AI 中文总结
针对有限域上本原四次多项式的猜想，本文在q足够大时，借助Fu和Wan的定理，通过AI辅助完成了证明。
AI 中文摘要
我们对自己提出的关于本原多项式的猜想给出了证明，适用于q足够大的情况。论证遵循标准路径，但需要比通常更深的结果，即Fu和Wan的定理，该证明由AI辅助完成。
英文摘要
We present a proof of a conjecture we made about primitive polynomials, for $q$ sufficiently large. The argument follows a standard route, however a deeper result than usual with a character sum bound is required. This is a theorem of Fu and Wan. The proof is AI assisted.
