哈尔滨商业大学学报（自然科学版）2024，Vol.40Issue(2)：237-239,3.
相邻自然数平方之间的可行数的个数
Number of practical numbers between squares of adjacent natural numbers
摘要
Abstract
A number h was defined as a practical number if for any natural number m that satisfied 1≤m≤h can be represented as the sum of some factors of h.In reference[1],proposed a conjecture:for any natural number,there existed N>0 such that whenever n>N,there were k practical numbers intheinterval(n2,(n +1)2).It can be proved by using Theorem 9 of reference[2].关键词
可行数/素数/Legendre猜想/整除/因数和/数学归纳法Key words
practical number/prime number/Legendre conjecture/division/sum of the divisors/mathematical induction分类
数理科学引用本文复制引用
王南翔,戴浩波..相邻自然数平方之间的可行数的个数[J].哈尔滨商业大学学报（自然科学版）,2024,40(2):237-239,3.基金项目
国家自然科学基金资助项目(11501007) （11501007）
