Note on Same Amazing properties of Perfect Numbers
Abstract
Number theory has been a fascinating topic for many mathematicians because of the relationships they can find between numbers and their divisors. One of which are, perfect numbers. They date back to ancient Greek mathematics when they studied the relationships between numbers and their divisors. As of 2018, there are currently 50 perfect numbers that have been found. The first four are 6, 28, 496, and 8128.The largest containing more than 23 million digits. Perfect numbers are still being found to this day and no one has found an odd perfect number yet. Euclid proved a formula for finding perfect numbers: If is prime, then is perfect. In other words, n is a number whose positive divisors sums to n.
Downloads
References
2. Burton, D. M. (1998). Elementary number theory. New York City, New York: McGraw-Hill.
3. Dodge, C. W. (1975). Numbers and mathematics. Boston, Massachusetts: Prindle, Weber & Schmidt Inc..
4. Mersenne prime. (2019, November 14). Retrieved November 14, 2019, from https://en.wikipedia.org/wiki/Mersenne_prime.
5. Mike. (2014, February 26). Perfect Numbers. Retrieved November 14, 2019, from http://www.dr-mikes-math-games-for-kids.com/blog/2014/02/perfect-numbers/.
6. Perfect Number. (n.d.). Retrieved November 14, 2019, from http://mathworld.wolfram.com/PerfectNumber.html.
7. This Huge New Prime Number Is a Very Big Deal. (n.d.). Retrieved November 14, 2019, from https://www.livescience.com/61364-really-big-prime-number.html.
Copyright (c) 2020 IJRDO - Journal of Mathematics (ISSN: 2455-9210)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere. Author(s) agree to the terms that the IJRDO Journal will have the full right to remove the published article on any misconduct found in the published article.
