MathDB

N3

Part of 2012 IMO Shortlist

Problems(1)

IMO Shortlist 2012, Number Theory 3

Source: IMO Shortlist 2012, Number Theory 3

7/26/2013
Determine all integers m≥2m \geq 2 such that every nn with m3≤n≤m2\frac{m}{3} \leq n \leq \frac{m}{2} divides the binomial coefficient (nm−2n)\binom{n}{m-2n}.
number theoryprime numbersbinomial coefficientsIMO Shortlist