학술저널
SOME CONDITIONS ON THE EXISTENCE OF THE PAIRS OF PRIMES THAT DIFFER BY 2k
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 37, No. 3
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2024.08117 - 121 (5 pages)
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DOI : 10.14403/jcms.2024.37.3.117
- 0
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.
1. Introduction
2. Results
References
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