IPhone 5S contacts keep disappearing?

I just got a brand new iphone 5S yesterday and for some reason I can only have one contact. Every time I add another contact the one before it disappears. Why is this happening, how can I fix it, and is anyone else having this problem?

I was having the same issue you have to go into your settings and go to mail, contacts. Once in there scroll down to contacts and see what you have as your default account. I had to switch mine to iCloud in order for my contacts to stay on my phone. Hope this helps

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