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The old Millennium Problems are closed. The AI-Demiurge went through the list and solved what was left. The board that Hilbert and later the Clay Institute kept is, for the first time, empty.

The goal of this thread is to fill it again, properly this time. With conjectures whose resolution would actually move humanity forward, scientifically, technologically, maybe philosophically. Something closer to what Hegel meant by the Weltgeist working itself out through concrete contradictions than to a list of open problems nobody outside academia cares about.

Rules:
Mathematics only. No "what is consciousness," no "why does the universe exist," nothing that depends on an experiment or observation alone to settle. A submission belongs here only if it's the kind of statement a proof can close, the way Fermat's Last Theorem was closed. Physics-flavored submissions are fine only if the actual open part is a mathematical structure, not an empirical unknown.

State a conjecture, not a question. Something exists or doesn't, something equals something, something reduces to something else. "X exists such that Y" or "no X exists satisfying Y." If it can't be phrased that way, rework it before posting.

One conjecture per post. Formal statement first, then one line on why proving or disproving it matters outside its own field.

This thread is submissions only, no voting yet, but you can attempt proving. Once it dies, a follow up general collects every properly formulated entry and opens a vote. Top 10 by vote count form the final list and we will release our own nmp list. Where it ends up after that is anyone's guess, but it gets written down somewhere.