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Re: The Simpsons and the ABC conjecture :)
Posted:
Apr 7, 2013 4:31 PM


On 04/07/2013 03:17 PM, fc3a501@unihamburg.de wrote: > Remember the 3D adventure with the fake Fermat > counterexample? Not so impressive in *absolute* terms, > since you can easily give an infinite set of solutions > to a^3+b^3c^3=1. On the other hand, that example had > ^12. > Surely there has been work done on a^n+b^nc^n="small" > (I just have no idea how to google it :) and it > somehow relates to the ABC stuff. > Mind to drop a link? >
The ABC conjecture is about numbers a, b, c >=1, integers, such that a + b = c.
There's a list of "best" (a, b, c) triplets: those that come highest in a figure of merit test: "quality":
2 + (3^10)*109 = 23^5
due to E.R. , 1987
cf.: < http://www.math.leidenuniv.nl/~desmit/abc/index.php?set=1 >
dave
 Jesus is an Anarchist.  J.R.



