My child never finishes their Japanese test on time.'When teaching Japanese for middle school entrance exams, I sometimes receive this kind of consultation.Even though it is a 50-minute test, they don ...

Emerald Pages ◆ Technology / Ethics How OpenAI “Solving” a $1 Million Math Problem Proves Your Chats Aren’t Private Emerald ...

On May 20, 2026, OpenAI made an announcement that shook the mathematical world. An internal AI model — one not available to the public — had come up with a counterexample to the “unit distance” ...

RALEIGH, N.C. — The scene unfolding outside his patrol car at 1:30 a.m. on Sunday startled even the veteran police chief. “It was chaotic,” Chief Rico Boyce recounted to city leaders at a public ...

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Shocking text messages released Thursday, penned by a fired State Police investigator and former Canton police officer, will be a “major, significant problem for the whole commonwealth” if they shake ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

Basically every recent, high-profile accusation of someone passing off AI-generated writing as their own has started in the same way: with a tool called Pangram. In March, when a horror novel from a ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...