A threaded connection having a straight central axis, the connection including a plurality of pin threads, each pin thread having a root and a crest, and a box having a plurality of box threads, each box thread having a root and a crest. The crests of at least a portion of the box threads are curved so that when the pin threads are fully engaged with the box threads, there is a void between the roots of the pin threads and the corresponding curved crests of the box threads to reduce standoff caused by lubricant or other fluids becoming trapped between the threads as the connection is made up.