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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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Claims

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1975_01_01_stewart: Stewart's 1975 Acta Arithmetica paper proves that P(a^n-b^n)/n tends to infinity along the exponents n with at most kappa log log n distinct prime factors, for each kappa below 1/log 2; refereed.

2010_08_06_stewart: Stewart's 2013 Acta Mathematica theorem bounds the greatest prime factor of a^n-b^n below by n times a factor tending to infinity, so P(2^n-1)/n tends to infinity; refereed, and accepted by the site.