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trankhanhbang2004
2 năm trước
Cho n là số tự nhiên có dạng n = 1 + 4k, k ∈ N. Đặt x = $2^{n+1}$ + 2 và y = $2^{n+1}$ + 1. Chứng minh rằng (n.$y^{2}$ - 1) chia hết cho 4 và ($x^{n}$ + $y^{n}$) là một số chính phương.
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