catch this episode on YouTube - https://youtu.be/DPyWf4cI548
The Prison Mathematics Project - https://www.prisonmathproject.org/about/
The Paper: Linear fractional transformations and non-linear leaping convergents of some continued fractions - https://arxiv.org/abs/2002.12644
Article by Marta Cerruti on The Conversation - https://theconversation.com/an-inmates-love-for-math-leads-to-new-discoveries-130123
You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org -
Mathematician Zvezdelina Stankova was born in Bulgaria and is now a teaching professor at UC Berkeley.
Zvezda's webpage - https://math.berkeley.edu/~stankova/
Zvezda videos on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWIbAPK1oJgRIpe0sWiPKkQ4
The Legend of Question Six - https://www.youtube.com/watch?v=Y30VF3cSIYQ
Berkeley Math Circle - https://mathcircle.berkeley.edu
This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/
You can support Numberphile on Patreon - https://www.patreon.com/numberphile
Like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org -
A breakthrough paper is published about using artificial intelligence to do mathematics - we discuss it with DeepMind's Alex Davies and Professor Marcus du Sautoy.
DeepMind - https://deepmind.com
DeepMind blog on this topic - https://deepmind.com/blog/article/exploring-the-beauty-of-pure-mathematics-in-novel-ways
Nature article on the topic - https://www.nature.com/articles/d41586-021-03593-1
Article from The Conversation by Geordie Williamson, who worked on the project - https://theconversation.com/mathematical-discoveries-take-intuition-and-creativity-and-now-a-little-help-from-ai-172900
Marcus du Sautoy - https://www.simonyi.ox.ac.uk
The Creativity Code - book on Amazon - https://amzn.to/3Dmxak2
Collaborator Geordie Williamson - https://www.maths.usyd.edu.au/u/geordie/
Collaborator Marc Lackenby - http://people.maths.ox.ac.uk/lackenby/
Collaborator Andras Juhasz - https://www.maths.ox.ac.uk/people/andras.juhasz
This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/
You can support Numberphile on Patreon - https://www.patreon.com/numberphile - like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org -
From high school drop-out to set theorist, Asaf Karagila shares his journey towards infinity. Asaf is a UKRI Future Leaders Fellow at the University of East Anglia.
Asaf's blog - http://karagila.org
Asaf's Twitter - https://twitter.com/AsafKaragila
Some Infinity stuff on Numberphile - https://youtube.com/playlist?list=PLt5AfwLFPxWKORZ3UeTKlJiJa-89BBz3t
You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org
This episode was also made possible by the UKRI Future Leaders Fellowship - https://www.ukri.org/our-work/developing-people-and-skills/future-leaders-fellowships/
UKRI Future Leaders Fellowship MR/T021705/1 -
Mathematical greatness can strike at any time - even on the train between Oxford and London.
Marcus is the Simonyi Professor for the Public Understanding of Science at Oxford University - https://www.simonyi.ox.ac.uk
Marcus' author page on Amazon - https://amzn.to/3eJNd1Z
I is a Strange Loop - book - https://amzn.to/3eJNd1Z
I is a Strange Loop - performance on YouTube - https://www.youtube.com/watch?v=xEORIj1Ecug
This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/
You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons
With thanks to MSRI - https://www.msri.org
Podcast by Brady Haran - https://www.bradyharanblog.com
With thanks to GWR - https://www.gwr.com - for the Oxford-London rail footage used in the YouTube version of this podcast - https://youtu.be/PVSkzNOXG1k
Additional train footage courtesy of Don Coffey - https://www.youtube.com/channel/UC8LH7xMAyCSqpClAvTHwJRw - whose video work is supporting Samaritans - https://www.samaritans.org/donate-now/ - Show more
