Tee, Pei Sia (2007) Mersenne Primes. University Malaysia Sabah. (Unpublished)

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Abstract
This dissertation focuses on Mersenne primes, where Mersenne primes are used to generate the corresponding even perfect numbers. Trialdivision and LucasLehmer test are used to verify Mersenne primes. The ones digit and tens digit of Mersenne primes are proved by using modular arithmetic. Some patterns of Mersenne numbers are introduced and diagonals of Mersenne's triangle are explored. Even perfect numbers that generated by Mersenne primes are determined by Euclid's theorem and Euler's theorem respectively. The last two digits of even perfect number are proved by using division algorithm and modular arithmetic. Relation of Mersenne primes and even perfect number is studied in triangular number's form.
Item Type:  Academic Exercise 

Keyword:  Mersenne primes, trialdivision, LucasLehmer test, arithmetic, diagonals of Mersenne's triangle 
Subjects:  Q Science > QA Mathematics 
Department:  SCHOOL > School of Science and Technology 
Depositing User:  SITI AZIZAH BINTI IDRIS  
Date Deposited:  19 May 2014 10:21 
Last Modified:  13 Oct 2017 11:58 
URI:  https://eprints.ums.edu.my/id/eprint/9026 
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