# Abc-conjecture meaning

(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.noun

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## Origin of abc-conjecture

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