Is the 64-Bit version of Ubuntu only compatible with AMD CPUs?

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http://askubuntu.com – I was told that computers with more than 2 gig's memory need a 64 bit operating system to utilize all RAM. Is the 64bit Ubuntu download really JUST for AMD processors? I am asking because the disk image I downloaded says AMD64. So will my new Intel 2.3Ghz Core i3 Dual Core processor work with 64 bit Ubuntu? It runs the 64bit version of Windows without any qualm. (HowTos)