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Home » $S(n,1) = 1$ for $n \geq 1$ - AMAZONAWS

$S(n,1) = 1$ for $n \geq 1$ - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
$S(n,1) = 1$ for $n \geq 1$

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📌 Now compute $ 8104 \mod 8 $. Since 8100 is divisible by 8 (as $ 8100 \div 8 = 1012.5 $, but $ 8000 \div 8 = 1000 $, and $ 100 \div 8 = 12.5 $), we check only the last three digits:
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📌 Solution: Let us define $ f(u) $ such that $ f(x^2 + 2) = x^4 + 4x^2 + 4 $. Observe that the right-hand side can be rewritten as:

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