Suppose $f$ is a polynomial with integer coefficients, such that for all non-negative integers $n$ the $n$-th Fibonacci number $u_n$ divides $f(u_{n+1})$. Find the smallest possible positive value of $f(4)$.
Smallest possible value on Fibonacci Function
5
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number-theory
contest-math
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1The above question is posted as a Challenge problem on Brilliant.org, which offers weekly problem sets to test student's problem solving abilities. John Chang has been posting questions on math.stackexchange.com and expecting others to solve the problems for him. He has posted another one of our questions at http://math.stackexchange.com/questions/238677/determining-the-number-n -Calvin Lin Mathematics Challenge Master – 2012-12-29
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0This is a current problem at brilliant.org: http://brilliant.org/i/C4F9a6/. Moderators, please note. – 2012-12-29