📚 noun • entry_id 57585
abc conjecture
Meanings (ES + gloss)
conjetura abc
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).
1985, Paul Vojta, Appendix, Serge Lang, Introduction to Arakelov Theory, Springer, 1988 Softcover, page 156, Finally in §5 we give one application to the curve X⁴ + Y⁴ = Z⁴, showin…
The abc''' conjecture may well replace the Fermat theorem for the future generation of mathematicians.
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