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-   -   Aliquot sequences that start on the integer powers n^i (https://www.mersenneforum.org/showthread.php?t=23612)

gd_barnes 2022-09-28 09:37

Yoyo terminated 55^76! :-)

In other news:
52^39 is a merge but the merge info. is not shown on the page.

It merges at index=1221 with 27450:i52.

By the way, I do not have a merge tool. I am doing the merge info. by eye by looking on the blue page. I like solving the puzzle. Without the blue page or a merge tool, it would be next to impossible. Regardless, it's best to check me.

EdH 2022-09-28 12:30

Verified:[code]Running base 52:
52^5:i33 merges with 5208:i6
52^37:i369 merges with 7044:i129
52^39:i1221 merges with 27450:i52
52^41:i604 merges with 2712:i10[/code]

gd_barnes 2022-09-28 13:43

99^6 was advanced to 115 digits.

I did a final detailed check of all of the pages looking for unreserved sequences having not been tested to 100 digits. I found this one final one that was previously at 98/91. Now I think everything is at >=100 digits.

Reserving 14^61 to ~125 digits.

This is a strange one that I found while doing the above. It was at 112/98. (I've now advanced it to 116 digits.) All of the smaller bases had been advanced long ago by Yoyo and others to >= 140 digits. This one reached 142 at one point, dropped to 83, and then was moved back to 112. My guess is that Yoyo released it at 140-142 somewhere but someone else happened to catch the down-driver shortly after that. Once it was lost, it was a lot of work to move it back to where it was.

Perhaps Yoyo or someone else can take it again after I'm done and bring it back to 140 digits so it doesn't stand out from the crowd. :-)

garambois 2022-09-28 19:07

The page has been completely updated, thanks to Karsten's new scripts, very quick to implement.
Thank you all for your help.
I had 6 FactorDB interruptions to make this complete update, with the sequences already built.
I hope I have not forgotten anything, please check.

[B]Added base : 828[/B]

Karsten's scripts give the sequences below as being at index 1 :
[CODE] 102 81 164 130
102 83 168 154
102 85 172 165
102 86 174 162
102 92 186 183
102 93 188 167
104 79 160 159
104 90 182 134
104 91 184 145
104 94 190 155
104 95 192 162
105 68 138 135
105 81 164 160
105 86 174 174
105 90 182 156
105 91 185 142
105 92 187 149
105 93 189 179
105 94 191 162
105 95 193 147
1058 53 161 145
1152 51 157 152
1155 51 157 148
119 80 166 157
119 88 183 166
119 94 195 181
120 69 144 134
120 73 153 149
120 80 167 163
120 83 174 163
120 84 176 149
120 85 178 158
120 87 182 145
120 90 188 166
120 91 190 153
120 95 198 182
12496 37 152 148
1352 52 163 154
137 89 189 145
14264 40 167 159
14288 39 163 145
14316 39 163 148
14316 40 167 152
15015 38 159 146
162 83 184 132
162 85 189 183
162 86 191 156
162 87 193 166
162 89 197 167
162 90 200 184
173 83 184 162
18 135 170 164
193 83 188 176
20 122 159 150
20 124 162 145
200 73 169 159
200 75 173 156
200 77 178 154
200 78 180 145
210 61 143 133
210 66 154 143
210 69 161 131
210 73 171 150
210 77 180 147
210 78 182 179
22 123 166 149
220 75 176 166
220 78 183 143
220 80 188 170
229 79 185 181
231 65 154 142
231 67 159 150
231 69 164 160
231 76 180 164
24 111 154 149
24 119 165 143
24 120 166 151
24 121 168 130
24 125 173 135
26 116 165 157
26 119 169 149
26 120 170 154
276 59 145 142
276 61 150 133
276 64 157 149
276 65 159 154
276 67 164 147
276 69 169 157
28 113 164 157
28 114 166 150
28 116 168 152
284 69 170 150
30 110 163 150
30 119 177 134
30 120 178 156
31704 35 158 141
31704 38 172 171
31704 39 176 153
33 98 149 147
33 105 160 134
33 106 161 150
33 109 166 143
34 104 160 154
34 107 164 161
35 98 151 150
38 104 165 144
385 62 161 142
39 99 158 152
39 106 169 160
392 64 167 159
392 65 169 166
396 62 162 155
40 98 158 146
40 103 166 146
40 106 170 150
40 107 172 152
45 98 162 145
46 96 160 148
46 97 162 146
48 96 162 135
51 92 157 148
52 91 157 151
52 95 164 145
54 99 172 163
55 94 164 150
552 59 163 147
56 91 160 153
56 97 170 150
56 98 172 154
57 95 167 161
57 100 176 154
60 87 156 149
60 96 172 163
60 100 179 151
62 89 160 154
62 92 165 151
62 96 173 158
63 97 175 150
63 98 177 130
6469693230 16 158 156
6469693230 18 178 166
65 89 161 155
65 98 178 153
66 93 170 132
660 53 150 128
660 55 156 142
68 92 169 161
68 97 178 170
68 99 182 157
68 100 184 170
69 90 166 134
69 91 168 151
69 97 179 177
696 54 154 144
696 56 160 135
696 59 169 160
696 60 171 152
70 81 150 149
70 89 165 162
72 91 170 137
72 98 183 178
720 49 141 134
74 85 159 147
74 89 167 132
74 90 169 151
74 91 171 135
74 97 182 169
74 98 184 178
75 86 162 154
75 92 173 156
75 96 180 153
76 85 160 154
76 95 179 173
76 97 183 141
76 98 185 146
77 80 151 145
77 89 168 163
77 90 170 156
77 97 183 175
78 89 169 161
78 91 173 167
78 94 179 171
78 96 182 166
78 97 184 170
78 98 186 184
78 99 188 176
780 53 154 145
780 58 169 162
780 60 175 149
80 88 168 151
80 92 176 159
80 95 181 152
80 96 183 143
82 93 179 151
82 97 186 146
82 98 188 155
828 55 161 143
828 56 164 146
84 83 161 149
84 89 172 162
84 92 178 132
84 94 182 178
84 100 193 158
85 82 158 154
85 85 164 134
85 96 185 158
85 99 191 135
8589869056 19 189 162
8589869056 20 199 168
86 77 149 142
86 80 155 150
86 87 169 131
86 90 175 132
86 95 184 178
86 96 186 166
86 98 190 160
86 99 192 189
87 76 148 142
87 83 161 153
87 94 183 160
87 95 184 147
87 96 186 176
87 99 192 142
87 100 194 173
88 93 181 149
88 95 185 167
88 96 187 158
88 97 189 131
882 55 163 156
882 57 169 141
882 59 175 168
90 89 175 172
90 92 181 160
90 93 183 149
90 95 187 163
90 96 189 132
91 91 178 169
91 93 182 153
91 95 186 165
91 96 188 163
91 97 190 175
92 86 169 149
92 94 185 174
92 95 187 170
92 97 191 182
92 98 193 155
92 99 195 151
93 82 162 158
93 86 170 149
93 93 183 162
93 96 189 157
93 99 195 154
94 83 164 157
94 84 166 150
94 91 180 172
94 92 182 170
94 96 190 167
94 97 192 164
94 99 196 164
94 100 198 156
95 76 150 146
95 78 154 151
95 90 178 153
95 94 186 186
95 96 190 175
95 99 196 180
96 77 153 146
96 81 161 153
96 84 167 155
96 86 171 166
96 94 187 181
96 97 193 180
96 98 195 170
96 99 197 179
96 100 199 149
966 52 156 149
966 54 162 153
966 59 177 166
98 98 196 179
99 78 156 131
99 82 164 153
99 86 172 170
99 92 184 134
99 94 188 157
99 98 196 178
99 99 198 181
[/CODE]

