\( 15^4 = (-2)^4 = 16

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• \( 12^4 = (144)^2 \equiv (144 - 8\cdot17 = 144 - 136 = 8)^2 = 64 \equiv 13
• \( 13^4 = (169)^2 \equiv (16)^2 = 256 \equiv 256 - 15\cdot17 = 256 - 255 = 1 \) → yes
• \( 14^4 = (-3)^4 = 81 \equiv 13
• \( 16^4 = (-1)^4 = 1 \), but \( 16 \equiv -1 \), excluded
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