Join hosts Peter Littig and Noah King as they discuss and explain mathematical topics with their own unique style. Full of information that will interest and entertain math lovers as well as those who maybe don’t love it quite that much… yet. Mathematical concepts, history, paradoxes, and puzzles await you, along with a generous helping of witty banter and fun. Calling all members…. The Math Club is open!
Email - mathclubpodcast@gmail.com Twitter - @mathclubpodcast
A close call on the Math Club holodeck sends Pete and Noah down a wormhole investigating Kaprekar's Constant. Beam aboard as we explore strange new algorithms and boldly discover what happens when numbers are put through this interesting iterative process.
Questions Answered in the Episode
Hey there, Math Club. We have some exciting news to share. Noah has teamed up with yet another Pete to bring you yet another show! A Novel Approach is dedicated to creating novel length stories, produced as immersive audio productions. The first book is called "The End of Secrets", and it explores what happens when the ancient world of vampires collides with the modern world of AI. In each pair of new episodes, you'll get to hear a new chapter of the book, and then a short discussion about how that chapter was put together. We're including the first chapter here. If you like it and want more, you can find it on Apple Podcasts, or in whatever podcast app you like to use. Just search for "A Novel Approach", or use our RSS feed
A friend's story leads Pete and Noah to dive into the high-stakes world of poker to settle a debate: does a flush really beat a straight? Using the tools of combinatorics and probability, our hosts break down the math behind five-card hands and explore how the hierarchy of the game is built upon the frequency of outcomes. Ante up... the next hand is about to begin!
Questions Answered in the Episode
A chat with Alexa leads Pete to contemplate what it looks like to lead his best mathematical life. But what does that mean? In this episode, Pete and Noah discuss ways to view mathematics not as a rigid school subject, but as a "grand adventure" that is constantly present in your life.
Questions Answered in the Episode: • What does it mean to live a mathematical life? • How can the "I Notice, I Wonder" framework be used to find math in everyday life?
In this episode, veteran educator Sheila Robitaille joins Pete and Noah to discuss World Math Day, a global competition for students ages 5 to 18 that promotes mathematical fluency through 60-second "live Mathletics" games. The conversation highlights the 2026 theme, "United by Numbers," exploring how gamification can foster a growth mindset and make math fun and engaging for kids at all levels of math proficiency.
Register your child or students for World Math Day 2026
Leave us a voice message
Questions Answered in the Episode: • What is World Math Day and who is eligible to participate in the competition? • How does the gamification of mathematics help students develop a growth mindset and academic perseverance?
If we asked all of our listeners to look up the current population of their hometown and email us just the first digit of that number, what do you expect we'd find? Would the digits be evenly distributed, or would some be more common than others? In this episode, we look at Benford's Law, and learn some surprising truths about the distribution of numbers in natural data sets.
Questions Answered in the Episode: • What is Benford's Law and how does it predict the frequency of leading digits in data sets? • Why do natural data sets like city populations and surface areas often follow a logarithmic distribution of first digits?
Ever wonder how a website knows your credit card number is "invalid" before you even hit the submit button? In this commando-style holiday episode, Pete and Noah dive into the secrets of Luhn's Algorithm, a clever approach that uses simple arithmetic to validate sequences of digits. * Leave us a voice message * Find us on Twitter * Send us an email
Questions Answered in the Episode: • How does the Luhn algorithm work to validate credit card numbers? • Why do credit card companies use a checksum digit?
It's a simple question: What's your favorite number? But as Pete and Noah discover in this special episode, the answers are anything but simple—they're deeply personal, surprisingly mathematical, and always connected to a story. Join our hosts as they open up the floor to listeners, friends, and family to find out their favorite numbers and the fascinating reasons behind their choices.
Questions Answered in the Episode: • What numbers do people choose as their favorite number? • What are some reasons people choose certain numbers as their favorite?
Hey there Math Club. Our most recent episode, Math Club Junior: It’s a Zoo Out There, was our second special episode made specifically for kids. When Noah was planning how he wanted to use the episode with his own third grade class, he knew that some visuals would come in handy, so he created a slide deck with images to go along with each problem that the students will have to solve.
If you’d like to use this resource along with the audio, you can find it by going to: https://bit.ly/mcj_zoo We hope you find these images to be fun and helpful, and we’ll see you next time!
