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Thread: General number theory question

  1. October 22nd 2007, 04:38 PM #1
    clockingly
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    General number theory question

    I noticed that φ(n) is always even whenever n is greater than or equal to 3. Why is this?
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  2. October 22nd 2007, 05:17 PM #2
    ThePerfectHacker
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    Given any n \geq 3 we can write n=2^kp_1^{a_1}... now apply the weakly multiplication property of the phi function.
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