Year: 2018
Type: conference-paper
Abstract: Lemoine’s conjecture is an unsolved problem in number theory. It puzzled mathematicians for a hundred and twenty three years. Lemoine’s conjecture is as follows: All odd integers greater than five can be represented as the sum of an odd prime and an even semiprime (a natural number that is the product of two (not necessarily distinct) prime numbers). Expressed algebraically: 2n + 1 = p + 2q always has a solution in primes p and q (not necessarily distinct) where n > 2 such as 23 = 13 + 2 · 5 = 17 + 2 · 3 = 19 + 2 · 2, we say the 3 has 3 ways to be present as p + 2q, which we called Lemoine’s conjecture. The most common calculator provided which has arithmetic and logical functions, did not offer a special operation such as Lemoine calculator. Base on this paper and viewpoint, the authors will design this calculator when researchers want to work on the conjecture.
Source: AIP conference proceedings
DOI: 10.1063/1.5045419
Authors: Junjie Huang, Ying Xiao, Chenglian Liu
Institution: Neusoft Institute Guangdong
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2886540774