How to get Minecraft PC on a different computer if I already bought premium on another computer?

I had a MacBook Pro, and I used this Mac to go to www.minecraft.net to buy Minecraft. I followed all of the steps to get a real, NOT CRACKED premium account. After this, I downloaded Minecraft onto the computer. I played there on the Mac happily, with absolutely no issues. But 2 weeks later, I received my very own Acer Windows Computer. So, this is the computer I would play Minecraft on. So, I went back to minecraft.net, and I tried first to download the Minecraft Launcher 1.7.5. When I opened it, it said I needed Java to get it. I tried clicking "Already bought the game? Download it here", I opened it, said I needed Java. So, it brought me to the Java page to download Java. It is Java Version 7, which I believe is the latest version. So I tried downloading it, but it says, "Error: Can't download this version of Java" and something like that. What can I do? I really want to get Minecraft on my own computer! Is there any mirroring programs to help mirror Java? Do you have any links to download previous and earlier versions of Java? Please help, I really want to get playing! Any ideas?

Just log in on the new computer and download the launcher from the website. Minecraft isn't IP address bound as long as you can log in you can play. So simply go to the downloads page, download the launcher, open it, log in, and let the fun begin.

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