Explore over 30,000 Olympiad-level math problems

The Millennium Prizes were created to spur solutions to seven unsolved problems

In 2000, the Clay Mathematics Institute brought public attention to the frontiers of mathematics by establishing $1M prizes for some of the most challenging problems mathematicians faced. As of 2025, only one problem has been solved, but the reward was turned down.

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 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.

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.

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.

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.

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.

A "no math" primer on quantum mechanics

Quantum mechanics may not immediately grasped, but it can be slowly understood through the experiments and discussions offered here by writer Dr. Miguel F. Morales. A professor of physics at the University of Washington in Seattle, Dr. Morales makes understanding the basics of quantum mechanics fun with a promised "no math" approach.

Explore an interactive map built from more than 100,000 survey responses on where people find joy in their lives

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

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

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.

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.

When you complete a CAPTCHA on a website to prove you are human, you may be unknowingly training algorithms for self-driving cars, whose systems require training data to help identify crosswalks, bicycles, and other outdoor objects.

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 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.

The term 'algorithm' originated from the Latinized name of al-Khwārizmī, a 9th-century mathematician whose works introduced Arabic numerals and the decimal-based numeral system to Europe and whose treatise 'Al-Jabr' gave algebra its name.

Explore an interactive database of critical minerals and their uses

Columbia University's Critical Materials Monitor identifies 56 elements required for the clean energy transition. The tool provides details on the reserves, production, and trade of each element, alongside what materials are needed for each technology (desktop only).

Explore OPEC’s official webpage

OPEC’s official website offers a comprehensive hub for its core work—featuring press releases, monthly and statistical reports, digital publications like the World Oil Outlook and Annual Statistical Bulletin, and other research center materials.

Explore an interactive map showing what makes people happy

Using 10,000 responses collected from people around the world about what makes them happy, this map offers insights into how relationships, finances, purpose, and small treats all contribute to a person's contentment. Recent data suggests that young people today are less happy than those in previous generations, indicating a need to reflect on what really matters in life.

GothamChess built the largest online chess audience in the world

International Master Levy Rozman, known as GothamChess, has more than 6 million YouTube subscribers and billions of views. His mix of tutorials, commentary, and humor has introduced millions of new fans to the game in the digital era. In this video, he discusses his decision to challenge Grandmaster Magnus Carlsen.

How March Madness bracketology became a national obsession

An estimated 60 million people fill out March Madness brackets yearly, despite a one in 9.2 quintillion chance of filling it out perfectly. This Smithsonian magazine article explores how UCLA's dominance in the 1960s and '70s made brackets boring and predictable, and how the expansion to 64 teams and putting games on TV played a huge role in popularizing March Madness brackets.

Microsoft Excel is used by over a billion people worldwide

The upstart computer software company Microsoft launched its columns-and-rows spreadsheet program in 1985, enabling users to sort information, create charts, and perform calculations with minimal friction. It would be coupled with Microsoft Word and PowerPoint in 1990 as part of the Microsoft Office for Windows.

Scientists identify hundreds of genes responsible for OCD

Researchers analyzed the DNA of more than 53,000 people with OCD and identified 30 areas in the genome linked to the disease, containing 249 genes of interest. Of those, several were linked to other brain disorders, paving the way for genetic treatments of various mental illnesses.

Breaking down Anthropic's products and why their models are named after literary forms

Since March 2024, the Claude series of large language models includes three varieties—Haiku, Sonnet, and Opus—named to metaphorically illustrate increasing complexity and computing power. Claude Code can perform software engineering tasks for developers and, as of January 2026, writes nearly all of Anthropic's code alongside Opus 4.5.

Visualize the growth of the Linux kernel source code, which surpassed 40 million lines in 2025

Version 0.01 of the program authored by Linus Torvalds in 1991 spanned approximately 10,000 lines of code and has progressively grown to accommodate the management of an increasing number of hardware and software components. The kernel grows by an estimated 400,000 lines of code every two months.

Visualize the path of every solar eclipse from 1900 to 2099 and see what each looks like when observed from different locations on Earth.

Clever Hans was a 1900s horse that was believed to be able to solve math equations, tell time, and read and comprehend German, until a psychology student discovered how he got his answers.

As of 2025, the most cited papers in science include a review of graphene, methods to improve image recognition, streamlining electron density calculations, and optimizing protein studies.

When you complete a CAPTCHA on a website to prove you are human, you may be unknowingly training algorithms for self-driving cars, whose systems require training data to help identify crosswalks, bicycles, and other outdoor objects.

Use this tool to calculate the dollar value of your parental mental load, from meal planning to coordinating after-school care, then see resources that help generate solutions.

Explore the animals that populate the depths of the ocean, from fish and coral in the first few hundred feet, all the way down to the bottom of the Mariana Trench.

Explore a list of the 100 best novels of all time, compiled by some of the world's best living writers, including Salman Rushdie, Stephen King, and Jennifer Egan.

The hormonal disorder PCOS was renamed PMOS in 2026, a move designed to improve care and research by shifting the focus to the hormonal causes of this condition that affects 1 in 8 women.

Browse a detailed visual analysis of over 200,000 similes—comparisons that often use 'like' or 'as'—from popular fiction to see how frequently writers the same idiomatic expressions.

Explore chaos in this simulation of two double pendulums, where small differences in the release angles produce wildly different outcomes.

Stanford built a Google Maps for the Roman Empire, revealing how much it cost to travel in the ancient world

See photos of Meteora, a mountainous site in central Greece, home to 14th-century monasteries perched atop soaring outcroppings.

Roughly 43 million US borrowers owe roughly $1.7T in student debt, the second-largest source of consumer debt behind mortgages.

Radioactive elements can introduce software errors because the ionizing radiation they produce can detach electrons from atoms, and computer code relies on the distribution of electrons.

Hear 50 years of iconic hip-hop samples, the genre's foundational looped tracks

Memecoins are a type of cryptocurrency—a form of digital currency with a wide variety of uses—created around popular 'memes,' or viral internet jokes.

Learn how to read a prospectus, the juicy document that any company must file with the SEC before going public.

Art theft is the third-largest source of criminal revenues worldwide, thanks in part to the subjective nature of valuing a work of art.

Apeirophobia is an overwhelming fear of living forever, perhaps stemming from the brain's inability to conceptualize an infinite life.

Between 10 million and 50 million people in the US develop rashes from poison ivy, poison sumac, and poison oak each year.

Apollo astronauts left items in the moon's 'toss zone,' including golf balls, family photos, and bags of human waste, to make room for lunar rocks.

See this overview of the firework rules across all 50 states, ranging from a complete ban on non-professional fireworks in Massachusetts to states with more lax rules like Indiana.