In this long-awaited followup to our popular Math Club Junior episode, Pete and Noah are back with Mrs. Morrison’s class, as chaperones on a field trip to the local zoo. Listen in as our group of Junior Zookeepers meet a whole new cast of zany characters, and once again learn that math is everywhere if you just look around. And just like last time, this story is full of interesting math challenges for listeners in the upper elementary grades to enjoy and solve. • A slide deck with visuals to go along with each problem from the story * Leave us a voice message * Find us on Twitter * Send us an email
A family visit to the Netherlands introduces Pete to the idea of average speed zones, which illustrate a particularly interesting mathematical theorem. Join our hosts as they really go off on a tangent about the mean value theorem, and how it just might get you a speeding ticket.
It’s finally here! Part Three of the Fermat Trilogy! In this exciting conclusion, Pete and Noah talk about the mathematicians who ultimately proved (or thought they’d proven) Fermat’s Last Theorem. Join us for the final chapter of this riveting 350 year journey!
Join us for part two of our deep dive into the history of Fermat's Last Theorem. In this episode, Pete and Noah focus on the fascinating story of Sophie Germain, a 19th century French mathematician who pursued a proof in the face of overwhelming obstacles. Come learn about this impressive chapter in the saga of one of the most interesting problems in mathematical history.
A few episodes back, our hosts talked about the great unsolved mathematical problems of our time, and Pete teased an interesting story about one such problem that was finally solved not too long ago. In this first of a two-part episode, we dive into the fascinating story of Fermat's Last Theorem... from its inception, to Fermat's bold claim that he had a proof that he couldn't share, to the mathematical greats of yesteryear who took up the challenge to prove it. Join us for a look into this intriguing conjecture, and its amazing history.
In this episode, Pete and Noah are joined by Andy Looney, the creator of the card game Fluxx, to talk about Math Fluxx and his history designing games. Whether you’re a math person who loves a good game or a game person who loves to do math, we’re sure you’ll find Andy and his story to be interestingly enjoyable. Game on!
If you've ever seen a science fiction movie or TV show, then you've heard of the spacetime continuum. But what is it, and is there math that describes it? In this episode, Pete and Noah dive into the facts about spacetime, and its fascinating mathematical history.
It’s the holiday season, and Pete and Noah are getting into the festive spirit by looking at the math behind a favorite Hannukah game. Join our hosts as they delve into the probabilities of the dreidel and uncover a counterintuitive truth about its fairness. Whatever traditions you and your family look forward to at this time of year, we promise a lively and interesting time as we take this topic for a spin. Seasons Greetings!
• Robert Feinerman's paper, An Ancient Unfair Game
In our last episode, finding Primo, Pete explained a couple of tests that mathematicians use when trying to decide if very large numbers are prime. We thought it might be helpful to see the math written down, so we put together this video bonus.
Finding Primo - full episode
Have you heard the big news? There’s a new largest known prime number, and Noah wants to know how it was discovered. In this episode, Pete explains the various tests used to determine the primality of insanely large numbers, and there’s even a prime challenge for you to sink your teeth into.
Are you ready to revisit the best of The Math Club? Pete and Noah share a trip down memory lane with a pair of special guests. But as they dive deeper into their past episodes, a nagging feeling grows harder to ignore.. Who are these mysterious guests, and what strange secret are they hiding from our hosts?
Episodes we reference in our conversation:
The memory of a restaurant-choosing game from grad school inspires Pete and Noah to look at different voting systems, and the math behind how they work to select a winning candidate. From standard majority rules to ranked choice to plurality with elimination, join our hosts for a lively (and timely) conversation about how our voting system can be just as important as our vote.
An unlikely string of coin flips leads to a conversation about a counterintuive puzzle that Pete found online. Join in on the fun as Pete and Noah dissect this problem, and talk about multiple ways to approach understanding its solution.
• Daniel Litt's Twitter post with the puzzle
• Noah's Scratch simulation of the problem
• Leave us a voice message
• DM us on Twitter
• Send us an email
Hey Math Club... Pete and Noah need your help with a data mystery, so they put this mini-episode together. If you think you have any info that can help shed some light, drop us a line...
