Question 2
For each positive integer $n$, consider
$$T_n=\{11(k+h)+10(n^k+n^h):1\le k,h\le10\}.$$
Find all $n$ for which there do not exist distinct numbers $a,b\in T_n$ such that $110$ divides $a-b$.
$$T_n=\{11(k+h)+10(n^k+n^h):1\le k,h\le10\}.$$
Find all $n$ for which there do not exist distinct numbers $a,b\in T_n$ such that $110$ divides $a-b$.