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Old 2022-09-17, 14:09   #1
EdH
 
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"Ed Hall"
Dec 2009
Adirondack Mtns

132716 Posts
Default Index 1 Sequence Work for the "n^i" Aliquot Project

This thread will list sequences which are open at index 1, of interest to the Aliquot sequences that start on the integer powers n^i thread. I will attempt to keep this list updated by removing those that have moved past index 1 and for any additional bases added to the tables.

The original list contained 747 entries. The current list has 233:
Code:
18^135: 170/164
20^122: 159/150
20^124: 162/145
22^123: 166/149
24^111: 154/149
24^120: 166/151
26^116: 165/157
26^119: 169/149
26^120: 170/154
28^113: 164/157
28^114: 166/150
28^116: 168/152
30^110: 163/150
30^119: 177/134
30^120: 178/156
33^98: 149/147
33^105: 160/134
33^106: 161/150
34^104: 160/154
34^107: 164/161
35^98: 151/150
39^99: 158/152
39^106: 169/160
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
51^92: 157/148
52^91: 157/151
52^95: 164/145
54^99: 172/163
55^94: 164/150
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
65^89: 161/155
65^98: 178/153
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
70^89: 165/162 *
72^98: 183/178 *
74^85: 159/147
74^90: 169/151
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 *
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 *
78^97: 184/170 *
78^98: 186/184 *
78^99: 188/176 *
80^88: 168/151
80^92: 176/159
80^95: 181/152
82^93: 179/151
82^97: 186/146
82^98: 188/155
84^83: 161/149
84^89: 172/162
84^94: 182/178
84^100: 193/158
85^82: 158/154
85^85: 164/134
85^96: 185/158
86^80: 155/150
86^95: 184/178
86^96: 186/166
86^98: 190/160
86^99: 192/189
87^83: 161/153
87^94: 183/160
87^95: 184/147
87^96: 186/176
87^100: 194/173
88^93: 181/149
88^95: 185/167
88^96: 187/158
90^89: 175/172
90^92: 181/160
90^93: 183/149
90^95: 187/163
91^91: 178/169
91^93: 182/153
91^95: 186/165
91^96: 188/163
91^97: 190/175
92^86: 169/149
92^95: 187/170
92^97: 191/182
92^98: 193/155
92^99: 195/151
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
98^98: 196/179
99^82: 164/153
99^86: 172/170
99^92: 184/134
99^94: 188/157
99^98: 196/178
99^99: 198/181
102^85: 172/165
102^86: 174/162
102^92: 186/183
104^90: 182/134
104^91: 184/145
104^94: 190/155
104^95: 192/162
105^81: 164/160
105^86: 174/174
105^90: 182/156
105^93: 189/142
105^94: 191/162
105^95: 193/147
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
120^85: 178/158
120^87: 182/145
120^90: 188/166
120^91: 190/153
120^95: 198/182
137^89: 189/145
162^85: 189/183
162^86: 191/156
162^87: 193/166
162^89: 197/167
162^90: 200/184
173^83: 184/162
193^83: 188/176
200^73: 169/159
200^77: 178/154
200^78: 180/145
210^66: 154/143
210^73: 171/150
210^77: 180/147
210^78: 182/179
220^75: 176/166
220^80: 188/170
229^79: 185/181
231^67: 159/150
231^69: 164/160
231^76: 180/164
276^64: 157/149
276^65: 159/154
276^67: 164/147
276^69: 169/157
284^69: 170/150
392^64: 167/159
392^65: 169/166
396^62: 162/155
552^59: 163/147
696^54: 154/144
696^60: 171/152
780^53: 154/145
780^58: 169/162
780^60: 175/149
882^55: 163/156
882^59: 175/168
888^59: 175/159
888^60: 178/165
966^52: 156/149
966^54: 162/153
996^49: 148/145
996^54: 163/146
996^59: 178/164
1058^53: 161/145
1155^51: 157/148
1352^52: 163/154
12496^37: 152/148
14264^40: 167/159
14288^39: 163/145
14316^40: 167/152
31704^38: 172/171
31704^39: 176/153
1264460^26: 159/146
6469693230^16: 158/156
6469693230^18: 178/166
8589869056^19: 189/162
8589869056^20: 199/168
An * means the sequence is reserved.

