Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


The second largest prime factor of an odd perfect number

Author: Carl Pomerance
Journal: Math. Comp. 29 (1975), 914-921
MSC: Primary 10A25; Secondary 10A40
MathSciNet review: 0371801
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Recently Hagis and McDaniel have studied the largest prime factor of an odd perfect number. Using their results, we begin the study here of the second largest prime factor. We show it is at least 139. We apply this result to show that any odd perfect number not divisible by eight distinct primes must be divisible by 5 or 7.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 10A25, 10A40

Retrieve articles in all journals with MSC: 10A25, 10A40

Additional Information

PII: S 0025-5718(1975)0371801-7
Article copyright: © Copyright 1975 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia