mersenneforum.org Aliquot sequences that start on the integer powers n^i
 Register FAQ Search Today's Posts Mark Forums Read

2021-02-02, 09:36   #727
Happy5214

"Alexander"
Nov 2008
The Alamo City

5×112 Posts

Quote:
 Originally Posted by Happy5214 ... plus 26^67, which had additional terms already in FactorDB that I didn't compute, but I couldn't deduce a merge for. ...
One quick note from base 22, which will finish initializing either later Tuesday or Wednesday, is that 22^67 was also already done to 111 digits. I looked back, and 24^67 was also advanced to a similar depth before I got there, so someone must have made a concerted effort on those i=67 sequences.

Last fiddled with by Happy5214 on 2021-02-02 at 09:37

2021-02-02, 17:27   #728
garambois

"Garambois Jean-Luc"
Oct 2011
France

10010010012 Posts

Quote:
 Originally Posted by Happy5214 One quick note from base 22, which will finish initializing either later Tuesday or Wednesday, is that 22^67 was also already done to 111 digits. I looked back, and 24^67 was also advanced to a similar depth before I got there, so someone must have made a concerted effort on those i=67 sequences.

This is indeed very curious !
It would seem that for bases 33, 34, 35 and 37 too, calculations were done further for exponent 67.

 2021-02-02, 20:58 #729 yoyo     Oct 2006 Berlin, Germany 2·307 Posts I'll take base 26 and 29.
 2021-02-03, 03:03 #730 RichD     Sep 2008 Kansas D0216 Posts Do we have another merge with 37^30 ?
 2021-02-03, 04:24 #731 Happy5214     "Alexander" Nov 2008 The Alamo City 5·112 Posts Base 22 has been initialized. There were three merges (22^5:i19=86388:i4, 22^29:i321=5208:i6, and 22^41:i1065=14676:i15). Exponents 1, 3, 7, 11, 19, 21, and 23 terminate, with 22^3 terminating with a perfect number (6). In unrelated news, I poached several yafu@home sequences with downdrivers (apologies) and terminated 20^71 and 21^70. Last fiddled with by Happy5214 on 2021-02-03 at 04:24
2021-02-03, 08:16   #732
garambois

"Garambois Jean-Luc"
Oct 2011
France

32·5·13 Posts

Quote:
 Originally Posted by yoyo I'll take base 26 and 29.

Many thanks !
Next weekend I will do the next update and it will be noted in the tables.

2021-02-03, 08:23   #733
garambois

"Garambois Jean-Luc"
Oct 2011
France

32×5×13 Posts

Quote:
 Originally Posted by RichD Do we have another merge with 37^30 ?

I find the following fusion :
37^30:i1193 with 35856:i3
Many thanks.

2021-02-03, 08:41   #734
garambois

"Garambois Jean-Luc"
Oct 2011
France

32×5×13 Posts

Quote:
 Originally Posted by Happy5214 Base 22 has been initialized. There were three merges (22^5:i19=86388:i4, 22^29:i321=5208:i6, and 22^41:i1065=14676:i15). Exponents 1, 3, 7, 11, 19, 21, and 23 terminate, with 22^3 terminating with a perfect number (6). In unrelated news, I poached several yafu@home sequences with downdrivers (apologies) and terminated 20^71 and 21^70.

Many thanks.
I confirm the accuracy of the mergers.
And so we have one more cycle, which is C1 = 6.
Base 22 will be added in the next update.

Yafu is an extremely powerful tool precisely to allow us to locate the sequences that must be calculated further. Without yafu, it would take months, if not years, to spot these sequences.
We cannot thank yoyo enough for his entry into the project !

Last fiddled with by garambois on 2021-02-03 at 08:45 Reason: Clarification regarding the addition of base 22 in the next update

 2021-02-03, 16:10 #735 yoyo     Oct 2006 Berlin, Germany 2×307 Posts I would take more, but only complete bases. Which ones are important? For the while beeing I'll take also base 31 and 33, they seems to be completly unreserved.
2021-02-03, 16:53   #736
garambois

"Garambois Jean-Luc"
Oct 2011
France

58510 Posts

Quote:
 Originally Posted by yoyo I would take more, but only complete bases. Which ones are important? For the while beeing I'll take also base 31 and 33, they seems to be completly unreserved.

You mean bases 30 and 31 (and not 31 and 33), because base 33 has not yet started ?

And if you want to take even more, would it be possible to take in priority the perfect number 8128 and the two amicable numbers 220 and 284 ?

Note : In 2 weeks, I will be on vacation and I will take a closer look at the sequences that end with cycles. It is likely that we will have to add additional exponents for the perfect numbers 28, 496 and 8128, we will see...

 2021-02-03, 17:10 #737 yoyo     Oct 2006 Berlin, Germany 2×307 Posts Oh, I took 33. But I'll take 30, 8128, 220, 284 also.

 Similar Threads Thread Thread Starter Forum Replies Last Post fivemack FactorDB 46 2021-02-21 10:46 schickel FactorDB 18 2013-06-12 16:09 garambois Aliquot Sequences 34 2012-06-10 21:53 Andi47 FactorDB 21 2011-12-29 21:11 schickel mersennewiki 0 2008-12-30 07:07

All times are UTC. The time now is 05:43.

Sun May 16 05:43:40 UTC 2021 up 38 days, 24 mins, 0 users, load averages: 2.18, 2.00, 1.77