As of today's revision of Wikipedia's "List of notable numbers", the smallest non-notable integer is 261 https://en.wikipedia.org/w/index.php?title=List_of_notable_numbers&oldid=753706219 …
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Notably, 261's minimal non-notability does not make it notable. I don't see it on the page. Do you?
This demonstrates a cut-and-dried, internally-consistent, non-paradoxical mechanism for testing an integer for notability: Ctrl+F
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If your definition of "interestingness" can include things which are interesting due to being uninteresting, your definition might be STUPID
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"Interesting number paradox" is annoyingly listed on "see also" for Bertrand Russell's set theory paradoxes. Undeserved credbility.
End of conversation
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