What is the size of the largest Sidon subset $A\subseteq \{1,2^2,\dots ,N^2\}$? Is it $N^{1-o(1)}$?

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

Let [ S_N:={1^2,2^2,\dots,N^2},\qquad F(N):=\max{|A|:A\subseteq S_N\ \text{is Sidon}}, ] where “Sidon” means (a+b=c+d) with (a,b,c,d\in A) forces ({a,b}={c,d}).

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.