1. What biary umber correspods to e, in the biary ↔ Ster-Brocot correspodece? (Express you’re aswer as a ifiite sum; you eed ot evaluate it i closed form.)
2. Usig oly the methods of this chapter, show that if Fermat's Last Theorem (4.46) were false, the least n for which it fails would have to be prime. (You may assume that (4.46) holds whe n = 4.) Furthermore, if ap + bp = cp is the smallest couterexample, show that
for some iteger m. Thus c mp/2 must be really huge.