1. What is the smallest integer \(n\), greater than \(1\), such that n^(-1) (mod 130) and n^(-1) (mod 231) are both defined?
2. What is the unique three-digit positive integer \(x\) satisfying \(100x\equiv1 (mod 997) \)
2) 100x mod 997 = 1
100 x - 997 floor((100 x)/997) = 1
x = 668
+278 
