mersenneforum.org Aliquot sequences that start on the integer powers n^i
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 2020-03-19, 07:21 #243 garambois     Oct 2011 111000102 Posts OK PFPoitras ! Thank you for your help !
 2020-03-26, 14:07 #244 richs     "Rich" Aug 2002 Benicia, California 100010000012 Posts I ran 439^22 up to 120 digits. No reservation.
 2020-03-28, 08:04 #245 garambois     Oct 2011 2×113 Posts Thank you richs ! I'm waiting for the end of the calculations for two recalcitrant aliquot sequences that will finish bases 11 and 82589933. Then, in a few days or at most one or two weeks, I will update the page !
 2020-03-28, 10:21 #246 gd_barnes     May 2007 Kansas; USA 1013110 Posts I have completed base 17 up to exponent 97 to >= 90 digits. All odd exponents are trivially terminated. Even exponents terminated: 17^2 17^12 17^16 17^24 17^48 17^64 Merges: 17^4 : 21 merges with 1632 : 37 17^6 : 1 merges with 967278 : 4 I may take this base up to >= 102 digits at some point in the future. No reservation.
 2020-03-28, 11:34 #247 LaurV Romulan Interpreter     Jun 2011 Thailand 854810 Posts I am recently arguing with 6^9, to which I put few hundred terms or so. It has no driver, and it is up-down-ing, hitting its head on the "resistance line" for a while now. Last fiddled with by LaurV on 2020-03-28 at 11:34
 2020-03-28, 11:58 #248 garambois     Oct 2011 2·113 Posts Thank you LaurV ! Thank you gd_barnes ! I will update and add base 17 very soon. That will give you time to continue the calculations. I have a suggestion for you : would you like to reserve base 17 completely and do the calculations up to 120 - 122 digits ? You've already started bases 14 and 15. And the calculations are not finished yet. Indeed, many bases have already been started and we are not many people to do the calculations up to 120 - 122 digits. And what takes a lot of calculation time, sometimes months, is to go from 110 digits to 120 digits. We all have a lot of fun starting a new base and carrying out the calculations of aliquot sequences that end trivially. On the other hand, the part of the work that consists in carrying out all the calculations of the Open-End sequences up to more than 120 digits is more thankless.
 2020-03-31, 01:54 #249 VBCurtis     "Curtis" Feb 2005 Riverside, CA 10000010111002 Posts Update 13^40, please. I added ~2000 terms.
 2020-03-31, 09:17 #250 garambois     Oct 2011 E216 Posts Wonderful ! A non-trivial termination on a prime number ! Thanks a lot ! I'll update the page next weekend or perhaps even before. I think that by then, bases 11 and 82589933 will be finished... All the aliquot sequences are already at 120 digits for these two bases, but I would like to go up to 122 digits, a little security ! The problem is that updating the page takes some time. I have to check everything carefully before publishing. The reservations must be good, the merges must be right and moreover, there is a new base to add this time : base 17. I don't want to do this work too hastily, at the risk of making a mistake.
 2020-04-01, 05:46 #251 gd_barnes     May 2007 Kansas; USA 3·11·307 Posts Continuing on my last post, base 17 has reached >= 102 digits for all exponents >= 97. All exponents with no driver and no 3 are at >= 105 digits. 17^74 is at 120 digits. :-) Sorry I don't have the resources to take all of these to 120 digits. No reservations. Last fiddled with by gd_barnes on 2020-04-01 at 05:46
 2020-04-01, 08:17 #252 garambois     Oct 2011 2×113 Posts Thank you very much gd_barnes for your help ! In a few days, the update promises to unveil important progress for several bases !
 2020-04-04, 11:17 #253 garambois     Oct 2011 2·113 Posts OK page updated. The update was more important than other times : - Base 11 completed. - Base 82589933 completed. - Base 17 added. Thank you all very much for all this work ! Surprise : I have to extend the calculations for 3^214. The elves have changed the color of the cell from red to white !!!

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