Here's a listing sorted solely by cofactor size:
Code:
30^119: 177/134
33^105: 160/134
69^90: 166/134
85^85: 164/134
99^92: 184/134
104^90: 182/134
120^69: 144/134
105^93: 189/142
210^66: 154/143
696^54: 154/144
20^124: 162/145
45^98: 162/145
52^95: 164/145
77^80: 151/145
104^91: 184/145
120^87: 182/145
137^89: 189/145
200^78: 180/145
780^53: 154/145
996^49: 148/145
1058^53: 161/145
14288^39: 163/145
40^98: 158/146
40^103: 166/146
46^97: 162/146
82^97: 186/146
95^76: 150/146
96^77: 153/146
996^54: 163/146
1264460^26: 159/146
33^98: 149/147
74^85: 159/147
87^95: 184/147
105^95: 193/147
210^77: 180/147
276^67: 164/147
552^59: 163/147
46^96: 160/148
51^92: 157/148
1155^51: 157/148
12496^37: 152/148
22^123: 166/149
24^111: 154/149
26^119: 169/149
60^87: 156/149
84^83: 161/149
88^93: 181/149
90^93: 183/149
92^86: 169/149
96^100: 199/149
120^73: 153/149
276^64: 157/149
780^60: 175/149
966^52: 156/149
20^122: 159/150
28^114: 166/150
30^110: 163/150
33^106: 161/150
35^98: 151/150
40^106: 170/150
55^94: 164/150
56^97: 170/150
63^97: 175/150
86^80: 155/150
94^84: 166/150
210^73: 171/150
231^67: 159/150
284^69: 170/150
24^120: 166/151
52^91: 157/151
60^100: 179/151
62^92: 165/151
69^91: 168/151
74^90: 169/151
80^88: 168/151
82^93: 179/151
92^99: 195/151
95^78: 154/151
28^116: 168/152
39^99: 158/152
40^107: 172/152
80^95: 181/152
696^60: 171/152
14316^40: 167/152
56^91: 160/153
65^98: 178/153
75^96: 180/153
87^83: 161/153
91^93: 182/153
95^90: 178/153
96^81: 161/153
99^82: 164/153
120^91: 190/153
966^54: 162/153
31704^39: 176/153
26^120: 170/154
34^104: 160/154
56^98: 172/154
57^100: 176/154
62^89: 160/154
75^86: 162/154
76^85: 160/154 *
85^82: 158/154
93^99: 195/154
200^77: 178/154
276^65: 159/154
1352^52: 163/154
65^89: 161/155
82^98: 188/155
92^98: 193/155
96^84: 167/155
104^94: 190/155
396^62: 162/155
30^120: 178/156
75^92: 173/156
77^90: 170/156
94^100: 198/156
105^90: 182/156
162^86: 191/156
882^55: 163/156
6469693230^16: 158/156
26^116: 165/157
28^113: 164/157
68^99: 182/157
93^96: 189/157
94^83: 164/157
99^94: 188/157
119^80: 166/157
276^69: 169/157
62^96: 173/158
84^100: 193/158
85^96: 185/158
88^96: 187/158
120^85: 178/158
80^92: 176/159
200^73: 169/159
392^64: 167/159
888^59: 175/159
14264^40: 167/159
39^106: 169/160
86^98: 190/160
87^94: 183/160
90^92: 181/160
105^81: 164/160
231^69: 164/160
34^107: 164/161
57^95: 167/161
68^92: 169/161
78^89: 169/161 *
70^89: 165/162 *
84^89: 172/162
93^93: 183/162
102^86: 174/162
104^95: 192/162
105^94: 191/162
173^83: 184/162
780^58: 169/162
8589869056^19: 189/162
54^99: 172/163
60^96: 172/163
77^89: 168/163
90^95: 187/163
91^96: 188/163
120^80: 167/163
120^83: 174/163
18^135: 170/164
94^97: 192/164
94^99: 196/164
231^76: 180/164
996^59: 178/164
91^95: 186/165
102^85: 172/165
888^60: 178/165
86^96: 186/166
96^86: 171/166
119^88: 183/166
120^90: 188/166
162^87: 193/166
220^75: 176/166
392^65: 169/166
6469693230^18: 178/166
78^91: 173/167 *
88^95: 185/167
94^96: 190/167
162^89: 197/167
882^59: 175/168
8589869056^20: 199/168
74^97: 182/169
91^91: 178/169
68^97: 178/170
68^100: 184/170
78^97: 184/170 *
92^95: 187/170
94^92: 182/170
96^98: 195/170
99^86: 172/170
220^80: 188/170
78^94: 179/171 *
31704^38: 172/171
90^89: 175/172
94^91: 180/172
76^95: 179/173 *
87^100: 194/173
105^86: 174/174
77^97: 183/175
91^97: 190/175
95^96: 190/175
78^99: 188/176 *
87^96: 186/176
193^83: 188/176
69^97: 179/177
72^98: 183/178 *
74^98: 184/178
84^94: 182/178
86^95: 184/178
99^98: 196/178
96^99: 197/179
98^98: 196/179
210^78: 182/179
95^99: 196/180
96^97: 193/180
96^94: 187/181
99^99: 198/181
119^94: 195/181
229^79: 185/181
92^97: 191/182
120^95: 198/182
102^92: 186/183
162^85: 189/183
78^98: 186/184 *
162^90: 200/184
95^94: 186/186
86^99: 192/189

