The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: The Simpsons and the ABC conjecture :-)
Replies: 1   Last Post: Apr 7, 2013 4:31 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
David Bernier

Posts: 3,892
Registered: 12/13/04
Re: The Simpsons and the ABC conjecture :-)
Posted: Apr 7, 2013 4:31 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 04/07/2013 03:17 PM, wrote:
> Remember the 3D adventure with the fake Fermat
> counter-example? Not so impressive in *absolute* terms,
> since you can easily give an infinite set of solutions
> to a^3+b^3-c^3=1. On the other hand, that example had
> ^12.
> Surely there has been work done on a^n+b^n-c^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

2 + (3^10)*109 = 23^5

due to E.R. , 1987

< >


Jesus is an Anarchist. -- J.R.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.