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Home » Smash Cake Fails Never Looked This Good—Shocking Truth Inside! - Appcentric

Smash Cake Fails Never Looked This Good—Shocking Truth Inside! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \(0^3 = 0\)

📌 \(1^3 = 1\)

📌 \(2^3 = 8 \equiv 3\)

📌 \(3^3 = 27 \equiv 2\)

📌 \(4^3 = 64 \equiv 4\)

📌 So only \(n \equiv 2 \pmod{5}\) works.

📌 Now lift to mod 25: Let \(n = 5k + 2\). Plug into \(n^3 \equiv 13 \pmod{25}\):

📌 n^3 = (5k+2)^3 = 125k^3 + 3\cdot25k^2\cdot2 + 3\cdot5k\cdot4 + 8 = 125k^3 + 150k^2 + 60k + 8

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