There is at least one cathegory of people who always respond nicely to the statement that I am a mathematician. I live in UK but don't have a UK passeport so every time I come back here it is necessary to fill a security form on the border. In particular you need to write your profession and I write that I am mathematician. Security officers are always very curious when they read this and usually quite happy. Some of them would ask you to solve a problem, for example to prove that exp(i*pi)=-1. Others would give a matheamatical puzzle trying to cheat you. I advise you to try this once :)
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