Last fiddled with by EdH on 2022-10-01 at 12:08 Reason: Ongoing updates to this list.
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Old 2022-09-18, 11:24   #2
kar_bon
 
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Mar 2006
Germany

13×229 Posts
Default

Here's a list of seqs where only index 1 exists unfactored (not all current bases included, I got not all data of them right now) sorted by digit-length of unfactored part.

Code:
           base  n    digits    last unfacored part
             34 105   161   110  2 * 5^3 * 24337 * 271501 * 26924428544021<14> * 92008502963553099400264483<26> * 1755843760...13<110>
            120  63   132   115  2^13 * 3^2 * 5 * 61 * 34157 * 225601 * 1545247900...69<115>
             24  97   135   115  2^2 * 3 * 29 * 199757004571921649<18> * 2184938316...53<115>
            120  59   124   117  2^5 * 3^3 * 5^2 * 89 * 6717109883...47<117>
             40  93   150   121  2 * 5^2 * 330976988302517290350862631<27> * 8890018165...01<121>
             33 102   155   123  2^5 * 5 * 7 * 17 * 103 * 2371 * 408263 * 117101917 * 555782489 * 4069027405...63<123>
             34 103   158   124  2^3 * 17 * 3299 * 58235400281779469774089675573<29> * 2378880842...93<124>
              6 207   162   125  2^5 * 3 * 47 * 71 * 46769 * 2446357 * 239072218310985716299<21> * 2727120672...71<125>
             24  95   132   127  2^6 * 3 * 191 * 7190570725...73<127>
            220  76   179   131  3 * 37 * 196279 * 67633937857<11> * 214459095879211<15> * 4799858808865997<16> * 1219627949...57<131>
             44 100   165   131  3^2 * 5^2 * 23 * 101 * 32193812086790437631591111071<29> * 1579227732...87<131>
            120  69   144   134  2^3 * 3^2 * 5 * 87957781 * 2525003043...17<134>
             33 105   160   134  3 * 421 * 36045147435185766110239<23> * 3968504590...63<134>
             40 102   164   134  3^2 * 7 * 41 * 103 * 5048627 * 314281766178184019<18> * 9136003830...01<134>
             44  95   157   135  2^6 * 71 * 84651443 * 21539843947<11> * 1944779067...37<135>
             48  96   162   135  5^2 * 7 * 13 * 17 * 97 * 193 * 769 * 2240847267821093<16> * 4018748438...97<135>
            120  67   140   136  2^5 * 3^2 * 5 * 11 * 3505266172...51<136>
             34 108   166   136  3^4 * 5 * 7^2 * 11 * 13 * 19 * 37 * 109 * 24677 * 82427907020617<14> * 6384692207...19<136>
             33 107   163   137  3^4 * 89 * 1439 * 132913999 * 36989255297<11> * 3857649728...71<137>
             15 138   163   140  2 * 7 * 19 * 47 * 73 * 139 * 730752899295673<15> * 1885880199...29<140>
             44  85   140   140  2^2 * 1481149021...67<140>
             33 108   164   140  2^5 * 7 * 13 * 19 * 37 * 109 * 5616915816027937<16> * 5180214640...51<140>
             38 108   171   140  3^3 * 5 * 7 * 13 * 37 * 73 * 109 * 463 * 2295981521<10> * 10194514709<11> * 1172583411...77<140>
             38  99   157   141  2^3 * 28702903 * 61812479 * 1959934618...63<141>
             44  87   144   141  2^4 * 7^2 * 1463012503...63<141>
             15 130   153   142  2 * 7 * 11 * 131 * 239 * 52453 * 2697189625...61<142>
             45 100   166   142  2^2 * 11 * 41 * 101 * 1889593228067850677<19> * 5325166603...57<142>
