Table 1

Table 1

Not(-yet)-terminating aliquot sequences with starting values up to 10000

This table lists both the results of my own computations (the first three columns in each of the five smaller tables below) and the current `state of the art' for each of the starting values. As far as I am aware for the starting values up to 1134 the best known results are those by Paul Zimmermann, see also his aliquot page; except for the 966 sequence, for which Jim Howell seems to hold the current record, see his page . All other sequences starting below 10000 have been pushed to at least 90 digits, and most to over 100 digits, by Juan Varona and Manuel Benito, see also their page. The values in the fourth and fifth columns thus refer to index and number of digits reached by Zimmermann, Howell, and Varona/Benito (as taken from their web pages).

0-20002000-40004000-60006000-80008000-10000
n index sizeindex size
276 911 90 1263 116
552 726 93 818 118
564 2229 91 3048 115
660 333 90 465 111
966 369 96 526 114
1074 1459 92 1576 105
1134 2134 89 2249 127
1464 1715 89 1897 101
1476 1012 92 1055 106
1488 640 90 824 103
1512 1533 92 1632 101
1560 1293 86 1336 101
1578 808 90 1109 104
1632 700 97 713 102
1734 1270 90 1404 103
1920 1910 91 1992 102
1992 955 90 985 102
n index sizeindex size
2232 344 90 390 102
2340 450 91 471 99
2360 937 90 974 95
2484 796 97 796 97
2514 2836 95 2836 95
2664 732 90 761 100
2712 866 92 1347 95
2982 802 94 810 97
3270 400 91 417 98
3366 1041 94 1062 100
3408 574 91 840 95
3432 913 95 933 103
3564 770 98 779 100
3678 1065 80 1201 98
3774 1174 93 1193 98
3876 792 90 830 96
3906 671 91 704 100
n index sizeindex size
4116 611 91 1192 105
4224 502 92 519 98
4290 905 90 953 106
4350 1132 90 1165 97
4380 848 85 965 100
4788 2133 97 2152 105
4800 647 84 1135 101
4842 417 86 473 98
5148 1378 82 1545 95
5208 443 80 1710 96
5250 1343 84 1567 100
5352 653 86 683 93
5400 1323 80 2776 102
5448 1135 80 1185 96
5736 869 80 1093 100
5748 875 85 1091 108
5778 691 82 742 95
n index sizeindex size
6160 1590 87 1630 96
6396 1234 92 1272 105
6552 842 82 932 102
6680 533 80 1880 105
6822 752 80 1177 97
6832 711 89 885 104
6984 1713 87 1764 96
7044 1057 87 1113 102
7392 469 85 498 96
7560 742 83 846 97
7890 801 80 891 99
7920 866 80 951 95
n index sizeindex size
8040 2173 84 2240 106
8154 563 83 647 96
8184 1145 80 1241 102
8288 656 82 849 103
8352 1184 81 1291 96
8760 2106 80 2145 94
8844 1104 82 1184 101
8904 856 81 963 95
9120 456 80 580 103
9282 415 81 505 95
9336 523 83 608 97
9378 560 84 2111 92
9436 433 84 505 91
9462 428 91 447 97
9480 893 88 945 93
9588 1270 90 1848 103
9684 609 90 643 101
9708 643 90 671 95
9852 573 90 669 105


Last update: 4 September 2001