Uploaded November 2022 | Updated September 2026, 2 weeks ago

---

With Ben Sparks. Episode sponsor is MEL Science. Visit melscience.com/sBLS and use code Numberphile for 50% discount.
More links & stuff in full description below ↓↓↓

Includes The Pigeon Hole Principle.

Ben Sparks on the Numberphile Podcast: youtu.be/-tGni9ObJWk
More Ben Sparks on Numberphile: bit.ly/Sparks_Playlist

Ben's website: bensparks.co.uk
Ben's YouTube channel: youtube.com/channel/UCNS_GTzkj_-qUoNAGaSX5jA

Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. simonsfoundation.org/outreach/science-sandbox

And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - akamai.com/company/corporate-responsibility/akamai-foundation

NUMBERPHILE
Website: numberphile.com
Numberphile on Facebook: facebook.com/numberphile
Numberphile tweets: twitter.com/numberphile
Subscribe: bit.ly/Numberphile_Sub

Videos by Brady Haran

Patreon: patreon.com/numberphile

Numberphile T-Shirts and Merch: teespring.com/stores/numberphile

Brady's videos subreddit: reddit.com/r/BradyHaran

Brady's latest videos across all channels: bradyharanblog.com

Sign up for (occasional) emails: eepurl.com/YdjL9

#melscience #melchemistry #melphysics #melkids