Distribution of two equidistant prime numbers

This final-year project delves into the analysis of prime number distributions with specific intervals between them. Extensive literature reviews explore established theorems and conjectures in the field. Computational investigations are conducted to scrutinize prevalent conjectures, with a parti...

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主要作者: Ke, Guanguan
其他作者: Shu Jian Jun
格式: Final Year Project
語言:English
出版: Nanyang Technological University 2024
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在線閱讀:https://hdl.handle.net/10356/176149
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機構: Nanyang Technological University
語言: English
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spelling sg-ntu-dr.10356-1761492024-05-18T16:52:30Z Distribution of two equidistant prime numbers Ke, Guanguan Shu Jian Jun School of Mechanical and Aerospace Engineering MJJShu@ntu.edu.sg Engineering Incomplete gamma function Prime numbers The First Hardy-Littlewood Conjecture This final-year project delves into the analysis of prime number distributions with specific intervals between them. Extensive literature reviews explore established theorems and conjectures in the field. Computational investigations are conducted to scrutinize prevalent conjectures, with a particular focus on the First Hardy-Littlewood Conjecture. A novel approach is introduced to establish a connection between the First Hardy-Littlewood Conjecture and the Upper Incomplete Gamma Function, aiming to propose an alternative expression for the conjecture. The exploration of this novel methodology forms a significant component of this project. Finally, the project includes discussions on the significance and various applications of prime numbers, elucidating their importance in diverse areas of mathematics and beyond. Bachelor's degree 2024-05-14T01:04:56Z 2024-05-14T01:04:56Z 2024 Final Year Project (FYP) Ke, G. (2024). Distribution of two equidistant prime numbers. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/176149 https://hdl.handle.net/10356/176149 en B222 application/pdf application/pdf Nanyang Technological University
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering
Incomplete gamma function
Prime numbers
The First Hardy-Littlewood Conjecture
spellingShingle Engineering
Incomplete gamma function
Prime numbers
The First Hardy-Littlewood Conjecture
Ke, Guanguan
Distribution of two equidistant prime numbers
description This final-year project delves into the analysis of prime number distributions with specific intervals between them. Extensive literature reviews explore established theorems and conjectures in the field. Computational investigations are conducted to scrutinize prevalent conjectures, with a particular focus on the First Hardy-Littlewood Conjecture. A novel approach is introduced to establish a connection between the First Hardy-Littlewood Conjecture and the Upper Incomplete Gamma Function, aiming to propose an alternative expression for the conjecture. The exploration of this novel methodology forms a significant component of this project. Finally, the project includes discussions on the significance and various applications of prime numbers, elucidating their importance in diverse areas of mathematics and beyond.
author2 Shu Jian Jun
author_facet Shu Jian Jun
Ke, Guanguan
format Final Year Project
author Ke, Guanguan
author_sort Ke, Guanguan
title Distribution of two equidistant prime numbers
title_short Distribution of two equidistant prime numbers
title_full Distribution of two equidistant prime numbers
title_fullStr Distribution of two equidistant prime numbers
title_full_unstemmed Distribution of two equidistant prime numbers
title_sort distribution of two equidistant prime numbers
publisher Nanyang Technological University
publishDate 2024
url https://hdl.handle.net/10356/176149
_version_ 1806059767363272704