abc conjecture

noun2

1. •
   Given coprime positive integers a, b and c, such that a + b = c, and d the radical of abc (the product of its distinct prime factors), the conjecture that d is usually not much smaller than c (in other words, that if a and b are divisible by large powers of primes, then c usually is not).

   • The abc conjecture may well replace the Fermat theorem for the future generation of mathematicians. — 2004
2. •
   Any of certain generalisations of the conjecture.