Sentence:  To prove or disprove the <WSD>"abc"-conjecture</WSD> would be an important contribution to number theory....Langevin ([236], [237]) proved that the <WSD>"abc"-conjecture</WSD> implies the Erdős-Woods conjecture with "k" = 3 except perhaps a finite number of counter examples. 
Meaning of the word marked with <WSD> tags:  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).