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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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2026_01_10_barreto_price: For every C there is a K such that infinitely many triples with a plus b above n plus C log n have n! over a! b! with a K-smooth denominator; an argument of GPT-5.2 Pro formalized by Aristotle, adapting the proof of 728.