# The Million Dollar Equations - with Tom Crawford

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In the year 2000 it was announced that seven of the biggest unsolved problems in mathematics would each be given a $1million prize. Only one has been solved.

Watch the Q&A: https://youtu.be/AFc7kGfLSIc

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The seven million dollar equations are: the Riemann hypothesis, Navier-Stokes equations, P vs NP, the Poincare conjecture, Yang-Mills mass-gap hypothesis, the Birch and Swinnerton-Dyer conjecture, and the Hodge conjecture. In this talk, explains four of them.

Chapters:

00:00 - Introduction

05:30 - The seven Millennium Prize problems

09:00 - The Riemann hypothesis

30:41 - P vs NP

46:16 - Poincare conjecture

58:57 - Navier-Stokes equations

Tom Crawford is a tutor at St Hughs College, St Edmund Hall and St Johns College at the University of Oxford where he teaches maths to the first and second year undergraduates. Tom completed his PhD in applied maths at the University of Cambridge in 2016, where he conducted experiments looking at where river water goes when it enters the ocean.

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A very special thank you to our Patreon supporters who help make these videos happen, especially:

Adam Leos, Alan Latteri, Andrew Downing, Andrew McGhee, Andrew Weir, Anonymous, Christina Baum, Dave Ostler, David Crowner, David Lindo, David Schick, Fairleigh McGill, Frances Dunne, Gou Ranon, Greg Nagel, Jan Vetek, Jeffrey Schweitzer, Joe Godenzi, jonas.app, Kellas Lowery, Lasse T. Stendan, Martin Steed, Matt Townsend, Michelle J. Zamarron, Osian Gwyn Williams, Paul Brown, Paul Philippov, Rebecca Pan, Robert Reinecke, Roger Baker, Roger Shaw, Scott Edwardsen, Stephan Giersche, Tim Karr, and William 'Billy' Robillard.

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Watch the Q&A: https://youtu.be/AFc7kGfLSIc

Subscribe for regular science videos: http://bit.ly/RiSubscRibe

The seven million dollar equations are: the Riemann hypothesis, Navier-Stokes equations, P vs NP, the Poincare conjecture, Yang-Mills mass-gap hypothesis, the Birch and Swinnerton-Dyer conjecture, and the Hodge conjecture. In this talk, explains four of them.

Chapters:

00:00 - Introduction

05:30 - The seven Millennium Prize problems

09:00 - The Riemann hypothesis

30:41 - P vs NP

46:16 - Poincare conjecture

58:57 - Navier-Stokes equations

Tom Crawford is a tutor at St Hughs College, St Edmund Hall and St Johns College at the University of Oxford where he teaches maths to the first and second year undergraduates. Tom completed his PhD in applied maths at the University of Cambridge in 2016, where he conducted experiments looking at where river water goes when it enters the ocean.

---

A very special thank you to our Patreon supporters who help make these videos happen, especially:

Adam Leos, Alan Latteri, Andrew Downing, Andrew McGhee, Andrew Weir, Anonymous, Christina Baum, Dave Ostler, David Crowner, David Lindo, David Schick, Fairleigh McGill, Frances Dunne, Gou Ranon, Greg Nagel, Jan Vetek, Jeffrey Schweitzer, Joe Godenzi, jonas.app, Kellas Lowery, Lasse T. Stendan, Martin Steed, Matt Townsend, Michelle J. Zamarron, Osian Gwyn Williams, Paul Brown, Paul Philippov, Rebecca Pan, Robert Reinecke, Roger Baker, Roger Shaw, Scott Edwardsen, Stephan Giersche, Tim Karr, and William 'Billy' Robillard.

---

The Ri is on Patreon: https://www.patreon.com/TheRoyalInstitution

and Twitter: http://twitter.com/ri_science

and Facebook: http://www.facebook.com/royalinstitution

and Tumblr: http://ri-science.tumblr.com/

Our editorial policy: http://www.rigb.org/home/editorial-policy

Subscribe for the latest science videos: http://bit.ly/RiNewsletter

Product links on this page may be affiliate links which means it won't cost you any extra but we may earn a small commission if you decide to purchase through the link.

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