TR-MO-R1 2025 Problem 14

Kaç $n \leq 2025$ pozitif tam sayısı için $3^x - 5^y$ sayısının $n$ ile bölünmesini sağlayan $x$ ve $y$ pozitif tam sayıları bulunmaz?

a) $405$ b) $675$ c) $945$ d) $1020$ e) $1050$

Dataset text TÜBİTAK olympiad set, Matematik_2025_1.Asama_14. Quoted with source.

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