20220316, 21:33  #1 
"Ed Hall"
Dec 2009
Adirondack Mtns
4,691 Posts 
Some Somewhat Easier n^i Sequences Available for Termination
In the subproject Aliquot sequences that start on the integer powers n^i, there are some sequences that should terminate with a prime. This thread will list those with a current term that is less than 145 digits* and flagged as unreserved. These sequences are mostly above those of the main project, although some may drop into the main project on their way to termination.**
If you are interested in the excitement of terminating an Aliquot Sequence, although not guaranteed, these are pretty sure bets to do so. Note: For anyone, new or old that would like to automate some of their work, please look at the script in post 7 below. The script can be used with Aliqueit to convert the base^exponent value to its decimal and invoke Aliqueit to run the sequence and upload the results. Please visit the thread mentioned above and its associated page for more details. You may reserve the available sequences in this thread and see the current status on the project pages, as updates are applied. As an example of an available sequence, 281^55 is the smallest as of the latest full edit, and has a 132 digit term with a composite cofactor of only 115 digits. It is suggested that if you will take more than a day (or two) to terminate a sequence, you reserve it, so others don't duplicate your work. The following are the current reservations (but, also check the latest posts): Code:
Code:
35^107: 143/143 44^94: 144/142 88^78: 139/135 90^80: 143/136 281^55: 132/115 281^57: 136/133 281^59: 140/119 Here's a size sorted listing of the above: Code:
281^55: 132/115 281^57: 136/133 88^78: 139/135 281^59: 140/119 90^80: 143/136 35^107: 143/143 44^94: 144/142 ** Sequences of the type n^i where both n and i are either odd or even (matched parity) nearly always terminate. Also, sequences where n is double a perfect square nearly always terminate. On occasion one will merge with a sequence in the main project and become openended. The following are the terminated sequences that have not yet been updated in the tables. Many have unknown credit for termination (listed as A). If "The Terminator" would like credit, please claim it in this or the other thread: Code:
20^110: Prime  GDB 20^112: Prime  GDB 20^114: Prime  GDB 21^113: Prime  GDB 22^112: Prime  GDB 23^111: Prime  GDB 24^108: Prime  GDB 26^106: Prime  GDB 28^102: Prime  GDB 28^104: Prime  GDB 28^106: Prime  GDB 29^109: Prime  GDB 30^102: Prime  GDB 37^109: Prime  GDB 46^92: Prime  GDB 55^97: Prime  GDB 59^97: Prime  GDB 67^95: Prime  GDB 78^76: Prime  GDB 78^80: Prime  GDB 87^77: Prime  GDB 93^85: Prime  GDB 94^72: Prime  EDH 94^76: Prime  GDB 102^2: Prime  A 102^4: Prime  A 102^6: Prime  A 102^8: Prime  A 102^10: Prime  A 102^12: Prime  A 102^14: Prime  A 102^16: Prime  A 102^18: Prime  A 102^20: Prime  A 102^22: Prime  A 102^24: Prime  A 102^26: Prime  A 102^28: Prime  A 102^30: Prime  A 102^32: Prime  A 102^34: Prime  A 102^36: Prime  A 102^38: Prime  A 102^40: Prime  A 102^42: Prime  A 102^44: Prime  A 102^46: Prime  A 102^48: Prime  A 102^50: Prime  A 102^52: Prime  A 102^54: Prime  GDB 102^56: Prime  GDB 102^58: Prime  