Find the sum of the primes between 100 and 200, inclusive, that are 1 or 2 more than a perfect square.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the sum of the primes between 100 and 200, inclusive, that are 1 or 2 more than a perfect square.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
298
Find the sum of the primes between 100 and 200, inclusive, that are 1 or 2 more than a perfect square.
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