free pdf fermats last theorem of robotics uploaded by john grisham in number theory fermats last theorem sometimes called fermats conjecture especially in older texts states that no three positive integers a b and c satisfy the equation a n b n c n for any integer value of n greater than 2 the cases n 1 and n 2 have been known since antiquity to have infinitely many solutions the . In number theory fermats last theorem sometimes called fermats conjecture especially in older texts states that no three positive integers a b and c satisfy the equation an bn cn for any integer value of n greater than 2 the cases n 1 and n 2 have been known since antiquity to have infinitely many solutions. Fermats last theorem is intimately tied to deep questions on class numbers of cyclotomic fields which are still an active subject of research kummers approach relied on the factorization x yx yx 1 y z of fermats equation over the ring z generated by the th roots of unity one observes that the greatest common divisor of any two factors . Fermats last theorem also called fermats great theorem the statement that there are no natural numbers 1 2 3 x y and z such that xn yn zn in which n is a natural number greater than 2