GDB 102^60: Prime  GDB 102^62: Prime  GDB 102^64: Prime  GDB 102^66: Prime  GDB 102^68: Prime  GDB 102^70: Prime  GDB 102^72: Prime  GDB 102^74: Prime  GDB 102^76: Prime  GDB 102^78: Prime  GDB 102^80: Prime  GDB 104^2: Prime  A 104^4: Prime  A 104^6: Prime  A 104^8: Prime  A 104^10: Prime  A 104^12: Prime  A 104^14: Prime  A 104^16: Prime  A 104^18: Prime  A 104^20: Prime  A 104^22: Prime  A 104^24: Prime  A 104^26: Prime  A 104^28: Prime  A 104^30: Prime  A 104^32: Prime  A 104^34: Prime  A 104^36: Prime  A 104^38: Prime  A 104^40: Prime  A 104^42: Prime  A 104^44: Prime  A 104^46: Prime  A 104^48: Prime  A 104^50: Prime  A 104^52: Prime  RFD 104^54: Prime  RFD 104^56: Prime  RFD 104^58: Prime  GDB 104^60: Prime  GDB 104^62: Prime  GDB 104^64: Prime  GDB 104^66: Prime  GDB 104^68: Prime  GDB 104^70: Prime  GDB 104^72: Prime  GDB 104^74: Prime  GDB 104^76: Prime  GDB 104^80: Prime  GDB 105^75: Prime  GDB 120^2: Prime  A 120^4: Prime  A 120^6: Prime  A 120^8: Prime  A 120^10: Prime  A 120^12: Prime  A 120^14: Prime  A 120^16: Prime  A 120^18: Prime  A 120^20: Prime  A 120^22: Prime  A 120^24: Prime  A 120^26: Prime  A 120^28: Prime  A 120^30: Prime  A 120^32: Prime  A 120^34: Prime  A 120^36: Prime  A 120^38: Prime  A 120^40: Prime  A 120^42: Prime  A 120^44: Prime  A 120^46: Prime  A 120^48: Prime  GDB 120^50: Prime  A 120^52: Prime  GDB 120^54: Prime  GDB 120^56: Prime  GDB 120^58: Prime  GDB 120^60: Prime  GDB 120^62: Prime  GDB 120^64: Prime  GDB 120^66: Prime  GDB 120^68: Prime  GDB 120^70: Prime  GDB 120^72: Prime  GDB 120^74: Prime  A 120^76: Prime  GDB 137^79: Prime  GDB 163^69: Prime  GDB 167^75: Prime  GDB 167^77: Prime  GDB 173^71: Prime  GDB 179^71: Prime  GDB 191^65: Prime  GDB 199^65: Prime  GDB 227^65: Prime  GDB 229^65: Prime  RCH 239^71: Prime  GDB 239^73: Prime  GDB 241^63: Prime  GDB 251^1: Prime  A 251^3: Prime  A 251^5: Prime  A 251^7: Prime  A 251^9: Prime  RFD 251^11: Prime  RFD 251^13: Prime  A 251^15: Prime  RFD 251^17: Prime  A 251^19: Prime  RFD 251^21: Prime  RFD 251^23: Prime  RFD 251^25: Prime  RFD 251^27: Prime  RFD 251^29: Prime  RFD 251^31: Prime  RFD 251^33: Prime  RFD 251^35: Prime  RFD 251^37: Prime  RFD 251^39: Prime  RFD 251^41: Prime  RFD 251^43: Prime  RFD 251^45: Prime  RFD 251^47: Prime  RFD 251^49: Prime  RFD 251^51: Prime  GDB 251^53: Prime  RFD 251^55: Prime  GDB 251^57: Prime  GDB 251^59: Prime  GDB 251^61: Prime  A 251^63: Prime  GDB 251^65: Prime  GDB 251^67: Prime  GDB 251^69: Prime  GDB 257^1: Prime  A 257^3: Prime  A 257^5: Prime  A 257^7: Prime  A 257^9: Prime  A 257^11: Prime  RFD 257^13: Prime  RFD 257^15: Prime  RFD 257^17: Prime  RFD 257^19: Prime  RFD 257^21: Prime  RFD 257^23: Prime  A 257^25: Prime  RFD 257^27: Prime  RFD 257^29: Prime  RFD 257^31: Prime  RFD 257^33: Prime  RFD 257^35: Prime  RFD 257^37: Prime  RFD 257^39: Prime  RFD 257^41: Prime  RFD 257^43: Prime  RFD 257^45: Prime  RFD 257^47: Prime  RFD 257^49: Prime  RFD 257^51: Prime  GDB 257^53: Prime  RFD 257^55: Prime  GDB 257^57: Prime  GDB 257^59: Prime  A 257^61: Prime  A 257^67: Prime  GDB 263^1: Prime  A 263^3: Prime  A 263^5: Prime  A 263^7: Prime  A 263^9: Prime  RFD 263^11: Prime  RFD 263^13: Prime  RFD 263^15: Prime  RFD 263^17: Prime  RFD 263^19: