Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1005 2021 2021 Gaziantep University, Turkey Mikail Bal Islamic university Of Gaza, Palestine Katy D. Ahmad Cairo University, Egypt Rozina Ali This paper is dedicated to present a wide review study on the recent advantages of neutrosophic linear diophantine equations and number theory.   We revise the neutrosophic linear diophantine equations, refined neutrosophic Diophantine equations, and n-refined neutrosophic linear Diophantine equations. 2022 2022 61 75 10.54216/JNFS.020106 https://www.americaspg.com/articleinfo/24/show/1005