In 2000, the Clay Mathematics Institute placed million-dollar bounties on seven unsolved problems in mathematics—the Millennium Prize Problems—in the hopes of spurring solutions.

Explore galleries of featured submissions from the Desmos Art Contest—a yearly competition where students from around the world submit original work made with graphing calculator tools.

View a library of custom programs that can be loaded onto graphing calculators, including productivity tools, reference materials, games, and interactive applications, such as prom proposals.

As of 2025, the College Board has banned the use of calculators with computer algebra systems on the SAT and PSAT.

Mathematicians often solve problems using wordless mental processes

It's a common technique among expert mathematicians, where thinkers rely on intuition, blurry perceptions and subconscious work—no writing, no formulas. The state is distinct from daydreaming, and often relies on sudden illuminations stemming from extended periods of subconscious reflection.

The US lags behind other developed countries in math and science scores

The Programme for International Student Assessment, administered every three years by the OECD to 15-year-olds, scores US students below the OECD average in math (465 vs. 472) and only slightly above average in science (499 vs. 485). These figures place US pupils in the lower half of developed nations.

How a competition honoring a king's birthday uncovered history's first chaotic system

A committee established a contest for King Oscar II's 60th birthday, featuring four unsolved problems in mathematics, including one on proving the stability of a system of more than two objects held together by gravity. Focusing on three celestial objects, Henri Poincaré won the prize for his proof, which he later learned was incorrect and, upon correcting it, instead proved these systems to be unstable.

How the number 15 solved a longstanding math challenge

The “packing coloring” problem asks how many numbers are needed to fill an infinite grid so that identical numbers never get too close to one another. A new computer-assisted proof finds a surprisingly straightforward answer—only 15. While...

Experience games that explore Nobel Prize-winning work

Inspired by the educators who set laureates on their path, the Nobel Foundation has created a library of interactive activities for the general public. These allow users to make groundbreaking discoveries, showing that such work is accessible to all.

One reason Americans are bad at math

The president of Barnard College explains why we need to better understand the links between math anxiety, math avoidance, and the US’s dismal test scores.

The all-time list of every modern Olympic sport

Curious about which sports were played at the 1894 Olympics? Want to learn the rules of Breaking? This list gives a comprehensive overview of every Olympic sport ever played, sortable by game type and specific Olympic year. Click into a sport to see a brief overview, a list of rules, and an explainer video.

Explore an optical table to create quantum physics experiments

This interactive teaches users to create quantum experiments through lessons resembling video game levels. Users can also use the virtual lab to visualize landmark quantum experiments like entanglement, teleportation, cryptography, and quantum computing, or create their own experiments with drag-and-drop elements.

Explore a collection of moon interactives from NASA, including a 3D lunar surface explorer, a tool for classifying moon rocks, and an interactive map for observing the moon each day of the year.

An overview of 12 fundamental types of algorithms and the uses for each

These include search algorithms to quickly process and find important information, cryptographic algorithms to secure communications, randomized algorithms—such as Monte Carlo simulations for estimating probabilities of outcomes—and greedy algorithms, which make optimal choices based on available data in a step-by-step fashion, as seen in navigation apps.

The Ocean Observatories Initiative aims to provide freely accessible, real-time ocean data for up to 30 years to help scientists identify and analyze short- and long-term ocean processes.

The history of the 10 axioms of Zermelo–Fraenkel set theory with choice, regarded as the most universal foundations of math

Like postulates in geometry—accepted truths that form the logical building blocks for formal proofs of more complex theorems—axioms cannot be proven, but set the underlying logic and rules for systems. The ZFC axioms resulted from painstaking work to identify the underlying rules of mathematics and are built on the premise of sets, or well-defined collections of elements.

This interactive website features nearly 40,000 photos from Wikipedia for you to create visual mosaics with.

Visualize how data becomes organized through a variety of sorting algorithms

This interactive shows how different algorithms shift elements in a randomized set to order them from smallest to largest. By comparing the different procedures and their corresponding functions, users can explore how runtimes vary across algorithms that complete the same task.

