OpenAI announced today that it had solved the problem, one of seven “Millennium Problems” seen as among the most important in higher mathematics.

The company’s announcement is the most dramatic sign yet that artificial intelligence is fundamentally transforming the field of higher mathematics.

The company’s announcement is the most dramatic sign yet that artificial intelligence is fundamentally transforming the field of higher mathematics.

The contactless version of the Korean martial art is making its debut at this year’s Asian Games. Critics say it’s a glorified video game.

Joan Birman thought her major discoveries were behind her. Then came an email from a young neighbor — a girl who knew little but wanted to learn.

Thousands of Kenyans made a living writing essays for overseas students. With A.I., the work has dried up, a warning for online gig work that has been a global lifeline.

Meet the earliest known insects. Shaking hands with them will take a while.

As Waymo deploys more driverless cars to 15 U.S. cities and counting, its vehicles keep encountering new and unexpected situations that they have no script to handle.

Veterinarians are gingerly embracing the honeybee, a vital pollinator for agriculture but one that’s in increasing danger.

Scientists have proved that a species of plant covered with sticky hairs is carnivorous, confirming Darwin’s 150-year-old hunch.

After working for a department store, she switched to archaeology and made important discoveries about prehistoric clothes and gender roles.

The state is a major importer of fracking wastewater, which gets pumped underground but doesn’t always stay there. The city of Marietta is fighting back.

© Maddie McGarvey for The New York Times

The state is a major importer of fracking wastewater, which gets pumped underground but doesn’t always stay there. The city of Marietta is fighting back.

I didn’t want to have to depend on a weather app to know when the storms are coming.

CapuchinAI, a portable testing station equipped with a touch screen and facial recognition software, could help scientists study primate intelligence in the wild.

Scientists managed to confirm pregnancies in three giant mantas with underwater ultrasound scans, offering clues to the animals’ elusive reproductive habits.

An annual convention in the California desert offered a safe space for believers to discuss extraterrestrial encounters, crop circles and other paranormal phenomena.

A team of scientists uploaded videos of the squirrel-like rodents in the wild on the adult-content site OnlyFans to raise money amid government budget cuts.

In a recent study, scientists devised a way of reversing the buildup of compounds that lead to some age-related diseases.

A favorite vacation option may be at risk because of rising temperatures. Even those sticking with their summer plans agree: More air conditioning would help.