By encoding mathematical statements into numbers, mathematician Kurt Gödel used ordinary arithmetic to check whether a ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

OpenAI makes big splash with AI finding math problem breakthrough. Real lesson is to use AI to find counterexamples. An AI ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...

A general-purpose reasoning model, not a math-trained system, produced a new family of point configurations that broke Paul Erdős's 1946 upper bound for the pla ...

Materials inspired by nature, or biomimetic materials, are nothing new. Scientists have designed water-resistant materials inspired by lotus leaves and rose petals, unsinkable metals based on the ...

A simple and efficient method to integrate the Solvecaptcha captcha-solving service into your code, enabling the automation of solving various types of captchas. Examples of API requests for different ...

PyPy, an alternative runtime for Python, uses a specially created JIT compiler to yield potentially massive speedups over CPython, the conventional Python runtime. But PyPy’s exemplary performance has ...

One of the coolest things about generative AI models — both large language models (LLMs) and diffusion-based image generators — is that they are "non-deterministic." That is, despite their reputation ...

There are precision measurements, and then there’s the Laser Interferometer Gravitational-Wave Observatory. In each of LIGO’s twin gravitational wave detectors (one in Hanford, Washington, and the ...

Math meets magic! 🧠 This cool mathematical trick uses numbers to create a surprising and impossible result. No calculators, no complicated formulas—just smart logic that feels like real magic.