SOME CONDITIONS ON THE EXISTENCE OF THE PAIRS OF PRIMES THAT DIFFER BY 2k

• 발행기관: 충청수학회
• 저자명: Jaeyoung Kim Saehyun Kim Jinseo Park
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 37, No. 3, 117~121쪽, 전체 5쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2024.08.31

국문 초록

Let p be a prime number. The pair (p, p + 2) is called a twin prime pair when p + 2 is also a prime number. In this paper, we find a equation which makes two propositions, integers that are not able to expressed into the equation are infinite, and twin prime pair are infinite, are equivalent. Especially, we find the form of n which makes (an − k, an + k) is prime pair for an integer a and an odd number k with a difference 2k.

목차

1. Introduction

2. Results

References

키워드

Generalized Twin Prime