Researchers at the University of Manchester have disproven a 50-year-old mathematical conjecture posed by Paul Erdős using techniques inspired by OpenAI's recent AI breakthrough. The team, led by Thomas Bloom, applied high-dimensional algebraic number theory to the sum-product conjecture, finding sets where both sums and products are smaller than Erdős predicted.
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Researchers at the University of Manchester have disproven a 50-year-old mathematical conjecture posed by Paul Erdős using techniques inspired by OpenAI's recent AI breakthrough. The team, led by Thomas Bloom, applied high-dimensional algebraic number theory to the sum-product conjecture, finding sets where both sums and products are smaller than Erdős predicted.