{
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  "problem_id": "vibemathed:erdos-768-sylow-divisor-condition",
  "title": "Erdos Problem #768",
  "canonical_statement": "Let $A(x)$ count $n \\le x$ such that every prime $p \\mid n$ has a divisor $d > 1$ of $n$ with $d \\equiv 1 \\pmod p$. Erdos asked whether $A(x)/x = \\exp(-(c+o(1))\\sqrt{\\log x}\\log\\log x)$. It does, with $c = 1/(2\\sqrt{\\log 2})$.",
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      "title": "arXiv:2606.24872 - A Resolution of Erdos Problem 768: the Sylow Divisor Condition",
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