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Mar 13, 2016 at 20:58 comment added Tito Piezas III Thanks! Your first family also has, $$(a+b-c)^2 = 4(ab+1)$$ and I forgot to specify that when this happens, then one element of the extended "sextuple" is zero, so effectively it is just a quintuple.
Mar 13, 2016 at 20:51 vote accept Tito Piezas III
Mar 13, 2016 at 20:46 history edited duje CC BY-SA 3.0
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Mar 13, 2016 at 20:31 history answered duje CC BY-SA 3.0