Q: I just purchased an Iphone 5S. I tried to connect Bluettoth to my mini ipad cellular. It keeps saing on both that searching both nothing discoverable. Any help would be appreciated.

What are you trying to do with the connected devices? The iPhone offers very limited options for connecting to a computer (tethering or personal hotspot is about it) and that is the only one that I can think of that it might support for an iPad. Supported blutetooth profiles: http://support.apple.com/kb/HT3647

It doesn't support sending photos between the 2 devices via bluetooth. You can do it via Wi-Fi using Photostream http://support.apple.com/kb/HT4486

Another option (again using Wi-Fi) is a 3rd party app such as PhotoSync http://www.photosync-app.com

It is not discoverable because the iPad doesn't have any supported profile (see the link in my previous post for the supported profiles).

I just want to send photos from my mini Ipad to the Iphone 5S.

That can't be done without a specific app.  You could also use PhotoStream...

http://support.apple.com/kb/PH2596

http://support.apple.com/kb/PH2605

http://support.apple.com/kb/HT4486

You maybe able to use airdrop.

I know your 5S can, not sure what ipad mini you have but look at the link below

http://support.apple.com/kb/ht5887