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math.NT2026★ 1 cited
Primitive sets and von Mangoldt chains: Erdős Problem #1196 and beyond
Boris Alexeev, Kevin Barreto, Yanyang Li +5
A set of integers is primitive if no number in the set divides another. We introduce a new method for bounding Erdős sums of primitive sets, suggested from output of GPT-5.4 Pro, b…
math.NT2026
Irrationality of rapidly converging series: a problem of Erdős and Graham
Kevin Barreto, Jiwon Kang, Sang-hyun Kim +2
Answering a question of Erdős and Graham, we show that the double exponential growth condition for a strictly increasing sequence of positi…