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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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2025_09_10_tao: Assuming the qualitative Hardy-Littlewood prime tuples conjecture, the ratio of the all-pairs divisor-gap reciprocal sum to one plus the consecutive-gap sum is unbounded, from products of primes in a tight admissible tuple.
2026_03_27_larsen: The ratio of the all-pairs divisor-gap reciprocal sum to one plus the consecutive-gap sum is unbounded, by a multiscale version of Tao's prime construction; credited by the site's curator and formalized in Lean by others.
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