You're pretty loosey goosey here. Anything with a good amount of CPU power (I'd say 2.5GHz or better) and 3 or 4 GB of ram will do.
A laptop can be left on 24/7, but its life will be significantly shortened, and you will have to set it up in a way to induce better cooling currents - an air conditioned room, the notebooks standing straight upward, maybe even modding the intakes.
Laptops are not designed to be left on 24/7, though, and I think you'll find yourself having trouble with it 1-2 years down the road. In your case, I think it's a lot better for you to buy a desktop. They generally have far more CPU power and RAM for your money. I know it's not portable, but it can be pretty movable if you set it up so a monitor, keyboard, and mouse is not needed. Just set it somewhere, plug in power and LAN, and let it run automatically. You can control it with remote software like VNC.
Well, for that, then, you want the lesser CPU you can get. . . in fact, if you don't mind older or even used, targeting something along the lines of ThinkPad X3* or T4* (maybe even X4*) or Dell Latitude D600 / D610 due to the gigabit LAN.
ok, i made up my mind.
i am going for a laptop, but i will turn it off at night.
what i want to do with it : hosting game-servers (cod4,vegas)
and sometimes i want to connect it to the lcd-tv in the living room to watch movies.
budget : around 525 euro
size : 17 inch or 15 inch when no 17 inch is affordable for around 525 euro
screen resolution : 1440x900 or 1280x800 when no 1440x900 is affordable for around 525 euro
portable or desktop replacement : portable
how much battery : at least for 4 hours or so
playing games : maybe old games like rainbow six raven shield and the first ghost recon(year 2001) only hosting a game
other tasks : little surfing, watching movie
hdd capacity : 60 gb is enough, more is welcome when affordable for 525 euro
specific sites to buy from : no
how long to keep laptop : 3 to 4 years
mention other things : fast enough to host games like cod4 for 14 people
preferred brands : toshiba, asus, acer
disliked brands : anyone who's making bad products ; ).
country i live : netherlands (holland)
thank you for helping : )
ps. could someone tell my how the following cpu's perform from best to worse please :