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Secondary 1 | Maths
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The number of interest is 29.
A prime number is a number which contains 1 and "itself" as the only factors of the number, where "itself" is a number greater than 1.
For n x (n + 28) to be a prime number, the lower number n has to be 1. This is to fit into the first factor for a prime number.
If n = 1, then n + 28 = 1 + 28 = 29.
This has to be a factor of the number, which is n (n + 28) = 1 (29) = 29
Just to be sure, we have to check that 29 is indeed a prime number. It is not divisible by 2, 3, 4, ... exactly. As such, yes the prime number is 29.
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Prime number = 29