让$\mathrm{<trans\; data-src="q">q个</trans>}$是质数并且$\mathrm{<trans\; data-src="f">（f）</trans>}<trans\; data-src="(">(</trans>\mathrm{<trans\; data-src="x">x个</trans>}<trans\; data-src=")">)</trans><trans\; data-src="=">=</trans>{\mathrm{<trans\; data-src="x">x个</trans>}}^{{\mathrm{<trans\; data-src="q">q个</trans>}}^{\mathrm{<trans\; data-src="s">秒</trans>}}}<trans\; data-src="-">-</trans>\mathrm{<trans\; data-src="a">一</trans>}{\mathrm{<trans\; data-src="x">x个</trans>}}^{\mathrm{<trans\; data-src="m">米</trans>}}<trans\; data-src="-">-</trans>\mathrm{<trans\; data-src="b">b条</trans>}$是一元不可约次多项式${\mathrm{<trans\; data-src="q">q个</trans>}}^{\mathrm{<trans\; data-src="s">秒</trans>}}$具有整数系数。让$\mathrm{<trans\; data-src="K">K（K）</trans>}<trans\; data-src="=">=</trans>\mathrm{<trans\; data-src="\mathbb{Q}">\mathbb{Q}</trans>}<trans\; data-src="(">(</trans>\mathrm{<trans\; data-src="𝜃">𝜃</trans>}<trans\; data-src=")">)</trans>$是一个代数数域$\mathrm{<trans\; data-src="𝜃">𝜃</trans>}$的根$\mathrm{<trans\; data-src="f">（f）</trans>}<trans\; data-src="(">(</trans>\mathrm{<trans\; data-src="x">x个</trans>}<trans\; data-src=")">)</trans>$.我们给出了一些只涉及$\mathrm{<trans\; data-src="a">一</trans>}<trans\; data-src=",">，</trans>\mathrm{<trans\; data-src="b">b条</trans>}<trans\; data-src=",">，</trans>\mathrm{<trans\; data-src="m">米</trans>}<trans\; data-src=",">，</trans>\mathrm{<trans\; data-src="q">q个</trans>}<trans\; data-src=",">，</trans>\mathrm{<trans\; data-src="s">秒</trans>}$对于其中$\mathrm{<trans\; data-src="K">K（K）</trans>}$不是单基因的。作为一个应用程序，我们表明如果$\mathrm{<trans\; data-src="p">第页</trans>}$是形式的质数$\mathrm{<trans\; data-src="3">三</trans>}\mathrm{<trans\; data-src="2">2</trans>}\mathrm{<trans\; data-src="k">k个</trans>}<trans\; data-src="+">+</trans>\mathrm{<trans\; data-src="1">1</trans>}$，$\mathrm{<trans\; data-src="k">k个</trans>}<trans\; data-src="\in ">\in </trans>\mathrm{<trans\; data-src="\mathbb{Z}">\mathbb{Z}</trans>}$和$\mathrm{<trans\; data-src="𝜃">𝜃</trans>}$是一元多项式的根$\mathrm{<trans\; data-src="f">（f）</trans>}<trans\; data-src="(">(</trans>\mathrm{<trans\; data-src="x">x个</trans>}<trans\; data-src=")">)</trans><trans\; data-src="=">=</trans>{\mathrm{<trans\; data-src="x">x个</trans>}}^{{\mathrm{<trans\; data-src="2">2</trans>}}^{\mathrm{<trans\; data-src="s">秒</trans>}}}<trans\; data-src="-">-</trans>\mathrm{<trans\; data-src="3">三</trans>}\mathrm{<trans\; data-src="2">2</trans>}\mathrm{<trans\; data-src="c">c（c）</trans>}\mathrm{<trans\; data-src="p">第页</trans>}{\mathrm{<trans\; data-src="x">x个</trans>}}^{{\mathrm{<trans\; data-src="2">2</trans>}}^{\mathrm{<trans\; data-src="r">第页</trans>}}}<trans\; data-src="-">-</trans>\mathrm{<trans\; data-src="p">第页</trans>}<trans\; data-src="\in ">\in </trans>\mathrm{<trans\; data-src="\mathbb{Z}">\mathbb{Z}</trans>}<trans\; data-src="[">[</trans>\mathrm{<trans\; data-src="x">x个</trans>}<trans\; data-src="]">]</trans>$具有，然后$\mathrm{<trans\; data-src="\mathbb{Q}">\mathbb{Q}</trans>}<trans\; data-src="(">(</trans>\mathrm{<trans\; data-src="𝜃">𝜃</trans>}<trans\; data-src=")">)</trans>$不是单基因的。