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X is a prime number higher than the square of 5 and lower than the square of 7. What are the smallest and largest possible values for X?

The square of 5 is 25 and the square of 7 is 49. The prime numbers found between these 2 values are: 29, 31, 37, 41, 43 and 47. This means the smallest value fitting the criteria is 29 and the largest value will be 47.

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X is a prime number higher than the square of 5 and lower than the square of 7. What are the smallest and largest possible values for X?

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