Mathematics Atlas

How Proof Is Made
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Conjectures

Claims mathematicians believe are true, or take seriously as live possibilities, that have no accepted proof either way. Belongs here: open conjectures, grouped below by the branch of mathematics the claim belongs to. Does not belong here: settled results, filed as theorems once proved, or the open problems catalogued separately under Open Questions, which record a question's own history and status rather than a specific claim awaiting proof.

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