             48  99   167   142  2^3 * 13 * 23 * 15750739 * 747779965444163<15> * 1968233231...77<142>
              6 189   148   143  2^2 * 3 * 3697 * 5303781468...79<143>
             33 109   166   143  3 * 11^3 * 21743882030832718199<20> * 2467723006...41<143>
             48  95   161   144  2^6 * 11 * 83 * 191 * 7488935269<10> * 1249808145...51<144>
             42  99   162   144  2^7 * 3 * 43 * 5179 * 16369 * 225263 * 3988982717...87<144>
             35 105   162   144  31 * 349 * 49081 * 57881 * 76651 * 2607184262...97<144>
             38 104   165   144  5 * 17^2 * 53 * 13745578568661659<17> * 2093846293...17<144>
             45  98   162   145  2 * 29 * 6310812936808511<16> * 2473552328...97<145>
             46  97   162   146  2^3 * 13 * 77001190768501<14> * 2640994236...69<146>
             40 103   166   146  2^3 * 3185298850077608111<19> * 6053829621...51<146>
             40  98   158   146  3 * 2609 * 30219437 * 6369256022...23<146>
             33  98   149   147  2^7 * 3311841127...71<147>
            220  70   165   147  3 * 71 * 2113 * 49019 * 11511961 * 6424404073...31<147>
            220  65   153   148  2^3 * 131 * 239 * 1264017592...71<148>
             46  96   160   148  3^3 * 5 * 7 * 13 * 17^3 * 97 * 193 * 4069016342...43<148>
            120  73   153   149  2^3 * 3^2 * 5^2 * 9210668463...61<149>
             35  98   151   150  2 * 29 * 1645969548...99<150>
             33 106   161   150  2^6 * 107 * 9203969 * 9459149398...01<150>
             40 106   170   150  3 * 59 * 107 * 1997 * 2929612792817<13> * 8910560176...27<150>
             12 145   157   151  2^2 * 11 * 59 * 401 * 5819177598...31<151>
             48  93   157   151  2^2 * 13 * 21149 * 4122606567...57<151>
             40 107   172   152  2^2 * 33653625670800050957<20> * 2933718773...31<152>
            220  67   158   152  2^5 * 41777 * 1146226474...39<152>
             39  99   158   152  23 * 31 * 313 * 9175764223...89<152>
              6 209   163   154  2^2 * 3^2 * 23 * 59 * 199 * 379 * 2334891429...43<154>
            220  69   162   154  2^3 * 5 * 11 * 139 * 4229 * 2867463269...31<154>
             34 104   160   154  3 * 5 * 53 * 353 * 7530400262...01<154>
             44  99   163   159  2^3 * 7^2 * 19 * 8108799278...27<159>
             48  97   164   160  2^2 * 2129 * 2826144531...91<160>
             34 107   164   161  2^2 * 491 * 4229170191...79<161>
            220  78   183   162  3^2 * 7 * 79 * 151 * 11369 * 564511026839<12> * 1856384222...77<162>
            120  80   167   163  11 * 17 * 41 * 7748308687...93<163>
            220  73   172   163  2^3 * 3659 * 17257 * 3439347463...77<163>
            220  77   181   166  2^3 * 29 * 1765990895203<13> * 9933631079...21<166>
            220  75   176   166  2^5 * 151 * 10573061 * 1645930325...41<166>
            220  79   186   181  2^9 * 5 * 11 * 6995152439...81<181>
            220  80   188   185  3 * 17 * 41 * 2072518813...21<185>
@garambois
Replace the line
Code:
     if ($3==1)								# index only 1
as if-statement in the file "make_easy.awk" and run it again.
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Old 2022-09-18, 19:07   #3
garambois
 
