That number is called IP adress. If that's what you mean.
If it is, then it won't make a difference wether you have a new or an old IP adress. LW doesn't take them into consideration much. I mean, some people even have dynamic IP adresses (IPs that change every now and then).

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iMac G4 OSX 10.3.9
RAM 256MB
LW 4.10.5 Basic
ADSL anything from 3 to 8Mbps/around 1024kbps

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