Text conversations with random numbers appearing on my iphone?

Howdy, I have the iPhone 5 on Verizon and today my phone randomly started vibrating off the chain. Naturally, I investigate and find that I have conversations with 2 numbers I do not have saved in my phone. They look like I'm the one sending the messages and the other is responding, however, I have had nothing to do with this. It's a full on conversation between "myself" and a number I do not know. I tried looking this up online but I couldn't find anything definite so I'm turning to you guys, the Yahoo Answers community. Please help me figure out what the heck is going on.

It's time to get a new phone my friend.

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