对于正整数m，如果一个有限正整数集合在模m的每个同余类具有相等数量的元素，则称该集合是模m均匀分布的。文章主要研究的是在数字半群的重数为4的情况下，通过数字半群的定义及相关引理，证明得出当数字半群的间隙集是模m均匀分布时，m所满足的条件。

For a positive integer m, a finite set of integers is said to be evenly distributed modulo m if the set contains an equal number of elements in each congruence class modulo m. This paper mainly studies the condition of m when the multiplicity of numerical semigroup is 4, and through the definition of numerical semigroup and related lemmas, it is proved that m satisfies when the gap set of numerical semigroups is evenly distributed.