Some positive integers have exactly four positive factors. For example, 35 has only 1, 5, 7 and 35 as its factors. What is the sum of the smallest five positive integers that each have exactly four positive factors?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Some positive integers have exactly four positive factors. For example, 35 has only 1, 5, 7 and 35 as its factors. What is the sum of the smallest five positive integers that each have exactly four positive factors?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
53
Some positive integers have exactly four positive factors. For example, 35 has only 1, 5, 7 and 35 as its factors. What is the sum of the smallest five positive integers that each have exactly four positive factors?
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