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Jan 11, 2013 at 1:39 comment added Jim White Aaron, that sounds like fun, is there anything I can do to contribute?
Jan 9, 2013 at 13:25 history edited Jim White CC BY-SA 3.0
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Jan 9, 2013 at 12:36 comment added Aaron Meyerowitz I've wondered about similar things. I'm interested in finding triples of nearly equal integers integers with square product. That would require (or at least benefit from) hits among near optimal rational approximates to square roots. A pretty impressive example is $(10082,10086,10092)=(2a^2,6b^2,3c^2)$ where $a/b=71/41$ and $b/c=41/29$ are convergents to $\sqrt{3}$ and $\sqrt{2}$. That is enough although that drags along $22/9,49/20$ which are convergents to $\sqrt{6}$ with $(22+49)/(9+20)=a/c.$
Jan 9, 2013 at 7:14 history edited Jim White CC BY-SA 3.0
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Jan 9, 2013 at 7:04 history edited Jim White CC BY-SA 3.0
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Jan 9, 2013 at 6:56 history answered Jim White CC BY-SA 3.0