ODD PERFECT NUMBERS ARE GREATER THAN 101500

被引：21
|
作者：
Ochem, Pascal [1 ]
Rao, Michael [2 ,3 ]
机构：
[1] Univ Paris 11, LRI, CNRS, F-91405 Orsay, France
[2] LaBRI, F-33405 Talence, France
[3] CNRS, Lab JV Poncelet, Moscow, Russia
来源：
MATHEMATICS OF COMPUTATION | 2012年 / 81卷 / 279期
关键词：
D O I：
10.1090/S0025-5718-2012-02563-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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).
引用
收藏
页码：1869 / 1877
页数：9
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