Title
Odd perfect numbers are greater than 101500.
Abstract
Brent, Cohen, and te Ride proved in 1991 that an odd perfect number N is greater than 10(300). We modify their method to obtain N > 10(1500). We also obtain that N has at least 101 not necessarily distinct prime factors and that its largest component (i.e. divisor p(a) with p prime) is greater than 10(62).
Year
DOI
Venue
2012
10.1090/S0025-5718-2012-02563-4
MATHEMATICS OF COMPUTATION
Field
DocType
Volume
Combinatorics,Perfect number,Mathematics,Almost prime
Journal
81
Issue
ISSN
Citations 
279
0025-5718
3
PageRank 
References 
Authors
0.62
3
2
Name
Order
Citations
PageRank
Pascal Ochem125836.91
Michaël Rao2838.77