Amazon.com Inc. has been talking with wireless carriers about offering low-cost or possibly free nationwide mobile phone service to Prime subscribers, according to people familiar with the situation.

The company is negotiating with Verizon Communications Inc., T-Mobile US Inc. and Dish Network Corp. to get the lowest possible wholesale prices. That would let it offer Prime members wireless plans for $10 a month or possibly for free and bolster loyalty among its biggest spending customers, the people said, who requested anonymity to discuss a private matter.

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