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 Oct 11 comment When does $a + b$ divide $a^p + b^p$? If the gcd of a and b is not 1 or p, then the statement is obviously wrong. Oct 11 answered Why does $a^n - b^n$ never divide $a^n + b^n$? Oct 11 answered When does $a + b$ divide $a^p + b^p$? Oct 11 comment Mathematical explanation behind a picture posted (lifted from facebook) I think that this would make a fine question for the proposal area51.stackexchange.com/proposals/4955/popular-natural-science so I invite you to support the proposal. Oct 11 comment How to solve such an equation ? (Line-Plane Intersection) What do you mean with "solve"? Do you want to calculate $t$? Do you know the relation between the V and the x, y, z? Oct 10 comment How to compute the limit of this integral? For large n and x smaller than 1- epsilon, $x^n$ is small, for small argument, the function is near $f(0)$. Oct 10 comment Simplifying a series It is a geometric series. Oct 10 answered How to compute the limit of this integral? Oct 10 comment What's the lower bound of the sum $S(n) = \sum_{k=1}^n \prod_{j=1}^k(1-\frac j n)$? Is $i=k$ ? (not enough characters) Oct 10 comment Marble game theory @Brian M.Scott Note that the IMO problem has two parts. The first part is about emptying just one of the three accounts which is exactly equivalent to making two accounts the same size. Oct 9 comment Marble game theory Positive is also not always advisable as there are languages/countries where 0 is positive and negative. Oct 9 revised Marble game theory added 411 characters in body Oct 9 answered Easy system in five equations Oct 9 answered Marble game theory Oct 8 awarded Benefactor Oct 8 answered Eulerian path - disconnected graph Oct 8 awarded Vox Populi Oct 8 comment Proving the number of permutations $A,B\;$ with $n+1$ total cycles and $AB=(123\cdots n)$ is $C_n$ And what is the second set? Oct 8 comment Proving the number of permutations $A,B\;$ with $n+1$ total cycles and $AB=(123\cdots n)$ is $C_n$ How do you define "combinatorial proof"? Oct 8 answered Having problem in finding values of variables