H(k)^{1/k}/k = Ω(k/log k) as k→∞, resolving the positive direction of Erdős-Graham problem #190.
28 de L’Enseignement Mathématique, Université de Genève
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A resolution of Erd\H{o}s Problem #190 via Erd\H{o}s-Lov\'asz, BCT, and Baker-Harman-Pintz
H(k)^{1/k}/k = Ω(k/log k) as k→∞, resolving the positive direction of Erdős-Graham problem #190.