Unsolved. From the origin of Stonehenge, to the identity of Jack the Ripper, to the location of all those missing dryer socks, the world is full of unsolved questions. But what about math? Join Pete and Noah as they discuss some of the great unsolved problems facing mathematicians today.
Pete’s efforts to help Noah prepare for an upcoming math competition lead to a conversation with Kristen Chandler, the executive director of MATHCOUNTS. Join Pete and Noah as they learn about this fascinating organization that provides engaging math programs to middle school students around the country.
A batch of almost perfect waffles leads Pete and Noah into an exploration of an interesting probability result. Come find out how, whether you’re eating breakfast or hiring a new employee, math is here to help you make the best choice.
It’s time for our second episode about the mathematics of Deal or No Deal. At the end of Part 1, Noah asked Pete if The Banker follows certain set rules or patterns when deciding how much to offer contestants, and a challenge was born. Is it possible to use data from past shows to devise an algorithm that can predict the offers? Stay tuned as Pete takes Noah along on his mathematical journey in search of a model that works.
The recent return of this classic game show prompts Pete and Noah to discuss the probability and statistics at work, to see if they can figure out what makes for a "good deal". Join in as they dive into the mathematics behind the show. They'll even present you with a challenge that could earn you a shout out on a future episode.
It's The Math Club's second anniversary, and what better way to celebrate than by telling a bunch of math jokes? Join us as we share our favorites, along with jokes from our listeners and a few special surprises along the way. Knock knock. Who's there? The Math Club!
How many dimensions does a sphere have? If you said three (like Noah did), you may be surprised to hear that you overshot. In this episode, Pete and Noah explore spatial dimensions, and use a literary classic to illustrate what it even means when mathematicians talk about spaces with more than three.
A family movie night reminds Pete of an ancient algorithm for calculating square roots, so it’s back to The Math Club with pencils and paper in hand. Join Pete and Noah as they investigate this algorithm to see just how accurate its results can be.
Hey there, Math Club. We're taking some time off to spend the holidays with our families, so this week we have a rerun of last year's holiday episode... So Many Birds.
Season's Greetings! With the holidays on the horizon, a famous song leads Pete and Noah to talk about strategies for adding up long sequences of numbers. Come join the fun, and learn how a young Carl Gauss may (or may not) have done it. And if you're up for a challenge, we even "sum it up" with a special holiday puzzle for you to try.
• Brian Hayes's article in American Scientist
• Leave us a voice message • Email us • Follow us on Twitter
Hey there, Math Club. We're taking some time off to spend the holidays with our families, so we have a rerun of one of our favorite episodes this week... Tales from Decrypt.
Today’s match-up answers the age-old question of what happens when an unstoppable brain meets an unbreakable cipher. In the red corner, weighing in at 2,193 digits…. Noah’s deviously encrypted message! And in the blue corner.... The Commissioner of Codebreaking…. The Foreman of Frequency Analysis…. Pete’s decoding skills! Only one will leave the ring victorious. Who will it be? Tune in and find out! The match is about to begin... DING DING DING!
• Encrypted passage to decode
• Leave us a voice message • Email us • Follow us on Twitter
In our last episode, Hip to be Square. Pete told us about two famous magic squares—the Sagrada Família magic square and the Dürer magic square—and he mentioned that it’s worth seeing them side by side. We thought it would be fun to put together this short video showing how they compare with one another.
Ever heard of a magic square? How about 17 quintillion magic squares? In this episode, Pete and Noah explore these fascinating mathematical objects to find out more about them. Join in the fun as we look at examples of centuries-old magic squares, and investigate the fascinating connections they share with some modern day puzzles.
Play KenKen
Leave us a voice message
In our last episode, Linear Thinking, Pete mentioned that one practical application of linear algebra is in the field of urban planning and traffic flow. Here's a video bonus to illustrate how a linear system of equations can be created from traffic data.
In this episode, Pete and Noah tackle an “unsolvable math problem” that appeared in a recent Newsweek article (Spoiler: It's not that unsolvable). Join us as we apply linear algebra to this puzzle from start to Finnish.
The Newsweek article
Leave us a voice message
In this episode, Pete and Noah explore the question, "Can AI do math?" Armed with several boxes of Chicken McNuggets, they put ChatGPT to the test, scrutinizing its mathematical prowess and giggling over how bad its attempts sometimes are. Join them as they investigate just how far the digital mind can go in mastering the realm of numbers.
