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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| Format: | Final Year Project |
| Language: | English |
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Nanyang Technological University
2024
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| Online Access: | https://hdl.handle.net/10356/176149 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | 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. |
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