## ABC hits

An ABC hit is a triple of positive integers *a*, *b* and *c*, with *c=a+b* and gcd(*a*,*b*,*c*)=1 of which the radical (the product of the prime factors of *a×b×c*) is smaller than *c*.

A famous conjecture in number theory states that there are only "few" ABC hits (although there are infinitely many). One can participate in the great search of these hits, with a computer program of course.

On this page you can try to find ABC hits yourself, by entering the numbers *a* and *b* (*c* of course follows).
In the input fields, you can use the operators `+`, `-`, `*` and `^`.
Play a little on this page, and then let your computer take over at abcathome.com!

To get started, you can have a look at the results page of the abc project (page in Dutch). Or try the following trick: *a*=1, *b*=9^{n}-1, with *n*=1,2,3,…)