The most bizarre numbers in the universe

Even for math-y types, some numbers are incomprehensible. This article dives into several kinds of numbers more complicated than even irrational numbers with endless decimals like "pi" or Euler's number: Noncomputable numbers. Read the bizarre...

Bad Ancient: a site to fact-check claims about the ancient world

Peruse popular questions about ancient Rome, Egypt, Greece, and more, from whether Greek boxers were ripped or to what extent Alexander the Great conquered the world.

Create your own cipher by combining mathematical operations and encryption protocols

This tool allows users to build an encryption workflow in which the output of one customizable function becomes the input to another, thereby creating undiscovered methods for obscuring information via a series of ciphers.

A 14-year-old "human calculator" shatters six mathematical world records in one day

A teenage prodigy from Maharashtra, India named Aaryan Shukla set the record for the fastest time to mentally add 50 five-digit numbers. He did so in just 25.19 seconds–roughly equivalent to one addition every 0.5 seconds. The math whiz said he practices calculations for around five to six hours a day.

How math whizzes exploit sportsbooks

Chris Dirkus is a professional sports bettor who approaches the hobby as a math problem, not from a fan's perspective. He focuses on mispriced odds in popular games where many fans are betting for high liquidity. He's one of a rare segment of sports bettors exploiting slow models and human mistakes.

A visual guide to the athletic events the Olympics left behind

The series of competitions in today's version of the Olympic Games are the survivors of years of experimentation. This illustrated guide details some of the sports and creative competitions that didn't make the cut. Some sports were dropped due to their lack of visual appeal, while others were simply too specific, like the swim limited to sailors of the Royal Greek Navy.

Explore 1,800+ exercises with an interactive muscle map that lets you click any muscle to see targeted exercises, including video tutorials and written instructions.

Search a massive database of over 4 decades of clues from the TV quiz show 'Jeopardy!'

Explore different ways the ancient Greeks laid the foundation of Western culture, from philosophy to sports (w/quiz).

Within mathematics, some infinities are bigger than others

While the concept of infinity refers to a countless set of items, these infinite sets can be compared to one another by matching an item from one set to an item in another, one by one. This analysis shows that certain sets must be larger than others because some infinite sets have leftover, unmatched items.

The Ishango bone suggests mathematics was born about 20,000 years ago

Ancient civilizations developed mathematical systems for various purposes, including the Egyptians for the construction of the pyramids and the Ancient Greeks for logical reasoning in theorems. However, these systems were predated by the Ishango bone—found in the Democratic Republic of the Congo—whose notches suggest a base ten system, prime numbers, and simple mathematical operations.

An interactive periodic table maps every possible combination of cheese variables

Plotting milk type, texture, rind, mold, aging, and processing as intersecting axes, the tool shows which combinations already exist as named cheeses, which survive only as rare regional styles, and which remain entirely unexplored.

Explore more than 7,000 of the world's languages

Google collects open-source data on languages, detailing how many known speakers each language has, whether its endangered, and where in the world it is spoken.

Explore interactive simulations of strange attractors, the graphs that help visualize chaos

Although simple, linear equations reach an explicit value for a given input, such as *f(x) \= x* + 1 equaling 4 when *x* equals 3, some chaotic, nonlinear systems tend to evolve towards multiple values simultaneously. These simulations allow users to observe the unusual mathematical artifacts created by systems as their outputs evolve toward these distinct values.

View a ranking of research institutions, filterable by region, country, research area, or journal group.

There are more chess game variations than observable atoms in the universe

Mathematician Claude Shannon estimated there are 10 to the 120th power variations of chess games possible. Known as the "Shannon number," this is more than the estimated number of atoms in the cosmos.

Explore a collection of resources celebrating the 20th anniversary of the ISS

The media includes a 3D model of the International Space Station, a gallery of images taken from there of Earth, a set of virtual puzzles created from images related to the station, and an ISS digital coloring book.

Charting how many Olympic tickets are sold

This chart compares the total number of tickets sold for Summer Olympic sporting events with the number of tickets available. The article sources the data from the International Olympic Committee website and goes back to the 1984 Games in Los Angeles.