A few years ago my school physics teacher told us, his students, that there is an elegant physics problem in which all given numbers are unity, but the answer is $e$ in the power of $π$, that is,
where e = 2.718... is the base of the natural logarithm and π = 3.14... is pi, the constant commonly defined as the ratio of a circle's circumference to its diameter.
Fast forward to now, I am a university student studying something unrelated to physics, and I recently mentioned the above recollection of mine in a conversation with a physicist whom I had helped improve his English in his physics articles. Long story short, he highly doubts that such a physics problem exists. He believes that either I misunderstood my school teacher or the formulation of the problem is too lengthy or unnatural. But I clearly remember my teacher's words that the formulation of the problem is simple and that the solution is elegant. Unfortunately, I do not know what that problem is about. I tried googling, but did not get any lead.
What is that mysterious problem, or is there any physics problem matching the description above?