# Abc-conjecture Definition

(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 of Abc-conjecture

From the names of the variables

*a*,*b*, and*c*.From Wiktionary

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