Comparison of 4n+1 and 4n-1 Primes

• 作者: Mi Zhou
• 来源期刊: 数学计算:中英文版
• 学科: 数学
• 关键词: Number Theory p=4n+1 p=4n-1
• 年，卷（期）: 2020,（1）
• 页码范围: 13-14
• 页数: 2页
• 分类号: O15

摘要

The famous mathematician Littlewood proposed an unsolved conjecture in number theory,which has two descriptions:1.Before any number in front of K,the number of prime numbers in the form of 4n+1 i s no more than 4n-1;2.After this number k,the number of prime numbers in the form of 4n-1 is no more than the number of primes in the form of 4n+1.This paper proves that there is a conclusion about this conjecture:1.There is a critical point K,and the number of 4n+1 primes before any natural number in front of k is not more than 4n-1.2.There is no critical point,the number of 4n+1 primes is never more than 4n-1 primes.One of the two conclusions must be true.