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Results tagged with abc-conjecture
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user 41947
13
votes
Accepted
Small $|2^x 3^y - 5^z 7^t|$ and generalization
Baker's theorem implies that
$$ |\log (A/B)| = |\sum e_i \log p_i - \sum f_j \log q_j| > \max (e_i, f_j)^{-C} $$
where $C$ depends only on $\{p_i\}, \{q_j\}$. Since $A \leq \left( \prod p_i \right) …
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