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Prime Division HELP

by PennState666
Tags: division, prime
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Nov2-11, 09:08 AM
P: 18
1. The problem statement, all variables and given/known data

I need to be able to understand and likely prove that for any positive odd integer n,
8 | (n^2 -1 )

2. Relevant equations

3. The attempt at a solution
odd can be said to be n = 2k +1
so 8 | (2k + 1)^2 -1
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Nov2-11, 09:14 AM
P: 2,179
Keep going. Now expand out (2k+1)^2 - 1 and collect terms. Then think about the terms in k and k+1.
Nov2-11, 09:22 AM
P: 18
I got stumped trying mathematical induction i was hoping for a new approach

Nov2-11, 09:56 AM
P: 21,280
Prime Division HELP

Try the approach that phyzguy is suggesting.

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