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--- pow:problem2f20 [2020/09/30 00:47]
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+<box 80% round orange|Problem 2 (due Monday, September 28)>
+Let $\mathbb N_0$ be the set $\{0,1,2,\ldots\}$ of all non-negative integers. Find all functions $f:\mathbb N_0
+\longrightarrow \mathbb N_0$ such that $f(a^2+b^2)=f(a)^2+f(b)^2$ for all $a,b$ in $\mathbb N_0$.
+</box>
+No complete solution was received. Partial solutions submitted by Yuqiao Huang, Maxwell T Meyers, and
+Matthew Pressimone. Detailed solution is discussed in the following link {{:pow:2020fproblem2.pdf|Solution}}