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Is there a solution to this? notes that a, b, c, d are different integers.

I have tried to solve it with algebra and my equations are leading me in circles.

I know that 0 and 1 solve this. Are there other integers?

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    $b=1, \; d=1 {}{}{} $2012-09-26
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    @WillJagy any others?2012-09-26
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    $a=b=c=d=2$ works2012-09-26
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    And $a=b=d=3$ with $c=1$.2012-09-26
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    This doesn't seem to be what you want, but $2^59^2=2592$.2012-09-27
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    @GerryMyerson I wish I could upvote your comment :)2013-02-07

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Think of a prime $p$ that divides $a$. How many factors of $p$ are on each side?