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Topic: a problem in elementary number theory
Replies: 24   Last Post: Nov 2, 2007 8:47 PM

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Jon Haugsand

Posts: 344
Registered: 12/6/04
Re: a problem in elementary number theory
Posted: Oct 30, 2007 5:30 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

* dmitry.sustretov@gmail.com
> Hello,
>
> I am stuck solving this problem from GRE Math training booklet:
>
> Find the maximal integer x such that x divides p^4-1 for all prime
> numbers p > 5.
>
> [they actually have a list to choose from: 12, 30, 48, 120, 240]
>
> Do you have any ideas?


p^4-1 = (p^2+1)(p+1)(p-1)


--
Jon Haugsand
Dept. of Informatics, Univ. of Oslo, Norway, mailto:jonhaug@ifi.uio.no
http://www.ifi.uio.no/~jonhaug/, Phone: +47 45 00 39 94


Date Subject Author
10/30/07
Read a problem in elementary number theory
dmitry.sustretov@gmail.com
10/30/07
Read Re: a problem in elementary number theory
Jon Haugsand
10/30/07
Read Re: a problem in elementary number theory
Kira Yamato
10/31/07
Read Re: a problem in elementary number theory
dmitry.sustretov@gmail.com
10/31/07
Read Re: a problem in elementary number theory
Kira Yamato
10/31/07
Read Re: a problem in elementary number theory
Phil H
10/31/07
Read Re: a problem in elementary number theory
Kira Yamato
11/1/07
Read Re: a problem in elementary number theory
Bill Dubuque
10/30/07
Read Re: a problem in elementary number theory
Yo!
10/30/07
Read Re: a problem in elementary number theory
tommy1729
10/30/07
Read Re: a problem in elementary number theory
Kira Yamato
10/31/07
Read Re: a problem in elementary number theory
dmitry.sustretov@gmail.com
10/31/07
Read Re: a problem in elementary number theory
Kira Yamato
10/31/07
Read Re: a problem in elementary number theory
Kira Yamato
10/31/07
Read Re: a problem in elementary number theory
Rainer Rosenthal
10/31/07
Read Re: a problem in elementary number theory
Kira Yamato
10/31/07
Read Re: a problem in elementary number theory
quasi
10/31/07
Read Re: a problem in elementary number theory
Phil H
10/31/07
Read Re: a problem in elementary number theory
Rainer Rosenthal
10/31/07
Read Re: a problem in elementary number theory
quasi
11/2/07
Read Re: a problem in elementary number theory
Phil H
11/2/07
Read Re: a problem in elementary number theory
quasi
11/2/07
Read Re: a problem in elementary number theory
dmitry.sustretov@gmail.com
11/2/07
Read Re: a problem in elementary number theory
dmitry.sustretov@gmail.com
10/31/07
Read Re: a problem in elementary number theory
Michael Press

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