feat(ErdosProblems/888): record 2026 order-of-growth solution#4380
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Sanexxxx777 wants to merge 1 commit into
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feat(ErdosProblems/888): record 2026 order-of-growth solution#4380Sanexxxx777 wants to merge 1 commit into
Sanexxxx777 wants to merge 1 commit into
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👋 This is an automated welcome message. 🤖 A few friendly reminders while the review gets started:
Thanks again for helping improve Formal Conjectures. |
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Looks like I may have beaten you to the punch, this is a duplicate of #4376 |
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You're right — #4376 covers this and more (the status change matches the site's SOLVED marker, plus the category-count fix in FC100OpenSet1). Closing in favour of yours. Thanks for pointing it out! |
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erdosproblems.com/888 now marks the problem SOLVED: the order of growth of the extremal set is$\Theta(n \log\log n / \log n)$ — the semiprimes (noted by Cambie and Weisenberg) give the sharp lower bound, and a matching upper bound $f(n) \ll n \log\log n/\log n$ was proved by GPT-5.5 Pro (prompted by Chojecki). This records both sharp bounds as
research solvedvariants and updates the module docstring.The main theorem
erdos_888asks for the exact value ofNat.findGreatest, which is only known up to constants, so it staysresearch open— happy to adjust if the maintainers prefer a different treatment.Closes #4099