What the heck is ABC@Home

[jasong]

Please explain it, delete this post, and Stickify the explanation.

[Angus]

What is ABC@home?

ABC@home is a distributed computing project enabling a great search for so called abc-triples. The project is comparable in a way to GIMPS, another mathematical project. These abc-triples are positive integers a,b,c such that a+b=c, a < b < c, a,b,c have no common divisors and c > rad(abc), the so-called radical of abc. The ABC conjecture says that there are only finitely many a,b,c such that log(c)/log(rad(abc)) > h for any real h > 1. The ABC conjecture is currently one of the greatest open problems in mathematics. If it is proven to be true, a lot of other open problems can be answered directly from it.

[jasong]

What does 'rad(abc)' mean?

Also, Google gave me bogus hits, can anyone provide a good link?

[alpha]

http://en.wikipedia.org/wiki/Radical_of_an_integer

I think?