211, since 201 and 207 is divisible by 3, 205 is divisible by 5, and 203 is divisble by 7, and 209 is divisible by 11. You can also use a complex algorithm of Ppi(200)+1, which gets 211 as well.
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1009 is the smallest prime number greater than 1000.
23 is the smallest prime number greater than 20.
The smallest prime number greater than 200 is 211.
The smallest prime number greater than 30 is 31. A prime number is a number greater than 1 that can only be divided by itself and 1 without leaving a remainder. In this case, 31 is indivisible by any other number besides 1 and itself, making it the smallest prime number greater than 30.
The smallest prime number that is greater than 50 is 53.