ABC-hitsABC 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=9n-1, with n=1,2,3,…)
