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Odd composite property1

by yourskadhir
Tags: composite, property1
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yourskadhir
#1
Jan14-13, 09:01 PM
P: 2
Hi,

For any odd composite 'N', let u = (N-1)/2, v = u+1, then u^2(mod p) = v^2(mod p) if and only if 'p' is a factor of 'N'.

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dodo
#2
Jan16-13, 02:49 AM
P: 688
Hi, Kadhirvel,
it's a bit of a trivial property, isn't it? You are saying that 2u+1 ≡ 0 (mod p), after you cancel u^2 from both sides. But 2u+1 was the same as N from the beginning.


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