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.
Sárközy,On divisibility properties of sequences of integers, 241–250, in The Mathematics of Paul Erdős I, R
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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.