A positive integer is said to be a prime number if it is not divisible by any positive integer other than itself and 1. Let p be a prime number greater than 5. Then (p2 – 1) is
Explanation:
As each prime number greater than or equal 3 is of from 6k ± 1, here k is a natural number, p = 6k ± 1.
p2 - 1 = (6k ± 1)2 - 1 = 12k(3k ± 1)
Since k(3k ± 1) is an even number, above number is always divisible by 24 irrespective of value of k.
Hence, option (d).
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