ODD PERFECT NUMBERS HAVE AT LEAST NINE DISTINCT PRIME FACTORS 1.
Introduction A perfect number is one where σ(N) = 2N. In other Page 1 MATHEMATICS OF …

Nowhere in mathematics is the progress resulting from the advent of computers as apparent
as in the additive number theory. In this part, we describe the role of computers in the …

ODD PERFECT NUMBERS HAVE A PRIME FACTOR EXCEEDING 108 1. Introduction A
positive integer n is said to be perfect if σ(n)=2n, wh Page 1 MATHEMATICS OF COMPUTATION …

A positive integer $ n $ is called perfect if $\sigma (n)= 2n $, where $\sigma (n) $ denote the
sum of divisors of $ n $. In this paper we study the ratio $\frac {\sigma (n)}{n} $. We define the …

A perfect number is a positive integer $ N $ such that the sum of all the positive divisors of $
N $ equals $2 N $, denoted by $\sigma (N)= 2N $. The question of the existence of odd …

This book presents material suitable for an undergraduate course in elementary number
theory from a computational perspective. It seeks to not only introduce students to the …

arXiv:1008.0155v1 [math.NT] 1 Aug 2010 Page 1 arXiv:1008.0155v1 [math.NT] 1 Aug 2010
Acta Univ. Sapientiae, Mathematica, 1, 1 (2009) 73–82 Generalized perfect numbers Antal …

Let $\sigma (n) $ denote the sum of the positive divisors of $ n $. We say that $ n $ is perfect
if $\sigma (n)= 2 n $. Currently there are no known odd perfect numbers. It is known that if an …

Generalized Perfect Numbers Connected with Arithmetic Functions Page 1 Math. Sci. Lett. 3,
No. 3, 249-253 (2014) 249 Mathematical Sciences Letters An International Journal http://dx.doi.org/10.12785/msl/030318 …

Нигде в математике прогресс, связанный с возникновением компьютеров, не является
столь зримым, как в аддитивной теории чисел. В этой части будет рассказано о роли …