Paper
23 August 2023 A new conjecture: the high-order difference of prime sequence approximately obeys the normal distribution
Yuansheng Gao
Author Affiliations +
Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 1278426 (2023) https://doi.org/10.1117/12.2692923
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China
Abstract
In this paper, a new conjecture is presented: The high-order difference of prime sequence approximately obeys the normal distribution. Moreover, the 78498 prime numbers less than 1000000 are discussed to provide numerical evidence for the new conjecture. This conjecture provides a new direction for the study of the properties of prime numbers.
© (2023) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yuansheng Gao "A new conjecture: the high-order difference of prime sequence approximately obeys the normal distribution", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 1278426 (23 August 2023); https://doi.org/10.1117/12.2692923
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KEYWORDS
Statistical analysis

Mathematics

Industrial applications

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