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1. Find least number n>17 such that \(n^2\) divides \(18^n - 1\).2. Find least number n>19 such that \(n^2\) divides \(20^n - 1\).3. Find least number n>12 such that \(11^n - 2\) is a prime.4. Find least number n>24 such that \(23^n - 2\) is a prime.
1. Find least number n>17 such that \(n^2\) divides \(18^n - 1\).
2. Find least number n>19 such that \(n^2\) divides \(20^n - 1\).
3. Find least number n>12 such that \(11^n - 2\) is a prime.
4. Find least number n>24 such that \(23^n - 2\) is a prime.
