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#1 2005-11-20 04:19:27

Andybbbb
Guest

Proof Help

Q- Prove that when three consecutive even numbers are squared and the results are added, that the sum always has at least 3 divisors.

Thank you for your help.

#2 2005-11-20 18:03:54

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,711

Re: Proof Help

We are not worthy ... we are not worthy ... (assembled masses bowing down)

But it seems like cheating to include 1 and z smile


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#3 2005-11-20 18:52:18

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Proof Help

I did all that, but with p-2, p and p+2 for better cancellation.

I got it to 4(3p²+2) and then gave up because I forgot about the 1 and z bit, so I didn't post it.


Why did the vector cross the road?
It wanted to be normal.

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