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On primitive sets of squarefree integers

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Let PN(resp. P*N) be the family of the primitive subsets of f{1, 2, ... N } (resp. the squarefree integers not exceeding N). We prove the following conjecture (even in a more general form) of Pomerance and Sárközy ... In a new direction we obtain surprisingly sharp estimates for ... As a common generalization we present conjectures about ...

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Ahlswede, R., Khachatrian, L. & Sárközy, A. On primitive sets of squarefree integers. Periodica Mathematica Hungarica 42, 99–115 (2001). https://doi.org/10.1023/A:1015200724657

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