Re: MultiplicativeOrder[k,n] ?

• To: mathgroup at smc.vnet.net
• Subject: [mg18448] Re: [mg18373] MultiplicativeOrder[k,n] ?
• From: BobHanlon at aol.com
• Date: Wed, 7 Jul 1999 00:11:33 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```In a message dated 6/30/99 9:55:47 PM, piovere at flash.net writes:

>I am trying to figure out what MultiplicativeOrder[k,n] is. The book
>says this function gives the smallest integer m such that k^m = (3
>lines as if this is a definition) 1 mod n.  I understand what Mod[k,n]
>means but I dont' understand what "1 mod n" means.  Could someone
>please help me - I've found nothing in the math books on the subject.
>

k^m  \[Congruent] 1 mod n

means

Mod[k^m, n] == 1

is True.

MultiplicativeOrder[k, n]  returns the smallest value of m for which the
above is True.

To understand the use of MultiplicativeOrder better, see the "Further
Examples" for MultiplicativeOrder.

Bob Hanlon

```

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