2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104851We prove that for any positive integer c and any s > 0 there are representations of c as a sum a+b of two coprime positive integers a, b, such that the respective radicals are all greater than K(s)R(c)^(1-s)c^2. For the reprasentations in question, this is a stronger result than the abc-conjecture, which postulates that these representations are greater than k(s)c^1/(1+s).14 pages The proof of Theorem 2 in the initial paper is erroneus. In the replacement paper, Theorems 3 and 4 give a correct proof. Misprints in proof of theorem 3 have being corrected, and certain clarifications addedNumber Theorytext