A somewhat traumatic memory about fifth grade timed multiplication tests inspires Pete and Noah to have a conversation with Dr. Juli Dixon, author of a brand new program for teaching math facts fluency without all of the anxiety. Join us for our most factacular episode to date!
What do you get if you cross 11,520 isosceles triangles with the happiest place on Earth? The Epcot ball, of course, which is perhaps the most famous geodesic structure in the world. Join Pete and Noah as they investigate these incredibly sturdy mathematical objects… and make sure to wear your clam diggers!
Pete is back, and Noah is eager to hear about his trip and record a new episode about an interesting bit of European math. Join us for some zero-based counting, inspired by an elevator that Pete rode on his first day in Spain.
We’ve spoken with previous guests about classroom math instruction, as well as how to help students with learning disabilities in mathematics. But what about the enormous middle ground of students who need extra help, but don’t qualify for special education services? In this episode we’re joined by Jonathan Bleecker, owner of a Mathnasium learning center, for an engaging conversation about how math tutors help to fill in those gaps.
In this episode, the search for a temporary co-host to sub for Pete turns into a conversation about mathematical substitutions. Join Noah and (the other) Pete as they talk about this powerful strategy, and why being manipulative can be a good thing when you’re doing math.
With Pete away on vacation, Noah invites a panel of educators over for a lively conversation about mathematics instruction. Join us as the panel discusses their early days in the classroom, how math education has changed over the past few decades, and what changes they’d like to see in the future.
An idea for a new ice cream treat leads Pete and Noah to discuss the different conic sections that can be created by intersecting a cone with a plane at various angles. Grab a flashlight and get ready to shine a (cone-shaped) light on these interesting geometric creations with us.
You’ve probably seen people arguing on social media about memes that say: “Only a true genius will get this one right”, followed by a simple looking expression to evaluate. In this episode, a mathematical miscalculation inspires a conversation about math conventions, order of operations, and being careful before placing a delivery order. And the best news is, you don’t have to be a true genius to enjoy this episode!
In our last episode, Pete walked Noah through a calculation (using Newton's Law of Cooling) to predict what the temperature of a hot cup of water would be 10 minutes later. Here's a video bonus to help follow along with the calculations they made.
After Pete spills a cup of hot coffee, he and Noah conduct an experiment to test Newton’s Law of Cooling, a physical law that describes the rate at which warm objects cool down. Along the way, they discuss differential equations, exponential functions, and the proper way to sit after getting in a hot tub. This may be the hottest episode of the Math Club yet!
Have you ever engaged in some friendly smack-talk during a sporting event? In this episode, Pete and Noah are on the receiving end of a lot of teasing out on the softball field. After the game, they analyze this kind of interaction and use a clever thought experiment to shed light on an important issue of social equality.
We all know people who describe themselves as “not a math person”. For many of them it’s not simply a preference, but a neurological condition. In this episode, Pete and Noah speak with Dr. Anneke Schreuder about dyscalculia, the lesser-known mathematical counterpart to dyslexia. Join us for an eye-opening conversation as we learn what it is and how it can be identified and treated.
The Beach Boys are famous for "getting around", but do you know that the number one gets around a lot, too? In this episode, one takes center stage as Pete and Noah take a central look at some of the places, both exotic and familiar, that one gets around to. This is "one" episode you don't want to miss!
Happy birthday… to us! The Math Club is one year old today, and Pete and Noah are celebrating with a fun-filled discussion of the birthday paradox. Come join the celebration - you might be surprised where it takes you!
How much do you think you spent on gas when you took your last road trip? If you live in the United States, chances are that would make you think about your car's miles per gallon. But in other parts of the world, fuel effieciency is measured not in MPG, but in gallons per hundred miles. In this epsiode, Pete and Noah examine this fraction-flipping phenomenon, and weigh in on which version they like better. So hop in the car and get ready to go for a ride with the Math Club.
If we gave you a bunch of positive whole numbers and asked what you get when you add them all up, you’d have a pretty easy time of it... you are The Math Club, after all. But what if we gave you an infinite series of positive whole numbers and asked you what you get when you add them all up? In this episode, Pete and Noah talk about how mathematicians go about assigning a value in this seemingly impossible situation. Join us and learn about divergent series, and be ready to be surprised by some of the results.
