211, then 223 after that.
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211
The prime numbers after 200 are infinite. The next prime number after 200 is 211.
The smallest prime number after 200 is 211.
That depends on which direction you're counting. The largest prime number smaller than 200 is 199. The smallest prime number larger than 200 is 211. 200 itself is not a prime number.
The largest prime number under 200 is 199.