# Find a 4 digit number...

#### eddybob123

##### Active member
I challenge users to find a four digit number $\overline{abcd}$ that is equal to $a^a+b^b+c^c+d^d$.

#### MarkFL

Staff member
I felt it was better to begin a new topic for this, especially since the other problem had not been solved yet.

#### Albert

##### Well-known member
I challenge users to find a four digit number $\overline{abcd}$ that is equal to $a^a+b^b+c^c+d^d$.
Ans :$3435=3^3+4^4+3^3+5^5$
for $6^6=46656>9999$
$\therefore a,b,c,d \leq5$
$3^3=27$
$4^4=256$
$5^5=3125$
the next procedure is easy

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