Ten advances in mathematics
OpenAI announced that an internal version of its upcoming Astra model solved ten previously open problems in mathematics and theoretical computer science, including the existence of non-sofic groups and new sphere-packing bounds. The results were published as machine-checkable Lean proofs on GitHub for roughly $2,000 in compute, and Fields Medalist Timothy Gowers said he would recommend one of the proofs for a top journal without hesitation.
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