abc conjecture
Given coprime positive integers a, b and c, such that a + b = c, and d the radical of…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).
Meaning
2 sensesGiven 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).
abc-Vermutung
Any of certain generalisations of the conjecture.
Translations
5 languagesBy meaning 1
Origin
From the names of the variables a, b, and c. The conjecture was proposed in 1985.From the names of the variables a, b, and c. The conjecture was proposed in 1985.
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Forms
plural: abc conjectures| Singular | abc conjecture |
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| Plural | abc conjectures |
regular