Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

A former employer sends a one-page letter offering two choices: accept a $90,000 lump-sum payment today or continue receiving $720 per month for life. You are 67, single, retired from a manufacturing ...

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 ...

The Uttar Pradesh Public Service Commission (UPPSC) has released the question papers and provisional answer keys for the Assistant Professor Recruitment Examination 2025 conducted for Government ...

The $8,640 annual pension divided by the $90,000 lump sum yields a ~10% payback rate, favorable but not decisive for a 67-year-old. Compounding $90,000 at 5% over 20 years produces ~$239,000 versus ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

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 ...

“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 ...

AI makes a major breakthrough in a math problem that had stumped experts for decades by Paul Arnold, Phys.org edited by Gaby Clark, reviewed by Robert Egan Editors' notes ...

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.” ...

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 ...