- #1
Hivoyer
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Homework Statement
I'm given this problem and I think I'm supposed to use the same or similar method to solve both of its parts:
a) Factor [tex] 2^{15} - 1 = 32,767 [/tex] into a product of two smaller positive integers.
b) Find an integer [tex] x [/tex] such that [tex] 1 < x < 2^{32767} - 1 [/tex] and [tex] 2^{32767} [/tex] is divisible by [tex] x [/tex].
Homework Equations
It is shown above the problem that:
[tex] x = 1 * 2 * 3 * 4 * ... * (n + 1) + 2 = 2 * (1 * 3 * 4 * ... *(n + 1) + 1 [/tex]
While I get that it's true, I don't quite see how I can apply the same to solving the problem.Can anyone give a hint?
The Attempt at a Solution
I tried "guessing", however with no success.
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