Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

On a conjecture of Crandall concerning the $qx+1$ problem


Authors: Zachary Franco and Carl Pomerance
Journal: Math. Comp. 64 (1995), 1333-1336
MSC: Primary 11B83; Secondary 11B05
DOI: https://doi.org/10.1090/S0025-5718-1995-1297468-4
MathSciNet review: 1297468
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: R. E. Crandall has conjectured that for any odd integer $q > 3$, there is a positive integer m whose orbit in the "$qx + 1$ problem" does not contain 1. We show that this is true for almost all odd numbers q, in the sense of asymptotic density.


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


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11B83, 11B05

Retrieve articles in all journals with MSC: 11B83, 11B05


Additional Information

Keywords: <IMG WIDTH="62" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img2.gif" ALT="$3x + 1$"> problem, <IMG WIDTH="61" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$qx + 1$"> problem, Wieferich prime
Article copyright: © Copyright 1995 American Mathematical Society