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Math Help - division by 1919190

  1. #1
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    division by 1919190

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

    Please help
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    Thanks from Suvadip
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  3. #3
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    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).
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