Lol do not buy an intel hd laptop, the 3 and 4000 series can run skyrim on med but not enjoyably. I have a samsung 305V5a A6-3410MX Quadcore @ 1.8ghz, APU with AMD radeon 6520G so its shares memory. The faster the speed of the memory and amount the smoother your games will run i have 8gb of 10600 DDR3.
i got my laptop for £200 where i work, laptops company but on ebay new they arre £279-300