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 ...

Unlock the full InfoQ experience by logging in! Stay updated with your favorite authors and topics, engage with content, and download exclusive resources. Birgitta Böckeler, Distinguished Engineer at ...

👉 Learn how to solve exponential equations with the same base. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we make the base of ...

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When a startup struggles, founders usually assume the solution is obvious: more marketing, more hiring, or more capital. But in my experience advising founders, the real issue is usually something ...

Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...

I’m a new principal investigator (PI) with my own laboratory at a prestigious university. The PhD students who make it into our programme have already achieved a lot academically. But, sometimes, that ...

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Over the past couple of months, several researchers have begun making the same provocative claim: They used generative-AI tools to solve a previously unanswered math problem. The most extreme promises ...

At a secret meeting in 2025, some of the world's leading mathematicians gathered to test OpenAI's newest large language model, o4-mini. Experts at the meeting were amazed by how much the model's ...