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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}}