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August 26th 2004, 09:12 PM
goblinm.gif
It is interesting that you can do this more efficiently. For example, lets say that "x" ranges from 0 to 3, y from 0 to 4 and z from 0 to 7. Then the number a+4b+20z is unique (or a+(3+1)b+(3+1)(4+1)c, if you prefer.)

You can use a similar method to prove that e is irrational, though it is neither harder nor easier than the normal proof.