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Thread: NUmbers

  1. #1
    Expert Member
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    Jan 2007
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    272

    NUmbers

    Suppose there is a number A.
    Let its divisors are : A(itself) , 1, x, y, z,.....
    Let B be a number such that B = 1 + x + y + z +.... (Not adding A)
    Let the divisors of B are : B, 1, p, q, r,....
    and A = 1 + p + q + r + s + ..... (Not adding B)

    Find a minimum Number pair ( A, B) satisfying above condition.

    [B][COLOR="Blue"]Anyone who thinks he knows all the answers, must not be up-to-date on the questions[/COLOR][/B]
    [B]Anshul[/B]:)

  2. #2
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    Feb 2007
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    47

    Re: NUmbers

    Is it (1,1)

    ------
    Neelima


  3. #3
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    Jan 2007
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    272

    Re: NUmbers

    Actually i forgot to mention that you dont have to consider the number itself as its divisor in this case.
    So case (1,1) is not correct.

    [B][COLOR="Blue"]Anyone who thinks he knows all the answers, must not be up-to-date on the questions[/COLOR][/B]
    [B]Anshul[/B]:)

  4. #4
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    Join Date
    Feb 2007
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    47

    Re: NUmbers

    Is it (6,6) ?


  5. #5
    Expert Member
    Join Date
    Jun 2006
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    410

    Re: NUmbers

    all perfect numbers satisfy this condition....

    6 is the samllest perfect number.


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