Loading...

#education #vsauce

The McNugget Number

639,053 views

Loading...

Loading...

Transcript

The interactive transcript could not be loaded.

Loading...

Rating is available when the video has been rented.
This feature is not available right now. Please try again later.
Published on Jun 24, 2019

Watch my newest video, "Battleship In A Submarine - U.S. Navy vs Vsauce2": https://youtu.be/LbALFZoRrw8

Get The Curiosity Box: https://www.curiositybox.com/
Curiosity Box Store: https://curiositybox.com/store

The Frobenius Number -- also called the McNugget Number -- is the highest number you *can’t* make out of two integers that have a greatest common divisor of 1. This late 19th-century math quirk was examined by Ferdinand Frobenius and expanded on by JJ Sylvester, but it came to public consciousness by examining the impossible orders of McDonald’s McNuggets in the United Kingdom.

Poring over the possibilities of ordering chicken nuggets might seem like a trivial affair, but the concept of the Frobenius Number appears in important aspects of real life. It’s the beginning of thinking about optimization in certain areas, like the coin-based currencies we use worldwide. What denominations of coins are best mathematically? Which combinations fit best with how humans actually think and live?

And that’s how we started thinking about whether the United States could need an 18-cent coin.

By looking how we can combine nuggets and how we utilize coins -- including a “greedy algorithm” that helps us select the method in which we make change -- I found that sometimes the most optimal mathematical way of doing things just isn’t the right fit for how we navigate the world.

*** LINKS ***

How To Order 43 Chicken McNuggets by Numberphile
https://youtu.be/vNTSugyS038

Chicken Nugget Numbers by DataGenetics
http://datagenetics.com/blog/august22...

Jeffrey Shallit
https://cs.uwaterloo.ca/~shallit/pape...

What This Country Needs is an 18 Cent Piece by Jeffrey Shallit
https://cs.uwaterloo.ca/~shallit/Pape...

Formula For the Frobenius Number In Three Variations
http://web.iitd.ac.in/~atripath/publi...

*** VSAUCE LINKS ***

Vsauce2 Links
Twitter: https://twitter.com/VsauceTwo
Facebook: https://www.facebook.com/VsauceTwo

Hosted and Produced by Kevin Lieber
Instagram: http://instagram.com/kevlieber
Twitter: https://twitter.com/kevleeb
Podcast: https://www.youtube.com/thecreateunknown

Research And Writing by Matthew Tabor
https://twitter.com/TaborTCU

Editing by Aspect Science
https://www.youtube.com/channel/UCyi0...

Huge Thanks To Paula Lieber
https://www.etsy.com/shop/Craftality

Select Music By Jake Chudnow: http://www.youtube.com/user/JakeChudnow

#education #vsauce

Loading...

Advertisement
When autoplay is enabled, a suggested video will automatically play next.

Up next


to add this to Watch Later

Add to

Loading playlists...