
Re: discrete structures
Posted:
Feb 24, 2008 5:41 PM


In article <m5q3s3dbq3ujhgjpa63mcbkictmhg7ht6j@4ax.com>, quasi <quasi@null.set> wrote: >On Sun, 24 Feb 2008 16:45:23 EST, Nichole <xnicole13x@aol.com> wrote: > >>(a) Let n and a be positive integers with gcd(a, n)=1. Prove that the equation a x?1(mod n) has a solution. >> (b) Solve 271 x ? 1 (mod 1003) >> (c) Solve 7008x ? 1(mod 7919) >> >>any ideas or thoughts?? > >For part (a), here's an outline ... > >(1) Define f: Z_n to Z_n by f(x) = a*x.
Geez, too much, and for all you know the poster does not even know what Z_n means. How about using what you suggest for (b) and (c), and then using (a) for (b) and (c)?
>For parts (b) and (c), read up on the Euclidean algorithm. Using the
 ====================================================================== "It's not denial. I'm just very selective about what I accept as reality."  Calvin ("Calvin and Hobbes" by Bill Watterson) ======================================================================
Arturo Magidin magidinatmemberamsorg

