A new von Mangoldt-weighted Markov chain technique bounds Erdős sums on primitive sets and proves conjectures #1196, #1217, #164 plus a revised Banks-Martin claim.
Lubell,A short proof of Sperner’s lemma, Journal of Combinatorial Theory1(1966), 299
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Primitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyond
A new von Mangoldt-weighted Markov chain technique bounds Erdős sums on primitive sets and proves conjectures #1196, #1217, #164 plus a revised Banks-Martin claim.