In this paper we present a new computational record: the aliquot sequence starting at 3630 converges to 1 after reaching a hundred decimal digits. Also, we show the current status of all the aliquot sequences starting with a number smaller than 10,000; we have reached at least 95 digits for all of them. in particular, we have reached at least 112 digits for the so-called "Lehmer five sequences," and 101 digits for the "Godwin twelve sequences." Finally, we give a summar showing the number of aliquot sequences of unknown end starting with a number less than or equal 10^6.
Publié le : 2002-05-14
Classification:
Aliquot sequences,
sum of divisors,
perfect number,
amicable pair,
sociable numbers,
aliquot cycles,
11Y55,
11A25
@article{1062621215,
author = {Benito, Manuel and Creyaufm\"uller, Wolfgang and Varona, Juan L. and Zimmermann, Paul},
title = {Aliquot sequence 3630 ends after reaching 100 digits},
journal = {Experiment. Math.},
volume = {11},
number = {3},
year = {2002},
pages = { 201-206},
language = {en},
url = {http://dml.mathdoc.fr/item/1062621215}
}
Benito, Manuel; Creyaufmüller, Wolfgang; Varona, Juan L.; Zimmermann, Paul. Aliquot sequence 3630 ends after reaching 100 digits. Experiment. Math., Tome 11 (2002) no. 3, pp. 201-206. http://gdmltest.u-ga.fr/item/1062621215/