We show that the number of positive integers \(n\le N\) such that \({\mathbb {Z}}/(n^2+n+1){\mathbb {Z}}\) contains a perfect difference set is asymptotically \(\frac{N}{\log {N}}\).

中文翻译：

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理想差集的素幂猜想的渐近版本

我们证明正整数\（n \ le N \）的数量使得\（{\ mathbb {Z}} /（n ^ 2 + n + 1）{\ mathbb {Z}} \）包含一个完美的差set渐近\（\ frac {N} {\ log {N}} \）。