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Home » Letâs analyze $ (x^2 + 1)^2025 \mod d(x) $. - Dyverse

Letâs analyze $ (x^2 + 1)^2025 \mod d(x) $. - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Equality occurs when $ a = b = c = 1 $, i.e., when $ x = y = z $.
Now consider the second term:
\log\left(b + rac{1}{b}
ight) \geq \log(2),
with equality when $ b = 1 $, i.e., $ y = z $.
Thus, the minimum value of the entire expression is
- \log(2).
This value is achievable when $ x = y = z $, so the minimum is
oxed{3 - \log 2}.
Question: Find the remainder when $ (x^2 + 1)^{2025} + 1 $ is divided...

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