Hi calibaby, I was thinking of stealing your desktop (mine's only 1.7G), but then I realised I wouldn't like the rest of the spec. You need more RAM, probably.
Just to compare with your laptop...
I just brought my (ancient) laptop out of standby - first time since Jan 19th 00:12:51. Straight up and running fine within a second or so (a couple more seconds as it established the ethernet link to this machine).
It's a Compaq Armada 4220T - 266MHz, 96Mb RAM, 4Gig HDD, running Linux/Debian/KDE with OpenOffice, Mozilla, KDevelop, PostGRES, Apache to name a few.
I think it's coming up to its tenth birthday. I looked on the Compaq site for it, and they still maintain info on it, which is nice of them. At that point, they also offered ...
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... which made me laugh!