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$\begingroup$ I changed the constant to what I think is the correct value. Roth and Szekeres actually mainly discuss partition into distinct prime parts, and give the previously cited asymptotic, and only briefly discuss the other one and give a complicated expression. There is lots of discussion at oeis.org/search?q=A000607 which gives the asymptotic above, which is larger by a factor of $\sqrt{2}$ $\endgroup$

Sean Eberhard
– Sean Eberhard

2021-12-03 15:09:11 +00:00
Commented Dec 3, 2021 at 15:09

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