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AI just disproved an 80-year-old Erdős math conjecture, verified by a Fields Medalist — but OpenAI's last "Erdős breakthrough" claim was debunked. Real progress or hype cycle?

In May 2026, an OpenAI model made an unexpected cross-disciplinary leap: it linked a 1946 Erdős geometry puzzle (how many pairs of points on a plane can sit exactly one unit apart) to a completely unrelated 1964 algebraic number theory result, and used that connection to construct point arrangements beating every approach mathematicians had tried in 80 years — disproving Erdős's conjecture. Nine mathematicians, including Fields Medalist Tim Gowers, reviewed and confirmed the core ideas, calling it "a milestone in AI mathematics." One day later, Google DeepMind's AlphaProof Nexus independently solved nine more open Erdős problems using Lean, a system that checks proofs line by line rather than relying on a human reading them over. The catch: this isn't the first "AI cracks Erdős problems" headline. In October 2025, an earlier OpenAI claim of solving ten Erdős problems was thoroughly debunked by the math community. This time, unlike last time, independent mathematicians verified the work before it was announced.

This is real, verified original discovery. A genuine sign AI can now generate new science, not just recombine what's already known — and the human verification process by Fields Medalist Tim Gowers and others is exactly how it should work.
Handle with skepticism regardless of verification. OpenAI's own track record here includes a debunked claim just seven months earlier, and headline math "breakthroughs" tend to get overstated in the announcement before the dust actually settles.
Math is a uniquely easy domain for this. It's the one field where a computer can formally verify an answer is airtight, like DeepMind's Lean-checked proofs the very next day. That doesn't mean AI can do open-ended science in fields where there's no ground truth to check its work against.

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If you could safely visit one planet in our solar system, which would you pick?

Imagine a future where a round-trip to any planet takes a single afternoon and your safety is fully guaranteed — no radiation, no gravity issues, no return-trip math. NASA's probes have sent back stunning close-up imagery of each of these three worlds, and each one offers a wildly different experience: scorched-red desert canyons, a planet-sized storm system, or rings you could sail a ship through. Which one would actually be worth the trip, and why? Would you chase the eerie stillness of Mars, the psychedelic beauty of Saturn's rings, or the raw power of Jupiter's Great Red Spot?


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If given a chance, what moon or planet in the solar system would you choose to go to? If given a chance, what moon or planet in the solar system would you choose to go to? Originally Answered: If you had the opportunity to visit another planet in our solar system, which planet...
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If you could live on any planet in our solar system what would you choose outside of earth (it's off limits for the question)? Originally Answered: What planet in our solar system would you pick to live on and explore if you could be bio-engineered to live there comfortably an...
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