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MathNet 2025-part-01 — 187 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)

Question 114

Show that $\underbrace{66\dots6}_{61}\underbrace{11\dots1}_{61}$ is divisible by $61$.
(Nursoltan Khavalbolot)