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Prime numbers expressed in the base 2 system and their relationships with other prime numbers used as a new method for prime number generation

01 December 2025, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Considering that there have been many attempts to discover new prime number formulae, it's certainly a matter of interest to continue looking for ways to achieve this goal. Using a different approach such as changing the base system of the numbers, it's shown that in order to obtain prime numbers using other primer numbers, it's possible to use numeric series of powers of the number 2.

Keywords

Prime number generation
Numeric series
Prime number
Number theory

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Version History

Dec 01, 2025 Version 1

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License

All Rights Reserved

DOI

10.33774/coe-2025-0dvx0
D O I: 10.33774/coe-2025-0dvx0 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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