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You will need Red, and then you will need Red+Green, And then you will need Red+Green+Blue, And then you'll need Red+Green+Blue+.... Any military stuff will use military science packs in addition to red/green/blue/etc depending on the tier.
There's never a point where you'll need Green but not Red, Or a point where you need Blue without also needing green And red. So just count the science packs; 3 science packs, you need red+green+blue, or red+green+grey(military). If it only requires 1 science pack, the prereq is red, if it requires 2, it's a red+green research, and so on.
Edit: Oh, They're also always displayed in a specific order when present and required for the research,
Red->green->grey->blue->purple->yellow->space
You'll never see purple before green, or green before red, or anything like that.