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"Garambois Jean-Luc"
Oct 2011
France

32×109 Posts
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Here is the list proposed by Karsten (thanks to him) obtained with the updated files of seqs where only index 1 exists unfactored sorted by bases (There are so many of them !) :

Code:
           Base exp  digits cofactor size
             10 149   150   149 
             10 157   158   149 
            102  65   131   112 
            102  73   147   125 
            102  77   156   120 
            102  81   164   130 
            102  82   166   128 
            102  83   168   154 
            102  85   172   165 
            102  86   174   162 
            102  91   184   170 
            102  92   186   183 
            102  93   188   182 
            102  95   192   173 
            104  67   136   110 
            104  71   144   115 
            104  79   160   159 
            104  84   170   137 
            104  90   182   134 
            104  91   184   163 
            104  93   188   186 
            104  94   190   184 
            104  95   192   162 
            105  58   118   110 
            105  64   130   118 
            105  68   138   135 
            105  70   142   132 
            105  72   146   118 
            105  74   150   146 
            105  78   158   140 
            105  80   162   106 
            105  81   164   160 
            105  82   166   130 
            105  86   174   174 
            105  88   178   161 
            105  90   182   171 
            105  91   185   142 
            105  92   187   183 
            105  93   189   179 
            105  94   191   162 
            105  95   193   159 
           1058  53   161   145 
           1058  55   167   138 
           1152  51   157   152 
           1152  55   169   138 
           1155  51   157   148 
           1155  52   160   127 
           1155  54   166   121 
           1184  51   157   121 
           1184  55   170   120 
            119  62   129   121 
            119  64   133   118 
            119  68   141   105 
            119  70   145   140 
            119  72   149   136 
            119  74   153   143 
            119  78   162   157 
            119  80   166   157 
            119  84   174   157 
            119  86   178   173 
            119  88   183   178 
            119  90   187   178 
            119  91   189   167 
            119  92   191   185 
            119  94   195   181 
             12 145   157   151 
            120  59   124   117 
            120  63   132   115 
            120  67   140   136 
            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   158 
            120  89   186   165 
            120  90   188   183 
            120  91   190   176 
            120  92   192   151 
            120  93   194   175 
            120  94   196   184 
            120  95   198   182 
           1210  49   152   112 
           1210  53   164   114 
          12496  29   119   114 
          12496  37   152   148 
           1352  52   163   154 
            137  89   189   145 
          14264  39   163   138 
          14264  40   167   159 
          14288  31   129   113 
          14288  39   163   145 
          14288  40   167   159 
          14316  37   155   117 
          14316  39   163   148 
          14316  40   167   152 
             15 130   153   142 
             15 138   163   140 
          15015  32   134   115 
          15015  36   151   115 
          15015  38   159   146 
          15015  40   168   114 
          15472  27   114   110 
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Last fiddled with by garambois on 2022-09-18 at 19:10
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Old 2022-09-18, 19:38   #4
EdH
 
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"Ed Hall"
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How much of a priority would you place in advancing the list to term 2? I hesitate to start a new thread for this endeavor, but it is a sub-project that has an actual end point. We brought very few new members into the fold with the other thread, so I would not present this in that manner.

