An abundant number is said to be primitive if none of its proper divisors are abundant. Dickson proved that for an arbitrary positive integer d there exists only finitely many odd primitive abundant numbers having exactly d prime divisors. In this paper we describe a fast algorithm that finds all primitive odd numbers with d unique prime divisors. We use this algorithm to find all the number of odd primitive abundant numbers with 6 unique Divisors. We use this algorithm to prove that an odd weird number must have at least 6 prime divisors
As shown by Euler an odd perfect number n must be of the form n=p^α m^2 where p≡α≡1 (mod 4) and p is...
In Fall 2013, the Math Honors Seminar at Central Washington University broke the world record for la...
A perfect number is defined as a number n for which the sum of the divisors of n equals 2n. All perf...
We give an algorithm to enumerate all primitive abundant numbers (PAN) with a fixed Ω, the number of...
AbstractIt is not known whether or not there exists an odd perfect number. We describe an algorithmi...
In this work we construct a lower bound for an odd perfect number in terms of the number of its dist...
On the distribution of primitive abundant numbers by Michael R. Avidon (Atlanta, Ga.) A number m is ...
In this paper we study some structure properties of primitive weird numbers in terms of their factor...
University of Technology, Sydney. Department of Mathematical Sciences.A long standing unanswered que...
Let $\sigma(n)$ to be the sum of the positive divisors of $n$. A number is non-deficient if $\sigma(...
Leonhard Euler, after proving that every even perfect number has the form given by Euclid, turned hi...
Abstract. In response to a recent article by K. R. S. Sastry, we exhibit infinitely many odd nonunit...
8 pagesWeird numbers are abundant numbers that are not pseudoperfect. Since their introduction, the ...
We say n ∈ ℕ is perfect if σ (n) = 2n, where σ(n) denotes the sum of the positive divisors of n. No ...
A composite odd integer can be expressed as product of two odd integers. Possibly this decomposition...
As shown by Euler an odd perfect number n must be of the form n=p^α m^2 where p≡α≡1 (mod 4) and p is...
In Fall 2013, the Math Honors Seminar at Central Washington University broke the world record for la...
A perfect number is defined as a number n for which the sum of the divisors of n equals 2n. All perf...
We give an algorithm to enumerate all primitive abundant numbers (PAN) with a fixed Ω, the number of...
AbstractIt is not known whether or not there exists an odd perfect number. We describe an algorithmi...
In this work we construct a lower bound for an odd perfect number in terms of the number of its dist...
On the distribution of primitive abundant numbers by Michael R. Avidon (Atlanta, Ga.) A number m is ...
In this paper we study some structure properties of primitive weird numbers in terms of their factor...
University of Technology, Sydney. Department of Mathematical Sciences.A long standing unanswered que...
Let $\sigma(n)$ to be the sum of the positive divisors of $n$. A number is non-deficient if $\sigma(...
Leonhard Euler, after proving that every even perfect number has the form given by Euclid, turned hi...
Abstract. In response to a recent article by K. R. S. Sastry, we exhibit infinitely many odd nonunit...
8 pagesWeird numbers are abundant numbers that are not pseudoperfect. Since their introduction, the ...
We say n ∈ ℕ is perfect if σ (n) = 2n, where σ(n) denotes the sum of the positive divisors of n. No ...
A composite odd integer can be expressed as product of two odd integers. Possibly this decomposition...
As shown by Euler an odd perfect number n must be of the form n=p^α m^2 where p≡α≡1 (mod 4) and p is...
In Fall 2013, the Math Honors Seminar at Central Washington University broke the world record for la...
A perfect number is defined as a number n for which the sum of the divisors of n equals 2n. All perf...