2, 3, 5, 7, 11, 13, and 17 are not factors of n = 2 · 3 · 5 · 7 · 11 · 13 · 17 + 1 because 1 is added to the product of the factors
How to determine the factors?
The product is given as:
n = 2 · 3 · 5 · 7 · 11 · 13 · 17 + 1
Let 2 · 3 · 5 · 7 · 11 · 13 · 17 be represented by x.
So, we have:
n = x + 1
Given the above equation.
The factors of x cannot be the factors of n
This is so because of the 1 that is added to x to given n
Hence, 2, 3, 5, 7, 11, 13, and 17 are not factors of n = 2 · 3 · 5 · 7 · 11 · 13 · 17 + 1 because 1 is added to the product of the factors
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