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Galoitica: Journal of Mathematical Structures and Applications

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https://doi.org/10.54216/GJSMA

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Galoitica: Journal of Mathematical Structures and Applications

Volume 9 , Issue 1 , PP: 38-44, 2023 | Cite this article as | XML | Html | PDF

Suggesting Two Cases of Total Summation Matching When Comparing Columns of Prime Numbers and Composite Numbers

Tareq M. Alkarimi 1 * , Rasha B. Yousif 2

  • 1 Thi-Qar Oil Company, Iraqi Ministry of Oil, Iraq - (sumerianur5@gmail.com)
  • 2 Department of Computer Science, College of Computer Science & Mathematics, University of Thi-Qar , Iraq - (rasha.b.alkhafaji@utq.edu.iq)

    • Doi: https://doi.org/10.54216/GJMSA.090104

    Received: April 21, 2023 Revised: July 14, 2023 Accepted: October 26, 2023
    Abstract

    This research paper focuses on a captivating mathematical phenomenon that arises when examining the total summation of prime and composite numbers. It brings to light two specific cases where the sum of numbers from a certain range is equal for both prime and composite numbers. The paper offers a deep exploration into the theoretical foundations and intricate mathematics that underlie this phenomenon. The research paper conducts a comprehensive analysis of the phenomenon, examining the specific ranges and conditions in which the total summation equality occurs. It delves into the mathematical principles involved, investigating the relationships between prime and composite numbers and their summations. The implications of these findings are explored, shedding light on the underlying patterns and structures in number theory.

    Keywords :

    prime numbers , composite numbers , mathematical intricacies , cryptography , number theory.

    References

    [1]    McLeman Cam Erin McNicholas and Colin Starr. 2022. Explorations in Number Theory : Commuting through the Numberverse. Cham Switzerland: Springer. Retrieved September 23 2023 (https://doi.org/10.1007/978-3-030-98931-6).

    [2]    Sinha Rajnikant. 2018. Real and Complex Analysis. Volume 2. Singapore: Springer. Retrieved September 23 2023 (https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=6312932).

    [3]    Li Huixi. 2019. “On the Representation of a Large Integer As the Sum of a Prime and a Square-Free Number with at Most Three Prime Divisors.” The Ramanujan Journal : An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan 141–58.

    [4]   Apostol, T. M. (2020). "Introduction to Analytic Number Theory." Springer.

    [5]   Crandall, R., & Pomerance, C. (2021). "Prime Numbers: A Computational Perspective." Springer.

    [6]   Hardy, G. H., & Wright, E. M. (2021). "An Introduction to the Theory of Numbers." Oxford University Press.

    [7]   Nathanson, M. B. (2020). "Elementary Methods in Number Theory." Springer.

    [8]   Niven, I., Zuckerman, H. S., & Montgomery, H. L. (2020). "An Introduction to the Theory of Numbers." John Wiley & Sons.

    [9]   Ribenboim, P. (2020). "The New Book of Prime Number Records." Springer.

    [10]Shanks, D. (2021). "Solved and Unsolved Problems in Number Theory." Courier Corporation.

    [11]Silverman, J. H., & Tate, J. (2021). "Rational Points on Elliptic Curves." Springer.

    [12]Stewart, I. (2021). "Galois Theory." CRC Press.

    [13]Zagier, D. (2020). "The Riemann Hypothesis: An Invitation to the Mathematics of the Greatest Unsolved Problem in Mathematics." American Mathematical Society.

    Cite This Article As :
    Tareq M. Alkarimi , Rasha B. Yousif. "Suggesting Two Cases of Total Summation Matching When Comparing Columns of Prime Numbers and Composite Numbers." Full Length Article, Vol. 9, No. 1, 2023 ,PP. 38-44 (Doi   :  https://doi.org/10.54216/GJMSA.090104)
    Tareq M. Alkarimi , Rasha B. Yousif. (2023). Suggesting Two Cases of Total Summation Matching When Comparing Columns of Prime Numbers and Composite Numbers. Journal of , 9 ( 1 ), 38-44 (Doi   :  https://doi.org/10.54216/GJMSA.090104)
    Tareq M. Alkarimi , Rasha B. Yousif. "Suggesting Two Cases of Total Summation Matching When Comparing Columns of Prime Numbers and Composite Numbers." Journal of , 9 no. 1 (2023): 38-44 (Doi   :  https://doi.org/10.54216/GJMSA.090104)
    Tareq M. Alkarimi , Rasha B. Yousif. (2023). Suggesting Two Cases of Total Summation Matching When Comparing Columns of Prime Numbers and Composite Numbers. Journal of , 9 ( 1 ), 38-44 (Doi   :  https://doi.org/10.54216/GJMSA.090104)
    Tareq M. Alkarimi , Rasha B. Yousif. Suggesting Two Cases of Total Summation Matching When Comparing Columns of Prime Numbers and Composite Numbers. Journal of , (2023); 9 ( 1 ): 38-44 (Doi   :  https://doi.org/10.54216/GJMSA.090104)
    Tareq M. Alkarimi, Rasha B. Yousif, Suggesting Two Cases of Total Summation Matching When Comparing Columns of Prime Numbers and Composite Numbers, Journal of , Vol. 9 , No. 1 , (2023) : 38-44 (Doi   :  https://doi.org/10.54216/GJMSA.090104)

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