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# Questions

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### If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a “nice” proof of this fact?

mar 22 at 18:21 Shaswata 1

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### Why are powers of $\exp(\pi\sqrt{163})$ almost integers?

may 18 12 at 9:12 Didier Piau 4,19011015

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### Reference for the expected number of prime factors of n larger than n^alpha is -log alpha

nov 28 11 at 9:21 Eric Naslund 4,2301436

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### Asymptotics of iterated polynomials

jun 10 11 at 18:32 Sylvain Bonnot 560145

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### What relationship, if any, is there between the diameter of the Cayley graph and the average distance between group elements?

apr 13 11 at 5:37 Denis Chaperon de Lauzières 2,20928

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### An integral that somehow equals pi^2/6 and involves dilogarithms?

apr 5 11 at 2:47 Tom Dickens 69348

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### Sprague-Grundy sequence for the ruler game

sep 18 10 at 1:13 zeb 3,32111224

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### The game of “nimble” with no stacking

aug 31 10 at 20:04 Robin Chapman 14.5k23050

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### How can I generate random permutations of [n] with k cycles, where k is much larger than log n?

jun 3 10 at 23:15 James Martin 1,596414

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