Background: Consider the integers R-n+1, R-n+2, R-n+3, ..., R. How many of these integers are prime? Assume that R is at most n^(2+o(1)). The standard algorithm to answer this question costs n^(2+o(1)) dollars: it takes time n^(1+o(1)) on a general-purpose computer with n^(1+o(1)) bits of memory. Problem: Explain how to answer the same question for n^(1.5+o(1)) dollars, using Schimmler sorting. (There are several ways to reduce the cost even further. Some of these ways may be covered later in the course.)