The number of students in a class is a prime number greater than 50 but less than 58. How many students are there in the class?
53
The numbers greater than 50 but less than 58 are 51, 52, 53, 54, 55, 56 and 57.
51 = 3 × 17, 52 = 2 × 26, 54 = 2 × 27, 55 = 5 × 11, 56 = 2 × 28 and 57 = 3 × 19 are all composite.
53 has no factor other than 1 and itself, so 53 is the only prime number in this range.
Hence, the answer is 53.
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