If $13\mid a^{12}+b^{12}+c^{12}+d^{12}+e^{12}+f^{12}$, then $13^6\mid abcdef$ · Prove2Me

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If $13\mid a^{12}+b^{12}+c^{12}+d^{12}+e^{12}+f^{12}$, then $13^6\mid abcdef$ · Prove2Me