ABC@home |
Help solve one of the greatest open problems in mathematics, the ABC conjecture! The conjecture is stated in terms of simple properties of three integers, one of which is the sum of the other two (a + b = c):
The ABC conjecture has a large number of interesting consequences, including its relationship to questions in number theory, and therefore Fermat's Last Theorem. The ABC conjecture also gives a conditional proof for other conjectures (if the ABC conjecture were true, these other conjectures would be as well).
"The ABC conjecture is the most important unsolved problem in Diophantine analysis... It is more than utilitarian; to mathematicians it is also a thing of beauty. Seeing so many Diophantine problems unexpectedly encapsulated into a single equation drives home the feeling that all the sub disciplines of mathematics are aspects of a single underlying unity, and that at its heart lie pure language and simple expressibility." (Goldfeld, Dorian. 1996. "Beyond the last theorem". Math Horizons. September:26-34.)
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