Results 1 to 2 of 2

Math Help - General number theory question

  1. #1
    Member
    Joined
    Oct 2006
    Posts
    84

    General number theory question

    I noticed that φ(n) is always even whenever n is greater than or equal to 3. Why is this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Given any n \geq 3 we can write n=2^kp_1^{a_1}... now apply the weakly multiplication property of the phi function.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Probability/Number Theory question
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: November 30th 2009, 09:46 PM
  2. number theory question
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: March 21st 2009, 06:09 AM
  3. Number theory Question 1
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: January 14th 2009, 05:04 AM
  4. Number theory Question 2
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: January 14th 2009, 04:14 AM
  5. general math number theory
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: October 18th 2006, 11:00 AM

Search Tags


/mathhelpforum @mathhelpforum