Prime  A 263^21: Prime  RFD 263^23: Prime  RFD 263^25: Prime  RFD 263^27: Prime  RFD 263^29: Prime  RFD 263^31: Prime  RFD 263^33: Prime  RFD 263^35: Prime  RFD 263^37: Prime  RFD 263^39: Prime  RFD 263^41: Prime  RFD 263^43: Prime  RFD 263^45: Prime  RFD 263^47: Prime  RFD 263^49: Prime  RFD 263^51: Prime  GDB 263^53: Prime  GDB 263^55: Prime  GDB 263^57: Prime  GDB 263^59: Prime  GDB 263^61: Prime  GDB 263^65: Prime  GDB 263^67: Prime  GDB 269^1: Prime  A 269^3: Prime  A 269^5: Prime  A 269^7: Prime  A 269^9: Prime  RFD 269^11: Prime  RFD 269^13: Prime  RFD 269^15: Prime  RFD 269^17: Prime  RFD 269^19: Prime  RFD 269^21: Prime  RFD 269^23: Prime  RFD 269^25: Prime  RFD 269^27: Prime  RFD 269^29: Prime  RFD 269^31: Prime  RFD 269^33: Prime  RFD 269^35: Prime  RFD 269^37: Prime  RFD 269^39: Prime  RFD 269^41: Prime  RFD 269^43: Prime  RFD 269^45: Prime  RFD 269^47: Prime  RFD 269^49: Prime  RFD 269^51: Prime  GDB 269^53: Prime  GDB 269^55: Prime  GDB 269^57: Prime  GDB 269^59: Prime  GDB 269^61: Prime  GDB 269^63: Prime  GDB 271^1: Prime  A 271^3: Prime  A 271^5: Prime  A 271^7: Prime  A 271^9: Prime  RFD 271^11: Prime  RFD 271^13: Prime  RFD 271^15: Prime  RFD 271^17: Prime  RFD 271^19: Prime  RFD 271^21: Prime  RFD 271^23: Prime  RFD 271^25: Prime  RFD 271^27: Prime  RFD 271^29: Prime  RFD 271^31: Prime  RFD 271^33: Prime  RFD 271^35: Prime  RFD 271^37: Prime  RFD 271^39: Prime  RFD 271^41: Prime  A 271^43: Prime  RFD 271^45: Prime  RFD 271^47: Prime  RFD 271^49: Prime  GDB 271^51: Prime  GDB 271^53: Prime  GDB 271^55: Prime  GDB 271^57: Prime  GDB 271^59: Prime  GDB 271^61: Prime  GDB 271^63: Prime  GDB 277^1: Prime  A 277^3: Prime  A 277^5: Prime  A 277^7: Prime  A 277^9: Prime  RFD 277^11: Prime  RFD 277^13: Prime  RFD 277^15: Prime  RFD 277^17: Prime  RFD 277^19: Prime  A 277^21: Prime  RFD 277^23: Prime  RFD 277^25: Prime  RFD 277^27: Prime  RFD 277^29: Prime  RFD 277^31: Prime  RFD 277^33: Prime  RFD 277^35: Prime  RFD 277^37: Prime  RFD 277^39: Prime  RFD 277^41: Prime  RFD 277^43: Prime  RFD 277^45: Prime  RFD 277^47: Prime  RFD 277^49: Prime  GDB 277^51: Prime  GDB 277^53: Prime  GDB 277^55: Prime  GDB 277^57: Prime  GDB 277^59: Prime  GDB 277^61: Prime  GDB 277^65: Prime  GDB 277^67: Prime  GDB 281^1: Prime  A 281^3: Prime  A 281^5: Prime  A 281^7: Prime  A 281^9: Prime  A 281^11: Prime  RFD 281^13: Prime  RFD 281^15: Prime  RFD 281^17: Prime  RFD 281^19: Prime  RFD 281^21: Prime  RFD 281^23: Prime  RFD 281^25: Prime  RFD 281^27: Prime  RFD 281^29: Prime  RFD 281^31: Prime  RFD 281^33: Prime  RFD 281^35: Prime  RFD 281^37: Prime  RFD 281^39: Prime  RFD 281^41: Prime  RFD 281^43: Prime  RFD 281^45: Prime  RFD 281^47: Prime  RFD 281^49: Prime  RFD 281^51: Prime  RFD 281^53: Prime  RFD 288^61: Prime  GDB 306^58: Prime  GDB 306^60: Prime  GDB 392^62: Prime  GDB 648^54: Prime  GDB 882^51: Prime  GDB 1184^46: Prime  GDB 1184^48: Prime  GDB 1184^50: Prime  GDB 1210^48: Prime  GDB 1352^1: Prime  A 1352^2: Prime  A 1352^3: Prime  A 1352^4: Prime  A 1352^5: Prime  A 1352^6: Prime  A 1352^7: Prime  A 1352^8: Prime  A 1352^9: Prime  A 1352^10: Prime  A 1352^11: Prime  A 1352^12: Prime  A 1352^13: Prime  A 1352^14: Prime  A 1352^15: Prime  A 1352^16: Prime  RCH 1352^17: Prime  