Given a positive integer n≥2, we define f(n) to be the sum of all remainders obtained by dividing n by all positive integers less than n. For example dividing 5 with 1,2,3 and 4 we have remainders equal to 0,1,2 and 1 respectively. Therefore f(5)=0+1+2+1=4. Find all positive integers n≥3 such that f(n)=f(n−1)+(n−2). JuniorBalkanshortlist2021number theorymodulo