## abc-conjecture

Noun

- (mathematics) A conjecture in number theory, stated in terms of three positive integers,
*a*,*b*and*c*, which have no common factor and satisfy*a*+*b*=*c*. If*d*denotes the product of the distinct prime factors of*abc*, the conjecture essentially states that*d*is usually not much smaller than*c*. In other words: if*a*and*b*are composed from large powers of primes, then*c*is usually not divisible by large powers of primes.

Origin

From the names of the variables *a*, *b*, and *c*.