A 1352^18: Prime  RCH 1352^19: Prime  RCH 1352^20: Prime  RCH 1352^21: Prime  RCH 1352^22: Prime  RCH 1352^23: Prime  RCH 1352^24: Prime  RCH 1352^25: Prime  RCH 1352^26: Prime  RCH 1352^27: Prime  RCH 1352^28: Prime  RCH 1352^29: Prime  RCH 1352^30: Prime  RCH 1352^31: Prime  GDB 1352^32: Prime  GDB 1352^33: Prime  GDB 1352^34: Prime  GDB 1352^35: Prime  GDB 1352^36: Prime  GDB 1352^37: Prime  GDB 1352^38: Prime  GDB 1352^39: Prime  GDB 1352^40: Prime  GDB 1352^41: Prime  GDB 1352^42: Prime  GDB 1352^43: Prime  GDB 1352^44: Prime  GDB 1352^45: Prime  GDB 1352^46: Prime  GDB 1352^47: Prime  GDB 1352^48: Prime  GDB 1352^49: Prime  GDB 1352^50: Prime  EDH 1352^51: Prime  RCH 1352^53: Prime  GDB 14264^36: Prime  GDB 14288^36: Prime  GDB 131071^1: Prime  A 131071^3: Prime  A 131071^5: Prime  A 131071^7: Prime  A 131071^9: Prime  A 131071^11: Prime  A 131071^13: Prime  A 131071^15: Prime  RCH 131071^17: Prime  A 131071^19: Prime  A 131071^21: Prime  RCH 131071^23: Prime  RCH 131071^25: Prime  RCH 131071^27: Prime  RCH 131071^29: Prime  RCH 131071^31: Prime  GDB 131071^37: Prime  GDB 524287^1: Prime  A 524287^3: Prime  A 524287^5: Prime  A 524287^7: Prime  A 524287^9: Prime  A 524287^11: Prime  A 524287^13: Prime  A 524287^15: Prime  GDB 524287^17: Prime  A 524287^19: Prime  GDB 524287^21: Prime  GDB 524287^23: Prime  A 524287^25: Prime  GDB 524287^27: Prime  GDB 524287^29: Prime  GDB 524287^31: Prime  GDB 9699690^22: Prime  GDB 2147483647^1: Prime  A 2147483647^3: Prime  A 2147483647^5: Prime  A 2147483647^7: Prime  A 2147483647^9: Prime  GDB 2147483647^11: Prime  GDB 2147483647^13: Prime  GDB 2147483647^15: Prime  GDB 2147483647^17: Prime  GDB 2147483647^19: Prime  GDB Last fiddled with by EdH on 20220809 at 02:23 Reason: Updates 
20220316, 23:55  #2 
Sep 2008
Kansas
E35_{16} Posts 
I went through some of my recent initializations and found a few that might be worthy to elevate into the first post.
Code:
84^66: 128/104 84^68: 132/116 84^70: 136/119 86^66: 128/115 86^68: 131/128 86^70: 136/122 90^68: 134/129 91^65: 127/120 91^67: 131/107 91^69: 135/122 92^62: 122/94 92^64: 126/115 92^66: 130/113 92^68: 134/99 93^65: 128/101 93^67: 131/103 93^69: 136/108 95^63: 124/116 95^65: 129/100 95^67: 133/119 95^69: 136/124 96^66: 132/118 96^68: 136/128 
20220317, 00:20  #3 
"Ed Hall"
Dec 2009
Adirondack Mtns
4,691 Posts 
Thanks Rich,
I hadn't planned to make this a new source, but maybe that would work. I'll try to keep up with new available sequences, at least for now. If we can get some more interest, the newcomers can also initialize some bases and work both terminations and openended, too. 
20220317, 02:35  #4 
"Curtis"
Feb 2005
Riverside, CA
2^{2}·3^{2}·149 Posts 
I'll help with administration on this thread updating post 1 with reservations, etc.

20220317, 12:32  #5 
"Oliver"
Sep 2017
Porta Westfalica, DE
2·541 Posts 
If appropriate, I would like to take these:
Code:
3^333: 134/123 84^70: 136/119 86^70: 136/122 90^68: 134/129 91^69: 135/122 92^68: 134/99 93^69: 136/108 95^69: 136/124 96^68: 136/128 
20220317, 14:07  #6 
"Ed Hall"
Dec 2009
Adirondack Mtns
4,691 Posts 
Perhaps we should discuss which direction to take this thread, and how to minimize confusion with the main thread.
