Article Per Year (5 Year)
p-Index From 2020 - 2025
0
P-Index
This Author published in this journals
All Journal Journal of Data Analysis
Saiful Amri
Jurusan Matematika, FMIPA UNSYIAH
Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
Suatu Kajian Tentang Bilangan Sempurna Saiful Amri; Mahmudi Mahmudi
Journal of Data Analysis Volume 2, Number 1, June 2019
Publisher : Department of Statistics, Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (249.18 KB) | DOI: 10.24815/jda.v2i1.12421

Abstract

Dalam tulisan ini akan dijelaskan mengenai kriteria bilangan sempurna genap dan bentuk bilangan sempurna ganjil (jika ada). Jika $2^k-1$  prima maka $2^{k-1}(2^k-1)$  berupa bilangan sempurna. Sebaliknya, semua bilangan sempurna genap berbentuk $2^{k-1}(2^k-1)$ , dimana $2^k-1$ prima. Maka masalah menentukan bilangan sempurna genap setara dengan menentukan $k$ sehingga $2^k-1$  prima. Bilangan $2^k-1$ disebut sebagai bilangan Mersenne dan ditulis dengan $M_k$. In this paper will be explained about the criteria of the even perfect numbers and the form of odd perfect numbers (if any). If  is prime, then  is perfect. Conversely, all even perfect numbers are of the form  with  is a prime. Thus, finding even perfect numbers is equivalent to find the integers  for which  is prime. The numbers of the form  called Mersenne numbers and is denoted by .
Co-Authors Mahmudi Mahmudi