Volume
9
Issue
3
Abstract
By forming a table of sequential odd numbers using a single quadrant expanding square pattern it was observed that multiple Mersenne primes fall into the first column. We prove that the Mersenne primes which fall into the first column will be of the form p = 3 mod 4, where p is the Mersenne prime exponent. Focusing the search of primes to those which fall into the first column of this square may be a means to increase the speed at which large primes are discovered.
First Page
465
Last Page
470
Recommended Citation
Daignault, Cory P.; Sprague, Douglas; and Mott, Joe L.
(2012)
"Evaluating Mersenne Primes Using a Single Quadrant Expanding Square,"
The Mathematics Enthusiast: Vol. 9
:
No.
3
, Article 11.
DOI: https://doi.org/10.54870/1551-3440.1254
Available at:
https://scholarworks.umt.edu/tme/vol9/iss3/11
Digital Object Identifier (DOI)
10.54870/1551-3440.1254
