IOS 7 Won't Show Up In My iPhone Settings?

I've tried syncing my iPhone 3gs to my computer, checked at least five times on my phone, but in software updates, it just says "IOS 6.1.3; Your iPhone is Up to Date".
Is it just not available for the iPhone 3gs, or if it is, how do I get the update to actually appear on my phone?

Sorry its not availible for 3GS. Only 4 and up.

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