Russian Math Olympiad Problems And Solutions Pdf Verified Jun 2026

👉 (Scroll to “Russian MO Problems and Solutions” — PDFs are original scans from the Russian Ministry of Education.)

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Find all positive integers $n$ such that $n! + 1$ is a perfect square. 👉 (Scroll to “Russian MO Problems and Solutions”

Master the Russian Math Olympiad: Verified Problems, Solutions, and PDF Resources + 1$ is a perfect square

But also consider vertical overlapping to get same for rows 4–5, and then propagate. The clean proof: By induction on rows, the condition forces every 2×2 sum to be 0 ⇒ all entries equal (via 2×2 sliding). Then 0 = sum of any 2×2 = 4×common value ⇒ common value = 0.

The AoPS wiki contains a massive, community-verified database of Russian Math Olympiad problems from the 1990s to the present day. Users can export these threads into clean, readable PDFs.