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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_05_04_turturean: A manuscript posted to the thread proves that the least prime 1 mod n equals the least m with n | phi(m) on a set of positive lower density, answering the first two questions no; pending.

2026_09_23_turturean: A forum claim asserts that the least prime 1 mod n equals the least m with n | phi(m) on a set of positive lower density, refuting the first two questions, and that uniqueness primes number >> X/(log X)^55; pending.