The other thread is somewhat winding down, so a different direction with new possibilities may be appealing to some.

Thoughts from those of us that would do the factoring?
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Old 2022-09-18, 19:51   #5
VBCurtis
 
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New thread for this task seems good.
Just move garambois' post to its own thread, simple?
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Old 2022-09-19, 02:42   #6
gd_barnes
 
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Quote:
Originally Posted by garambois View Post
Here is the list proposed by Karsten (thanks to him) obtained with the updated files of seqs where only index 1 exists unfactored sorted by bases (There are so many of them !) :
<snip>
Quote:
Originally Posted by EdH View Post
How much of a priority would you place in advancing the list to term 2? I hesitate to start a new thread for this endeavor, but it is a sub-project that has an actual end point. We brought very few new members into the fold with the other thread, so I would not present this in that manner.

The other thread is somewhat winding down, so a different direction with new possibilities may be appealing to some.

Thoughts from those of us that would do the factoring?
I will be happy to work on some of these. I'd still need a couple days to finish up with some other stuff.

Quote:
Originally Posted by VBCurtis View Post
New thread for this task seems good.
Just move garambois' post to its own thread, simple?
I agree with this! A new thread for this new effort so that other routine statuses aren't overwhelmed in this thread. My thought is to move all relevant posts starting with Karsten's original post that initiated it.
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Old 2022-09-19, 03:22   #7
gd_barnes
 
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My effort in the other thread to work on all same-parity exponents with starting size > 185 digits will remove quite a few sequences from the list for the new index 1 effort. I'm done with the work but am currently in the process of adding everything to the FactorDB. I'll report in that thread when I'm done.

Also as I continue with the general initialization effort for medium to large size opposite-parity exponents for bases < 100 previously mentioned in this thread, more index 1's will be eliminated. As for the recent base 100-195 effort, there were next to zero index 1's there because most bases in that range are prime. For prime bases, the index is always >= 2 due to another factoring project.

It might make sense to run a new index 1 list sometime later on Monday.
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Old 2022-09-19, 13:53   #8
EdH
 
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Quote:
Originally Posted by gd_barnes View Post
. . .
It might make sense to run a new index 1 list sometime later on Monday.
If I'm to moderate the new thread, I'll try to use a script that checks the db and lists sequences in the same manner as the other thread. I'd prefer not to task others with providing the lists, but welcome any notes of error.
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Old 2022-09-19, 15:22   #9
EdH
 
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Quote:
Originally Posted by EdH View Post
. . ., but welcome any notes of error.
I would also welcome other notes: encouragement, praise, etc. as well as criticism.

When I initiate the other thread, I will move relevant posts from this one and continually edit the first as with the other thread. I believe the first post I will move (and begin editing) will be #1907.

@Karsten: If there's an objection with my modifications to your post, let me know.
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Old 2022-09-19, 15:28   #10
gd_barnes
 
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Quote:
Originally Posted by EdH View Post
If I'm to moderate the new thread, I'll try to use a script that checks the db and lists sequences in the same manner as the other thread. I'd prefer not to task others with providing the lists, but welcome any notes of error.
Quote:
Originally Posted by EdH View Post
I would also welcome other notes: encouragement, praise, etc. as well as criticism.

When I initiate the other thread, I will move relevant posts from this one and continually edit the first as with the other thread. I believe the first post I will move (and begin editing) will be #1907.
Sounds good to me.

Go Ed go! We know you can create that awesome list!

(Oh...maybe I'm getting a little excited too soon.)
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Old 2022-09-19, 15:37   #11
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I'm down to base 96 in my medium-large exponent opposite-parity initialization effort. With base 96 alone, I think something like 7-8 index 1's were eliminated as I entered them in the DB in the last hour. The bases with the extra-high exponents (starting size > 180 digits) will have many sequences ripe for elimination from index 1 because they are very unlikely to have ever been searched. Non-prime bases in the 90s and to a lesser extent in the 80s should be the most prolific in this regard.
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