All prime knots through 10 crossings have superbridge index ≤ 5

This paper gives new upper bounds on the stick numbers of the knots 9(18), 10(18), 10(58), 10(66), 10(68), 10(80), 10(82), 10(84), 10(93), 10(100), and 10(152), as well as on the equilateral stick number of 10(79). These bounds imply that the knots 10(58), 10(66), and 10(80) have superbridge index <= 5, completing the project of showing that no prime knots through 10 crossings can have superbridge index larger than 5. The current best hounds on stick number and superbridge index for prime knots through 10 crossings are given in Appendix A.