A closure includes a polymeric top wall portion, a polymeric annular skirt portion, and a polymeric tamper-evident band. The polymeric annular skirt portion depends from the polymeric top wall portion. The annular skirt portion includes an internal thread formation for mating engagement with an external thread formation of a container, and first and second false threads. The internal thread formation includes a first closure lead and a second closure lead. Each of the first and second closure leads is in the form of a helix. Each of the false threads is located on roughly opposing sides of the closure. The first false thread assists in maintaining the contact between the first closure lead and a first finish lead of the container. The second false thread assists in maintaining the contact between the second closure lead and a second finish lead of the container. The polymeric tamper-evident band depends from and is at least partially detachably connected to the polymeric annular skirt portion by a frangible connection.