Problem of the Week

A new problem every Monday that challenges participants of all ages to think creatively and apply their math skills. Perfect for a weekly mental challenge.

The number 1634 is unique since 1634 = 14 + 64 + 34 + 44. There are three such four-digit positive numbers.  Find the sum of the three numbers that share this unique trait where abcd = a4 + b4 + c4 + d4.  The smallest is 1634.

 


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