摘要
基于哥德巴赫猜想问题的研究,应用筛法在首项为3、公差为2的等差数列集合与所定义的哥德巴赫集合的元素中将含有奇素数及其所有倍数的元素逐次分离出去之后,分别得到了其剩余元素总量的数学表达式及素数分布的均值公式,进而确定了哥德巴赫集合剩余元素中素数对与合数对的个数之差与任一不小于12的有限偶数之间的函数关系,由此推导出的渐近公式证明了哥德巴赫猜想表法个数不小于1并确定了其分布范围.
Based on the research of Goldbach’s Conjecture,by means of sieve of Eratosthenes,from the arithmetic progression aggregate(First Term is 3,Common Difference is 2)and the defined Goldbach’s Conjecture aggregate,the elements contain odd prime number and all of the corresponding multiple are separated.From all of the remaining elements,gross mathematical expression and prime number distribution mean value formula are deduced separately,then the function is determined which involves the relationship between number difference(between twin composite numbers and twin prime numbers)and any limited even number less than 12,thereof the deduced asymptotic formula proves that Goldbach’s Conjecture table method number is less than 1 and its distribution range is determined.
作者
张春山
ZHANG Chun-shan(Science and Technology Department of Liaohe Oilfield,Panjin Liaoning 124010,China)
出处
《大学数学》
2018年第5期19-22,共4页
College Mathematics
关键词
哥德巴赫猜想
素数
渐近公式
Goldbach’s conjecture
prime number
asymptotic formula