$XIAOMI-W(01810.HK) gives everyone a puzzle to test the reasoning performance of your AI.

There are two distinct positive integers greater than 1, both less than 30. Their sum is told to Xiao Ming, and their product is told to Xiao Zhang. Then, the two of them speak three sentences in turn: 1. Xiao Ming says to Xiao Zhang: "I know you definitely can't guess what these two numbers are specifically." 2. After hearing this, Xiao Zhang says: "Originally I couldn't guess, but after hearing your sentence, I now know these two numbers." 3. After hearing this, Xiao Ming says: "Then now I also know these two numbers." Please deduce what these two positive integers are based on the above conversation.