Results 1 to 3 of 3
Like Tree2Thanks
  • 1 Post By ibdutt
  • 1 Post By HallsofIvy

Math Help - division by 1919190

  1. #1
    Member
    Joined
    Feb 2010
    Posts
    86

    division by 1919190

    How to prove that n37-n is divisible by 1919190 for all positive integers n.

    Please help
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    826
    Thanks
    209
    Thanks from Suvadip
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,326
    Thanks
    1298

    Re: division by 1919190

    Quote Originally Posted by Suvadip View Post
    How to prove that n37-n is divisible by 1919190 for all positive integers n.

    Please help
    My first thought is that 1919190= 1900000+ 19000+ 190= 19(10^5)+ 19(10^3+ 19(10). n[sup[37[/sup]- n= n(n[sup]36[/sup[]- 1)= n(n18- 1)(n18+ 1).
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. division
    Posted in the Algebra Forum
    Replies: 9
    Last Post: January 9th 2012, 11:08 AM
  2. Polynomial division vs synthetic division
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 9th 2009, 05:49 AM
  3. division
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 13th 2009, 08:08 AM
  4. Division
    Posted in the Number Theory Forum
    Replies: 6
    Last Post: October 15th 2008, 08:32 PM
  5. division
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 8th 2007, 11:41 AM

Search Tags


/mathhelpforum @mathhelpforum