Whatisthesmallestpositiveintegerthatcanbewrittenintheform$2002m+44444n$,where$m$and$n$areintegers?
Hey cheater, the answer is 2002. You stole this from AoPs, ok?
since the answer has to be positive one of them is one so we have 2002*(1)+4444*(0)=2002 and so 2002 is the smallest.