Beal Conjecture

[jep2276]

From the web

Quote:

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The Beal Conjecture's solution could make someone into a millionaire, if he or she is able to solve the difficult math problem. The challenge, created by billionaire Texas banker and mathematician D. Andrew Beal, will give the solver $1,000,000 to finally put to rest the problem he found in 1993.

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BEAL'S CONJECTURE: If A^x + B^y = C^z, where A, B, C, x, y and z are positive integers and x, y and z are all greater than 2, then A, B and C must have a common prime factor.

The official link: Beal Conjecture

Hope someone here gets the money! Any thoughts on how to prove this?


EDIT added the conjecture

Edited: 15 Aug 2013, 11:14 a.m.

[Thomas Klemm]

Maybe this helps: abc Conjecture - Numberphile

[Namir]

What application or use does the conjecture itself have??? Are we paying attention to it because of the reward?

Namir

[jep2276]

Yes, the money would be nice...

But, any advancement in Number Theory and the isolation of Primes, or Relative Primes, is almost always an advancement in Cryptology.

John