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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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On a conjecture of Crandall concerning the $qx+1$ problem
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by Zachary Franco and Carl Pomerance PDF
Math. Comp. 64 (1995), 1333-1336 Request permission


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.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Math. Comp. 64 (1995), 1333-1336
  • MSC: Primary 11B83; Secondary 11B05
  • DOI:
  • MathSciNet review: 1297468