A threaded connection includes a pin member having an external wedge thread increasing in width in a first direction, a box member having an internal wedge thread increasing in width in a second direction so that complementary internal and external wedge threads move into engagement upon make-up of the connection, a box thread stop at an end of the internal wedge thread of the box member, and a pin thread stop at an end of the external wedge thread of the pin member, wherein the pin and box thread stops are configured to contact when the connection is fully engaged.