abcde

[Virgil Nicula]

Sa se determine numarul \( N=\overline {abcde} \) in baza \( 10 \) astfel incat \( a^5+b^5+c^5+d^5+e^5=N \) .

[Mateescu Constantin]

\( \begin{array}{ccc}
54748 & = & 5^5+4^5+7^5+4^5+8^5 \\\\\\
92727 & = & 9^5+2^5+7^5+2^5+7^5 \\\\\\
93084 & = & 9^5+3^5+0^5+8^5+4^5\end{array} \)