Perfect Numbers: Computational and Technical Exploration

Year : 2026 | Volume : 13 | Issue : 01 | Page : 9 16
    By

    Mayank Garg,

  • Varuchi Maurya,

  • Uma Rani,

  • Sonal Kanungo Sharma,

  1. Student, Department of AI-DS, Dr. Akhilesh Das Gupta Institute of Professional Studies, New Delhi, India
  2. Student, Department of AI-DS, Dr. Akhilesh Das Gupta Institute of Professional Studies, New Delhi, India
  3. Professor, Department of AI-DS, Dr. Akhilesh Das Gupta Institute of Professional Studies, New Delhi, India
  4. Associate Professor, , Thakur Institute of Management Studies, Career Development & Research, Mumbai, India

Abstract

This paper explores perfect numbers, by getting into their historical significance and computational journey from ancient times to the present day. The discussion covers the mathematical definition of perfect numbers, their importance in number theory, and the major milestones in their discovery. Also, it elaborates how the coders are using their skillsets to identify new perfect numbers and the transforming outcome of getting more and more perfect numbers found. By providing a comprehensive overview on perfect numbers, this paper highlights the critical contributions of historical and modern computational methods, underlining their lasting importance in both theoretical and applied mathematics.

Keywords: Algorithmic optimization, computational mathematics, distributed computing, lucas-lehmer test, mersenne primes, number theory, numerical patterns, perfect numbers

[This article belongs to Research & Reviews: Discrete Mathematical Structures ]

How to cite this article:
Mayank Garg, Varuchi Maurya, Uma Rani, Sonal Kanungo Sharma. Perfect Numbers: Computational and Technical Exploration. Research & Reviews: Discrete Mathematical Structures. 2026; 13(01):9-16.
How to cite this URL:
Mayank Garg, Varuchi Maurya, Uma Rani, Sonal Kanungo Sharma. Perfect Numbers: Computational and Technical Exploration. Research & Reviews: Discrete Mathematical Structures. 2026; 13(01):9-16. Available from: https://journals.stmjournals.com/rrdms/article=2026/view=238959


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Regular Issue Subscription Original Research
Volume 13
Issue 01
Received 22/01/2026
Accepted 06/02/2026
Published 15/02/2026
Publication Time 24 Days
26

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