The Story of Perfect Numbers from Euclid to Modern Computing

Authors

  • Krish Verma Aliso Viejo Middle School, Aliso Viejo, CA, USA Author

Keywords:

Perfect number, Mersenne prime, Great Internet Mersenne Prime Search (GIMPS), proper divisor, abundant number, deficient number, triangular number, multi-perfect number, amicable pair, hyperperfect number

Abstract

This essay explores the connection between perfect numbers and Mersenne primes, going over history and key properties with some proofs. It also includes Python code to generate the first eight perfect numbers and concludes with a brief overview of other numbers with interesting characteristics.

Intelligence Planet Vol 2 No 1 Spring 2025

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Published

2025-06-26

Issue

Vol. 2 No. 1 (2025): Intelligence Planet Journal of Mathematics and Its Applications

Section

Survey Papers and History of Science

License

Copyright (c) 2025 Krish Verma (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.