Advances in aliquot sequences-Reference-Cited by-同舟云学术

Advances in aliquot sequences

Published:1999 Issue:225 Volume:68 Page:389-393
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Benito Manuel,Varona Juan

Abstract

In this paper we describe some advances in the knowledge of the behavior of aliquot sequences starting with a number less than 10000 10000 . For some starting values, it is shown for the first time that the sequence terminates. The current record for the maximum of a terminating sequence is located in the one starting at 4170; it converges to 1 after 869 iterations getting a maximum of 84 decimal digits at iteration 289.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1999-68-225/S0025-5718-99-00991-6/S0025-5718-99-00991-6.pdf

Reference6 articles.

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2. L. E. Dickson, Theorems and tables on the sum of the divisors of a number, Quart. J. Math. 44 (1913), 264–296.

3. On asymptotic properties of aliquot sequences;Erdős, P.;Math. Comp.,1976

4. A record aliquot sequence;Guy, Andrew W. P.,1994

5. Problem Books in Mathematics;Guy, Richard K.,1994

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