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Home » oxeda^3 + b^3 + c^3 = 3abc - Baxtercollege

oxeda^3 + b^3 + c^3 = 3abc - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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But what about $3 \cdot 5 = 15$? We saw $120$ in previous problem, but...
So far, guaranteed divisors: $3$. But is $3 \cdot 3 = 9$ always? No.
But consider modulo $9$: the multiple of 3 in the four may be $3 \mod...
Now consider **product modulo small numbers**. Try small cases:
$1 \cdot 3 \cdot 5 \cdot 7 = 105$
$3 \cdot 5 \cdot 7 \cdot 9 = 945$
$5 \cdot 7 \cdot 9 \cdot 11 = 3465$
$7 \cdot 9 \cdot 11 \cdot 13 = 9009$
$9 \cdot 11 \cdot 13 \cdot 15 = 19305$
Now compute GCD of these values:

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