My initial vision was to have a few smaller sequences available to introduce newcomers to the project at a level they could work with a single machine. As it now looks, we could create a large set of available sequences, much larger than my original thoughts. This could easily spiral into a mass of confusion for us. We need to keep this coordinated with JeanLuc and not task him too heavily. We need also to consider yoyo in this, since he'll be needing <140 work for his hungry project. Let's step back momentarily to prioritize project goals. We'll need JeanLuc to help with this. Advancing the tables is going to be more intensive due to how fast the terms now get large. How does table advancement, vs. same parity termination, vs. new table additions work toward the goals that provide the data for the questions that drive this project? My proposals, for now:  We hold only a very few to attract newcomers and see if we do. (we need to decide how few, etc.)  We should go ahead and terminate the rest among ourselves as we would normally do.   kruoli has asked for some. I'm OK with that and they aren't reserved in the tables, but I would also like input from RichD, since he provided the bulk of them.*   VBCurtis also expressed interest in the ones I'm bringing below 140 digits. Let's go ahead and let our members reserve and work these as we have been.*  I'm hesitant due to workload and confusion, but we may want to use the first post as a reference to smaller, same parity, available sequences. I would accept all help in that upkeep, but again, I'd like to minimize confusion with the main thread and JeanLuc, so the table workings don't get too complicated. Keeping up with reservations could become duplication of effort and confusion if it isn't timely. * We still need to use the other thread for reservations so the tables get updated and I'll move any reservation posts from this one over once we've discussed this a little more. We could be more timely showing reservation status here, but would it conflict with those on the main table pages? All comments welcome. . . 
20220317, 14:51  #7 
"Oliver"
Sep 2017
Porta Westfalica, DE
2·541 Posts 
If we want to attract new personnel, I would suggest we take their hand a bit (at least give the possibility) and give some guiding on how to execute this work. For example, I prepared a small script for this thread:
Code:
export BC_LINE_LENGTH=0; # disable line breaks in bc bc < list.txt > list.bc; line_count_input=$(wc l < list.bc); base_dir=../terminations; rm f *.log siqs.dat nfs.*; for i in $(seq 1 $line_count_input); do number=$(sed "${i}q;d" list.bc); # use this instead of read line (etc.) to prevent a misdeteciton of file redirection in YAFU, which would enter batch mode and cause problems alq_file=alq_${number}.elf; wget O $alq_file "http://factordb.com/elf.php?seq=${number}&type=1"; line_count_elf=$(wc l < $alq_file); ./aliqueit y $number  tee execution.log; # use tee to see the progress while still logging to a file ./aliqueit s $(($line_count_elf1)) $number > upload.log; # maybe check if upload limit was reached here dir=$base_dir/$(sed "${i}q;d" list.txt); mkdir $dir; mv t $dir aliqueit.log execution.log upload.log $alq_file; done; We could add links to threads (e.g. EdH's) on how to set up and compile YAFU(2) and aliqueit. As an aside, how do you pronounce aliqueit? Like ahleekweet? Last fiddled with by kruoli on 20220317 at 14:56 Reason: Fixed a typo. 
20220317, 15:43  #8  
"Ed Hall"
Dec 2009
Adirondack Mtns
4,691 Posts 
Quote:
My pronunciation, which is actually rarely vocal, is more ahlehcueit, but the ah still isn't quite right. I don't know the author's version. 

20220317, 16:36  #9 
Sep 2008
Kansas
3,637 Posts 
Perhaps it is I that has the misunderstanding. For a newbie to look at the main status table is a bit overwhelming. For the rest of us that grew up with it, it is easy to understand.
I mostly do initialization work. Take sequences up to C100. If they start bigger, I take the (expected) terminating ones from C118C120 to termination. I leave several in the C120C140 range and above. 
20220317, 18:44  #10 
"Garambois JeanLuc"
Oct 2011
France
2·463 Posts 
Thank you very much Edwin for taking care of this and thank you very much to all the other people who are taking part in this new venture concerning n^i sequences with n and i of the same parity (matched parity) and with i large enough to require a good computing power.
I don't know at the moment if I have a role to play in this thread ? I think the easiest way to avoid any confusion is indeed for you to let me know about your reservations on the main project thread, that's what I understand ? Then I will update the project page according to these reservations. 
20220317, 22:24  #11 
Sep 2008
Kansas
3,637 Posts 
My (two cents) thoughts are, we would have a list of terminating candidates in post #1. People would speak up here to reserve a few. No need to flag them in post #1, simply remove them from the availability list. As more are spotted they can be added. We should never deplete the list, always leave a few.
Since the termination runs usually last less than a day (or so), no need to flag them here. As they complete they should be reported in the main thread for proper credit. This thread is for add and subtract. More thoughts welcome. 
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