What is the smallest positive integer n that has the following characteristics?
1 n mod 2 = 0, n mod 3 = 0, and n mod 5 = 0
2. n mod 2 = 1, n mod 3 = 1, and n mod 5 = 1
3. n mod 2 = 0, n mod 3 = 1, and n mod 5 = 0
4. n mod 3 = 2, n mod 5 = 3, and n mod 7 = 5
5. n mod 2 = 1, n mod 3 = 2, n mod 5 = 3, and n mod 7 = 4
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