Claims

../

2025_03_04_kamio: Kamio's Theorem 8: for every unit fraction, any nondecreasing integer sequence other than the generalized Sylvester sequence with that reciprocal sum has a smaller doubly exponential growth constant; credited by the site.

2025_03_15_li_tang: Li and Tang's Corollary 1.7: every strictly increasing integer sequence other than Sylvester's with reciprocal sum one has liminf of the nth term to the power one over two to the n below the Vardi constant; site-credited.

2026_07_30_kovac_tang: Kovač and Tang's Corollary 3 and Theorem 4: for every positive rational the eventually greedy sequence of best underapproximations has the largest doubly exponential growth among series with denominators at least 2; at one this re-derives the statement.

---