Definitions from Wiktionary (abc conjecture)

▸ noun:  (number theory) 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).
▸ noun:  Any of certain generalisations of the conjecture.



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