The figures above show a hexagonal nut that has a width of $$1\frac{5}{16}$$ inches and a wrench that, in order to fit the nut,must have a width of at least $$1\frac{5}{16}$$ inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?
(Note: 1 inch = 25.4 millimeters)