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Number theory equations

  1. Oct 6, 2013 #1
    1. The problem statement, all variables and given/known data
    Solve the following equations positive integers:

    (i) a!+b!+c!=d!

    (ii) a!+b!=25*c!

    (iii)a!=b^2


    2. Relevant equations

    For the first two one , i have no idea how to begin . But the third one I may use Bertrand's Postulate some where. Could anyone give me some ideas??
     
  2. jcsd
  3. Oct 6, 2013 #2

    mfb

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    2016 Award

    Staff: Mentor

    Do you have to find all solutions? The first one has a solution that is easy to find, and you can even prove that there are no other solutions. The second one has a solution with small numbers, too, but I'm not sure how to prove (with pen&paper) that there are no other solutions.

    That is a good idea.
     
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