Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...

Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...

RPSC 1st Grade admit card 2026: Rajasthan Public Service Commission will release the RPSC 1st Grade Teacher admit card on May 25, 2026, for candidates appearing in the School Lecturer direct ...

A chatbot solution Recently, the company behind ChatGPT, OpenAI, announced that its internal AI model had made progress on a closely related version of this problem, which suggests that Erdős may have ...

OpenAI claims its model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years — a breakthrough hailed as evidence of the bot’s creativity and “intuition.” ...

The Batman Part 2 set photos just leaked, and Gotham looks freezing for a reason. New images from the Liverpool set tease a chilling direction for Matt Reeves’ highly anticipated sequel. The Batman 2 ...

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 ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Getting a depth module in Subnautica 2 increases your tadpole submarine's depth resistance and lets you explore further without having to worry about finding oxygen spots. However, you'll reach the ...

Goldbach’s conjecture sounds almost too simple: every even number greater than two should be the sum of two primes. Mathematicians have chased it for nearly 300 years, a publisher once offered $1 ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...