The William Lowell Putnam Mathematical Competition (see https://www.maa.org/math-competitions/putnam-competition for more details), commonly known as 'The Putnam', is a famously difficult mathematics competition taking place in the United States and Canada on Dec. 7 of this year. The median score on the Putnam is typically a 0 or 1 out of 120. The contest has two parts, each consisting of 6 questions worth 10 points each.
Seeing as the competition is coming up, I thought it might be interesting to have a little discussion about it. What sort of tips and tricks do people like to employ on the Putnam (or other, similar contests I suppose)? What sort of strategies do people use for an approach; what are some unconventional theorems or lemmas that people have employed effectively? Does anyone have any particular favourite questions from past years, or stories about themselves writing the Putnam that they'd like to share? Let's chat!
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