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No. Consider 13 or 23.
No. 23 is not evenly divisible by four.
23 is not divisible by 7.
14
The prime number between 20 and 30 whose ones digit is 7 greater than its tens digit is 23. The tens digit is 2, and the ones digit is 3, which is 7 greater than 2. Additionally, 23 is a prime number because it is only divisible by 1 and itself, with no other factors.