Numberphile Courses

Primes and Primitive Sets - An Erdős Conjecture Is Cracked

Explore the fascinating world of prime numbers and primitive sets as mathematician Jared Duker Lichtman discusses the recent proof of a long-standing Erdős conjecture in number theory.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Euler's Formula

Explore fascinating aspects of Euler's Formula with mathematician Tom Crawford, uncovering its beauty and significance in mathematics through engaging explanations and visual demonstrations.

• YouTube
• 21 minutes
• On-Demand
• Free Video

The Math of Being a Greedy Pig - Numberphile

Explore the mathematics behind the dice game "Pig" with Ben Sparks. Learn optimal strategies, analyze probabilities, and discover the balance between risk and reward in this engaging mathematical exploration.

• YouTube
• 33 minutes
• On-Demand
• Free Video

The Drag Equation - Empire State Building vs Eiffel Tower

Explore the fascinating physics of drag as Tom Crawford compares the Empire State Building and Eiffel Tower falling through water, revealing surprising insights about fluid dynamics and shape effects.

• YouTube
• 25 minutes
• On-Demand
• Free Video

How Do Brains Count?

Explore how brains process numbers with neuroscientist Brian Butterworth, from animal counting to human mathematical cognition and its practical implications.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Why Is This 15-Puzzle Impossible? - Numberphile

Professor Steven Bradlow explains the mathematical impossibility of solving certain configurations of the classic 15-puzzle, exploring permutations, invariants, and the fascinating properties of this seemingly simple game.

• YouTube
• 24 minutes
• On-Demand
• Free Video

The Coronavirus Curve

Explore the SIR Model used to predict COVID-19 spread with Ben Sparks. Learn about epidemic modeling through clear explanations and live coding, gaining insights into the mathematics behind pandemic forecasting.

• YouTube
• 22 minutes
• On-Demand
• Free Video

A Miraculous Proof - Ptolemy's Theorem

Explore Ptolemy's Theorem with mathematician Zvezdelina Stankova, uncovering its elegant proof and connections to geometry. Discover the beauty and significance of this ancient mathematical concept.

• YouTube
• 38 minutes
• On-Demand
• Free Video

A Breakthrough in Graph Theory - Numberphile

Explore a breakthrough in graph theory, disproving Hedetniemi's conjecture through counterexamples. Delve into graph coloring, tensor products, and the implications of this mathematical discovery.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Approximating Irrational Numbers - Duffin-Schaeffer Conjecture

Explore the Duffin-Schaeffer Conjecture and its recent proof, delving into the fascinating world of irrational number approximations and their implications in number theory.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Darts in Higher Dimensions - Numberphile

Explore a fascinating mathematical puzzle involving darts and shrinking bullseyes in higher dimensions, featuring insights from 3Blue1Brown's Grant Sanderson.

• YouTube
• 32 minutes
• On-Demand
• Free Video

TREE vs Graham's Number - Numberphile

Explore the mind-bending concept of TREE vs Graham's Number, delving into successor functions, ordinal infinity, and the vastness of mathematical concepts beyond comprehension.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Navier-Stokes Equations

Explore the fascinating Navier-Stokes equations with Oxford mathematician Tom Crawford, discussing their significance and the $1 million Millennium Prize challenge they present.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Divisibility Tricks

Explore fascinating divisibility tricks with mathematician Tony Padilla, uncovering clever shortcuts for mental math and number theory concepts in this engaging Numberphile video.

• YouTube
• 28 minutes
• On-Demand
• Free Video

G-Conjecture - Numberphile

Explore h-vectors and the g-conjecture with mathematician June Huh, delving into higher-dimensional shapes, triangulation, and Euler's formula. Gain insights into complex mathematical concepts.

• YouTube
• 22 minutes
• On-Demand
• Free Video