### Sidebar

pow:problem4s22

Problem 4 (due on Monday, March 28)

The number $N=\frac{1}{2}ab(a^4+b^4)$, where $a,b$ are positive integers such that $a^4+b^4=1+ab(1+2+3+\ldots +(a+b)).$ What is $N$?

We have not received any solutions. The number $N=2022$. For a complete solution see the following link Solution.