Results 1 to 1 of 1

Math Help - What is this modular arithmetic question asking exactly?

  1. #1
    Member
    Joined
    Jul 2011
    Posts
    196

    What is this modular arithmetic question asking exactly?

    I just completed the first two parts of a question and am not sure how to use my answers in part c).

    a) Write down an integer r which is divisible by 2611 and is congruent to 1 modulo 324

    r = 2611(-17) \equiv 1~mod~324


    b) Write down an insteger s which is divisble by 324 and is congruent to 1 modulo 2611

    s = 324(137) \equiv 1~mod~2611


    c) Consider the function f : \mathbb{Z}_{845964}\rightarrow \mathbb{Z}_{2611}\times\mathbb{Z}_{324} given by:

    f(x~mod~845964)=(x~mod~2611,x~mod~324)

    Compute the value of f(ar+bs)

    d)Deduce that f is onto.

    Is it perhaps notation that I don't understand that is asking me to find an integer x that satisfies both congruence equations?
    Last edited by terrorsquid; November 11th 2011 at 09:17 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Modular arithmetic
    Posted in the Number Theory Forum
    Replies: 9
    Last Post: May 6th 2011, 02:14 AM
  2. Modular Arithmetic- Quick question
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: April 30th 2011, 05:12 PM
  3. A question on modular arithmetic
    Posted in the Number Theory Forum
    Replies: 6
    Last Post: November 19th 2010, 04:25 AM
  4. Quick question on graphs and modular arithmetic
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: March 25th 2010, 06:36 PM
  5. Modular arithmetic
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: February 28th 2010, 10:45 AM

Search Tags


/mathhelpforum @mathhelpforum