What is the smallest prime divisor of $5^{23} + 7^{17}$?
<|im_start|>system
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<|im_start|>user
What is the smallest prime divisor of $5^{23} + 7^{17}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
What is the smallest prime divisor of $5^{23} + 7^{17}$?
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