• The Numberphile video
• Leave us a voice message • Email us • Follow us on Twitter
If you ever took a geometry class, you probably had to do some mathematical proofs. From the ancient Greeks to modern day mathematicians, proofs have played a vital role in advancing our understanding of the world around us. In this episode, Pete and Noah talk about their own experiences with proofs and look at several different kinds of proof along the way. Hop aboard the math train, and join us in an exploration of the fascinating world of mathematical proofs.
This week Pete and Noah team up with Shane and Mealey from the Unprofessional Development podcast, a show that features guests from the world of education sharing their stories about teaching. This joint episode finds the four hosts discussing teaching, math, teaching math, and spicy foods.
• Unprofessional Development Podcast
When you think about parts of a whole, you probably picture fractions that consist of a numerator and a denominator. But that’s not how all cultures throughout history worked with fractional parts. In this episode, Pete and Noah visit ancient Egypt and discuss the completely different way their mathematicians showed parts of a whole. Plus, there's a puzzle about camels!
• Rhind Mathematical Papyrus
In September of 1990, Parade Magazine columnist Marilyn vos Savant answered a reader’s question about a mathematical brain teaser, and received quite the backlash when most of the math community thought her solution was incorrect. Just about three years later, two new friends (and future Math Club hosts) bonded over math for the first time, discussing and debating this exact same puzzle. In this episode, Pete and Noah weave the two stories together into an interesting discussion about conditional probability, counterintuitive results, and being gracious when confronted with, what you believe is, someone else’s error.
This episode is a special math adventure for younger listeners. Pete and Noah are called into school to help with all of the mathy details around a class pizza party, and quickly discover that math is all around us all of the time. Chock full of interesting characters and math challenges for listeners to solve, this story is sure to delight listeners from third grade on up.
Interactive website that goes with the story: https://bit.ly/mathclubjunior Leave us a voice message here: https://www.speakpipe.com/mathclubpodcast
In this episode, Noah comes to Pete for some help with a really big paint job. After Pete explains just how big (and impossible) the job really is, they have a conversation about surfaces of revolution, and the seeming paradox of Gabriel's Horn.
Season's Greetings, Math Club! With the holidays on the horizon, a famous song leads Pete and Noah to talk about strategies for adding up long sequences of numbers. Come join the fun, and learn how a young Carl Gauss may (or may not) have done it. And if you're up for a challenge, we even "sum it up" with a special holiday puzzle for you to try.
• Brian Hayes's article in American Scientist
• Submit your puzzle solution here
In our last episode, Pete explained to Noah that imaginary numbers aren't so imaginary after all. This time around, he shows Noah how all the other numbers kinda are. So, if you thought there was something less than real about the square root of negative one, wait 'til you hear about the square root of positive two. Buckle up, Math Club, it's time to let our imagination run wild!
3Blue1Brown's video on visualizing quaternions
Imaginary numbers. We’ve all heard about them, but… what are they? Why are they imaginary? And what can we do with them? In this episode, Pete and Noah take on these questions and explore a bit of the history and practical applications of these unusual and complex numbers.
In this episode, Noah's having trouble with an old game from his childhood until Pete saves the day by tackling the twisty turns of topology. From donuts to coffee cups, and spheres to tori (or, as Noah calls them: toruses), come explore the interesting world of continuous deformations. It's time to get into shape!
In this episode, Pete and Noah are joined by Dan Finkel, founder of Math for Love and co-creator of the award winning game, Prime Climb. Listen in as they talk about Dan's work making math fun and accessible by tapping into children's natural desire to play. And because we know you love to play, too, Dan will also challenge you with a puzzle.
Math for Love
Dan's TED Talk - 5 ways to share math with kids
Submit your puzzle answer
Here's a sneak peek at what you can expect in our next episode... Oh, For the Love of Math!
Today’s match-up answers the age-old question of what happens when an unstoppable brain meets an unbreakable cipher. In the red corner, weighing in at 2,193 digits…. Noah’s deviously encrypted message! And in the blue corner.... The Commissioner of Codebreaking…. The Foreman of Frequency Analysis…. Pete’s decoding skills! Only one will leave the ring victorious. Who will it be? Tune in and find out! The match is about to begin... DING DING DING!
