a positive number is that to be prime number if it is not divisible by any positive integer other than itself and one let p be a prime number greater than 5 then p square minus one is

Question

Answer 1

the answer depends on the options, but I'm thinking the answer will be "divisible by 12"

Any prime p can be written as 6n-1 or 6n+1

Case 1: 6p+1
(6p+1)^2 - 1^2
=(6p+2)(6p)
= 12(3p+1)(p)

likewise, (6p-1)^2 - 1 = 12(3p-1)(p)

Both of these are divisble by 12

Answer 2

the answer depends on the options, but I'm thinking the answer will be "divisible by 12"

Any prime p can be written as 6n-1 or 6n+1

Case 1: 6p+1
(6p+1)^2 - 1^2
=(6p+2)(6p)
= 12(3p+1)(p)

likewise, (6p-1)^2 - 1 = 12(3p-1)(p)

Both of these are divisble by 12

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a positive number is that to be prime number if it is not divisible by any positive integer other than itself and one let p be a prime number greater than 5 then p square minus one is