///////////////////////////////////////////////////////////////////////////////////// ------------------------ A math problem ------------------------ \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ Hi, you can contemplate a math problem that took me a week to solve (I tried to prove n exists but in the end it doesn't... quite sad) I made this little project to share it with all of you... My first proof was using factorial... way too complicate for nothing... but still worked I used the math symbols engine I made and it looks cool I think... The problem I suggest to you is to find the smallest natural number m such that for a given n, m^m is congrant to -1 mod n (in the project i prove that such m always exist and that it is between [1, 2n-1] if n is odd and [1, n-1] if n is even) Credits: # @-Rex- for the amazing text engine # everything else by me... [well... don't mind this] #math #problem #arithmetic #latex #sum #product #integral #sqrt #tutoriel
