Results 1 to 3 of 3

Thread: Strange diophantine equation

  1. January 20th 2013, 03:13 AM #1
    wauwau
    wauwau is offline
    Newbie
    Joined
    Dec 2009
    Posts
    19

    Strange diophantine equation

    k,a,b,c,d be positive integers

    Solve the system of equations

    3^k-2=abcd

    2(3^{k-1}-1)=(a-1)(b-1)(c-1)(d-1)

    or prove that no solutions exist
    Follow Math Help Forum on Facebook and Google+
  2. January 20th 2013, 03:34 AM #2
    BobP
    BobP is online now
    Super Member
    Joined
    Jun 2009
    Posts
    511
    Thanks
    61

    Re: Strange diophantine equation

    Well, a=b=c=d=k=1 is a solution.
    Follow Math Help Forum on Facebook and Google+
  3. January 20th 2013, 03:52 AM #3
    wauwau
    wauwau is offline
    Newbie
    Joined
    Dec 2009
    Posts
    19

    Re: Strange diophantine equation

    Any other solutions beside the trivial one?
    Follow Math Help Forum on Facebook and Google+
« Looking for basic self-study direction | euler trail - please check my work »

Similar Math Help Forum Discussions

  1. Diophantine equation
    Posted in the Number Theory Forum
    Replies: 7
    Last Post: January 16th 2011, 01:06 PM
  2. [SOLVED] diophantine equation
    Posted in the Number Theory Forum
    Replies: 0
    Last Post: January 11th 2011, 06:26 PM
  3. Diophantine equation
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: July 7th 2010, 06:18 AM
  4. Diophantine Equation
    Posted in the Number Theory Forum
    Replies: 0
    Last Post: December 13th 2009, 01:16 PM
  5. diophantine equation
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: June 3rd 2009, 05:08 AM

Search Tags


/mathhelpforum @mathhelpforum