• Encrypted passage to decode
Surprise!!! Pete needs some more time with the codebreaking challenge, so this week we're giving you a previously unaired bonus episode from The Math Club's earliest days (six months ago). Also, Alexa finally grows too big for her britches.
Yesterday's episode explored the Diffie-Hellman Key Exchange algorithm, including a section in which Pete and Noah came up with a valid generator for a modulus of 23. The rules about what makes a generator valid can be a bit tricky without visuals, so we made this video bonus to help illustrate what's going on here.
If you use the internet, you rely on mathematical algorithms to securely transmit your private data over public networks. In this episode, Noah describes an encryption scheme he made up in high school, which leads to a discussion about how computers securely exchange encryption keys today. It all ends up with Noah getting Pete to put his money where his math is, by accepting an interesting decoding challenge.
• Encrypted passage to decode
• Diffie and Hellman’s original paper: New Directions in Cryptography
Pete's out with a broken leg, so Noah and Alexa use math to investigate the mathematics of his skateboarding accident. Listen in as they talk about angular momentum, the acceleration of falling bodies, and pounds of force generated upon impact.
Free Fall with Air Resistance Calculator
Force of Impact Car Crash Calculator
Math always seems so objective, with little room for debate. In other fields there are sometimes huge disagreements among experts. But what about math? In this episode, Pete and Noah discuss the age-old argument of where math came from... was it a discovery or was it an invention? Join us as we dive into the debate.
Here's a place where you can share your thoughts about our previous seven topics Were they more invention or more discovery? https://bit.ly/mathclubpodcast-ep8
Roger Penrose Video
Here's a sneak peek at what you can expect in our next episode... Discovery vs. Invention.
Infinity. Most kids first learn about this neverending concept when double and triple jinx don’t seem to do enough anymore. There are infinity pools, the Infnity Engine, and even an Inifinity War. But how does infinity differ from the counting numbers and the familiar rules that govern them? In this episode, Pete and Noah use the paradox of Hilbert’s Grand Hotel to explore infinity and discuss some of its interesting quirks.
Yesterday's episode dove into the numbers around a positive test result that is 99% accurate, when 1 in 100 people have a specific condition. The result was a bit surprising and counterintuitive, and this video bonus helps to show why it comes out the way it does.
In this episode, Noah's certain that he has a disease because he tested positive on a test that's 99% accurate. Does that mean he almost certainly has the disease? Pete's not so sure, and brings up a statistics concept to help shed some light on the numbers.
• Our online simulator that you can play with
• Submit your puzzle answer here
In our last episode, Pete asked us to envision the rotational symmetry of a square as a way to simplify the same concept as it applies to the Rubik's Cube. Here's a video bonus to help visualize this example.
Lots of us have played with a Rubik's Cube at one time or another, but did you know this simple little toy is chock full of math? Join Pete and Noah as they talk about billions of combinations, set theory, and the maximum number of moves required to solve the cube. *Skateboard not required.
You've heard about two-factor authentication, but have you heard about two-factor numbers? Of course you have! They're called primes, and in this episode Pete and Noah discuss what they are, how we find them, and some of the more interesting (and as-yet unproven) conjectures about them. Pete even speculates about how primes might make their Broadway debut!
In this episode, Pete and Noah provide opposing viewpoints on how to respond to a classic mathematical paradox. Show links:
• Game Theory and Strategy - Textbook used in Pete's Game Theory course
• Are you a one boxer or a two boxer? - Use this link to let us know what you'd decide after listening to the episode.
Here's a sneak peek at what you can expect in our next episode... Thinking Outside the Box.
In this episode, Pete and Noah discuss right triangles, pythagorean triples, and why the Scarecrow's brain might not be all it was cracked up to be. Show links:
• Pythagorean Theorem water demo
• 3Blue1Brown
• Plimpton 322
Sometimes you just have to break out the ol' manipulatives and visual aides. Here's a video bonus to help clarify the von Neumann construction that Pete talked about in episode 1.
Welcome to The Math Club! In this, our inaugural episode, we start at the origin of all things: Zero. Join us as we explore the special role zero plays in our system of arithmetic and discuss the dazzling way John von Neumann created everything from... nothing!