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OpenAI claims it solved an 80-year-old math problem — for real this time

Key Takeaway: OpenAI claims a new reasoning model created an original proof disproving a famous 1946 Erdős geometry conjecture, marking what it says is the first major open math problem solved autonomously by general-purpose AI.

More Insights:

• OpenAI previously made a similar claim about GPT-5 solving Erdős problems, but that turned out to be wrong because the solutions already existed.

• This time, OpenAI published support from respected mathematicians, including Noga Alon, Melanie Wood, and Thomas Bloom.

• The model reportedly found a new family of geometric constructions that beats the long-assumed square-grid approach.

• OpenAI says the proof came from a general-purpose reasoning model, not a specialized math-only system.

• The company argues this shows AI can sustain long chains of reasoning and discover connections humans may have overlooked.

Why it matters: If the claim holds up, this is a major signal that AI is moving from remixing known knowledge toward genuinely expanding human knowledge — not just answering questions, but helping discover what no one had found before.

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Sam Altman makes 'mic drop' offer to every Y Combinator startup

Key Takeaway: Sam Altman offered every startup in the current Y Combinator batch $2 million in OpenAI credits in exchange for future equity, creating a powerful but potentially risky incentive to build on OpenAI.

More Insights:

• OpenAI is offering AI tokens instead of cash through an uncapped SAFE.

• The deal could give startups major relief from expensive AI infrastructure costs.

• OpenAI benefits by gaining equity and pulling YC startups deeper into its ecosystem.

• Critics warn founders could become dependent on OpenAI or expose their ideas to a powerful platform.

• The biggest risk is giving up equity and burning through the credits without building enough lasting value.

Why it matters: This is less about free compute and more about platform control: OpenAI is trying to become the default foundation for the next generation of AI startups before they even raise serious money.

OpenAI Is Preparing to File for an IPO in the Coming Days or Weeks

Key Takeaway: OpenAI is reportedly preparing to confidentially file for an IPO soon, aiming for a possible public debut as early as September while facing major questions about revenue, spending, competition, and its corporate structure.

More Insights:

• OpenAI is working with Goldman Sachs and Morgan Stanley on a draft IPO filing.

• The company could file confidentially within days or weeks, possibly as early as Friday.

• A recent legal win against Elon Musk removed a major obstacle before the IPO.

• Investors remain concerned about OpenAI’s massive data-center spending and missed internal targets.

• Competition from Anthropic, Google, and others is pressuring OpenAI to shift strategy fast.

Why it matters: OpenAI going public would turn the AI race into a public-market spectacle, forcing investors to decide whether frontier AI is the next trillion-dollar platform shift — or an extremely expensive bet still searching for durable profits.

Other stuff

• Spotify and Universal Music strike deal allowing fan-made AI covers and remixes

• Anthropic will pay xAI $1.25B per month for compute

• ChatGPT-generated story won a prestigious literary prize

• Elon Musk will be king at SpaceX

• The next phase of OpenAI’s Education for Countries

• Claude is telling users to go to sleep mid-session and nobody understands why

• One in three Japan firms using or considering AI robots: Reuters poll

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