A container for use with a closure is provided, and includes a receptacle, a neck extending therefrom, a closure-engaging thread segment arranged on the neck of the container to engage the closure thread segment arranged on the closure, and a plurality of spaced apart protrusions protruding radially toward the closure from the neck of the container, the plurality of spaced apart protrusions forming a protrusion pattern that has a composite orientation that is helically opposite that of the closure-engaging thread segment to engage and to separate the frangible tamper-evident band portion from the closure when the closure is rotated off of the neck. With this structure, the closure and container system provides an improved anti-backoff, tamper evident closure and container system that reduces torque used to initially apply the closure to the container and improves reliably by reducing stress on the component parts, while desirably preventing backoff from occurring.