OpenAI is removing unlimited text chat limits for free ChatGPT users and rolling out the new GPT-5.6 Luna model as the default for Free and Go tiers, while Plus and Pro users get an upgraded GPT-5.6 Sol model. Internal evaluation shows GPT-5.6 Luna reduces factual errors by 62% compared to GPT-5.5-Instant, and GPT-5.6 Sol reduces them by 68%. Free users gain unlimited text conversations alongside a new adjustable "Think" button for complex reasoning, while paid users get improved response quality and tuning controls for model reasoning depth.
AI models from OpenAI solved multiple historical mathematical problems posed by Paul Erdős, starting with a counterexample to the 1946 unit distance conjecture in May 2026, followed by 10 additional advances in August 2026. A website created by mathematician Thomas Bloom in early 2023 cataloging nearly 1,000 Erdős problems became the central hub where AI researchers and mathematicians collaborated to verify and generate solutions, with costs now measured in computational tokens rather than prize money. The solutions demonstrate that large language models have become competitive in certain areas of mathematics like number theory and combinatorics, reshaping how mathematical research is conducted and evaluated.
Prime Intellect open-sourced Prime Agent, a coding harness that uses a persistent Python REPL instead of fixed tool schemas, where sub-agents operate as function calls within that kernel. With Claude Opus 5, it achieved 95.5% on ARC-AGI-3, surpassing the reported human expert baseline of 95.4%. The system enables multi-hour agentic tasks for engineering teams and AI labs while allowing users to deploy on their own infrastructure or cloud APIs.
OpenAI released GPT-5.5, which tops objective benchmarks like the Artificial Analysis Intelligence Index with a score of 60 points, but hallucinates and confidently makes incorrect statements more often than Claude and Gemini. Pricing starts at $5 per million input tokens with xhigh reasoning mode costing $30 for output tokens. Meanwhile, major AI companies including Alphabet, Amazon, Meta, and Microsoft are building natural-gas power plants to meet AI infrastructure demands, straining their earlier net-zero climate commitments.
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