Just a story I enjoyed...
When my real analysis professor was a graduate student, he had a Number Theory professor who made the homework sets available by leaving copies at local copy shops, where you would go and pay for them to make a copy of the problem set for you. One time, the week before an exam, the professor hadn't left any problem sets, so my now-professor and his pals typed up a page of unsolved problems in the field and left them for the other students.
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And man didn't he feel like a tool when his enemy in the cohort solved one of the problems and won a Fields Medal.
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