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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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1999_02_01_chen_ruzsa: Chen and Ruzsa's 1999 paper proves Erdős's stronger conjecture that every infinite subseries of the sum of n over 2^n taken over squarefree n is irrational, which answers the question yes; refereed and curator-credited.

2026_09_28_ringer: Ringer's manuscript of 2026-09-27, written with two AI systems, claims that the sum of n over B^n taken over squarefree n is normal to base B for every B at least 2, which at B = 2 implies the irrationality asked; unreviewed.