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28 July 2023 Natural numbers: their factors, primality and perfection
Shuai Wang
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Proceedings Volume 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023); 1275604 (2023) https://doi.org/10.1117/12.2685946
Event: 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), 2023, Tangshan, China
Abstract
Mathematics is a subject that has been developed for thousands of years. Alongside everything else, prime numbers and perfect numbers are studied since the earliest of time, and still today. Despite all the improvements in mathematics and computer power, mysteries of prime numbers and perfect numbers still remain. From trial division, to Mersenne primes and Fermat numbers, all the way to Reimann Hypothesis, mathematicians kept attempting to capture the pattern of primes. Although a lot of progress are made, it is still not known precisely. Searching of big primes and constructing special composite numbers contributed to other areas a lot, from encryption to proofs of other number theoretic concepts. Perfect numbers are even rarer than primes. The study of perfect numbers can be traced back to the Pythagorean brotherhood. In this article, we will discuss about brief history of the research, theorems, proofs, as well as some useful algorithms.
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Shuai Wang "Natural numbers: their factors, primality and perfection", Proc. SPIE 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 1275604 (28 July 2023); https://doi.org/10.1117/12.2685946
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KEYWORDS
Mathematics
Algorithms
Binary data
Computing systems
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