Aliquot sequences that start on the integer powers n^i

[gd_barnes]

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]

Verified:

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

[gd_barnes]

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]

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.

Added base : 828

Karsten's scripts give the sequences below as being at index 1 :

            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

[EdH]

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]

Originally Posted by EdH

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

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

Normal is something to get away from. Serioously.

[gd_barnes]

Originally Posted by EdH

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.

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]

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

[chalsall]

Originally Posted by EdH

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

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

Man on the Moon. It can be useful being insane!

[gd_barnes]

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]

Originally Posted by chalsall

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

Man on the Moon. It can be useful being insane!

I think you spelled "inane" incorrectly.