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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