<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 A natural number \( n \) has its smallest divisor \( a \) (different from 1) and the next larger divisor \( b \). It is found that \( n = a^{a} + b^{b} \). Find \( n \). Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
260
A natural number \( n \) has its smallest divisor \( a \) (different from 1) and the next larger divisor \( b \). It is found that \( n = a^{a} + b^{b} \). Find \( n \).
test