EdH 2022-09-28 20:45

Hmm, I seem to have a few more in my list and three in your list have since moved past index 1.. I'll do some more comparison. It may be because I've included all the pending bases as well. I'd rather have a couple extra than miss some.

Thanks for all the updating. I'll update both of the other threads later today.

chalsall 2022-09-28 20:54

[QUOTE=EdH;614457]Thanks for all the updating. I'll update both of the other threads later today.[/QUOTE]

Please forgive me for this. But take responsibility for the listening.

Normal is something to get away from. Serioously.

gd_barnes 2022-09-28 21:45

[QUOTE=EdH;614457]Hmm, I seem to have a few more in my list and three in your list have since moved past index 1.. I'll do some more comparison. It may be because I've included all the pending bases as well. I'd rather have a couple extra than miss some.

Thanks for all the updating. I'll update both of the other threads later today.[/QUOTE]
When I did the initial compare of Jean-Luc's vs. your list both shown in the index 1 thread, yours had the pending bases whereas his did not. When I added back those to his list and then removed what we had since moved past index 1, they matched. Hopefully that is what you will find.

EdH 2022-09-28 21:50

'Tis true. My list includes 882, 888, 996 and 1264460. Otherwise, all matches. It's good to check with a couple sources, though.

chalsall 2022-09-28 22:29

[QUOTE=EdH;614467]'Tis true. My list includes 882, 888, 996 and 1264460. Otherwise, all matches. It's good to check with a couple sources, though.[/QUOTE]

So... I currently have a few people saying to me "what the fsck are you doing...

[URL="https://www.youtube.com/watch?v=dLxpNiF0YKs"]Man on the Moon[/URL]. It can be useful being insane!

gd_barnes 2022-09-28 23:36

Thanks for the ton of updates Jean-Luc!

Releasing 14^61 at 125/122 full ECM. It went up quickly and so took less time than I expected. Hopefully Yoyo or someone will take it back to 140 digits in the near future.

VBCurtis 2022-09-29 08:58

[QUOTE=chalsall;614472]So... I currently have a few people saying to me "what the fsck are you doing...

[URL="https://www.youtube.com/watch?v=dLxpNiF0YKs"]Man on the Moon[/URL]. It can be useful being insane![/QUOTE]

I think you spelled "inane" incorrectly.


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