mersenneforum.org Aliquot sequences that start on the integer powers n^i
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 2018-11-10, 18:25 #56 garambois     Oct 2011 35210 Posts OK, all is done. Thank you very much for your help ! As for me, I have completed the calculations for n=2^476, finished with a p77. And now, all (10^10+19)^i are up to 120 digits for i from 1 to 15.
 2018-11-12, 00:37 #57 RichD     Sep 2008 Kansas 2×1,571 Posts Added a few hundred terms to 7^108 with nothing interesting to report.
 2018-11-17, 07:26 #58 gd_barnes     May 2007 Kansas; USA 3·7·487 Posts I tested all of n=5 up to size 102 and cofactor of 96 (fully ECM'd). Here are the updates: 5^112 +137 iterations 5^114 +88 5^118 +28 5^122 +30 5^126 +18 5^128 +32 5^130 +35 5^132 +20 5^138 +34 5^140 +1449 (A wild ride!) 5^142 +32 5^164 +1 (The elves had already done this one.) No reservations. I am also working on all of n=6. No reservations. I'll be done in ~2 days. Last fiddled with by gd_barnes on 2018-11-17 at 07:26
 2018-11-17, 17:49 #59 RichD     Sep 2008 Kansas 2×1,571 Posts Added 1000+ lines to 439^34.
 2018-11-19, 11:16 #60 gd_barnes     May 2007 Kansas; USA 3·7·487 Posts I tested all of n=6 up to size 102 and cofactor 97 (fully ECM'd). Here are the updates: 6^47: 1638 U104 (100) +47 iterations 6^51: 220 U108 (97) +4 6^53: 765 U103 (99) +80 6^57: 889 U102 (100) +35 6^59: 242 U107 (101) +16 6^61: 700 U102 (99) +183 6^63: 421 U111 (108) +39 6^65: 417 U103 (99) +48 6^69: 1291 U110 (103) +141 6^71: 224 U102 (100) +96 6^73: 1053 U106 (102) +777 (!) 6^75: 267 U106 (100) +56 6^83: 1029 U102 (97) +8 6^85: 544 U108 (98) +67 6^91: 167 U111 (97) +27 6^93: 1072 U102 (98) +11 6^95: 2370 U102 (99) +2319 (Dropped to 9 digits!!) 6^97: 550 U109 (103) +7 6^99: 178 U102 (100) +116 6^101: 1746 U104 (103) +19 6^103: 519 U106 (103) +104 6^105: 394 U102 (100) +9 6^107: 93 U104 (97) +28 6^109: 93 U104 (100) +46 6^111: 124 U104 (98) +53 6^113: 174 U102 (101) +142 6^115: 97 U108 (100) +56 6^117: 966 U111 (99) +7 6^119: 136 U102 (98) +100 6^121: 149 U107 (99) +119 6^127: 22 U106 (100) +6 I also extended a couple of n=5 from my previous posting from cofactor 96 to 97 (fully ECM'd): 5^118: 269 U104 (98) +42 iterations 5^156: 8 U110 (109) +1 All base 5 and 6 are now size>=102 and cofactor >=97. I am now working on all of n=7 testing to the same limit. I'll be done in ~2-3 days. No reservations. Last fiddled with by gd_barnes on 2018-11-19 at 11:16
 2018-11-19, 15:43 #61 kar_bon     Mar 2006 Germany 2×3×52×19 Posts 1300 lines done on 11^46, now at 121 digits.
 2018-11-19, 18:15 #62 garambois     Oct 2011 25×11 Posts OK the web page is updated. Thank you very much to all for your help ! On my side, I finished the aliquot sequences 2^477 (one more green cell !). And 3^136, 3^137, 3^140, 3^142, 3^157 and 3^160 are now size >= 10^120. So, that makes 6 more orange cells in the table of base 3 ! And I think someone calculated terms from sequence 2^490. It cannot be moved from index 3 to index 7 on its own ! The prime numbers that factor these terms are too large. Please do not calculate the sequences already reserved.
2018-11-19, 18:41   #63
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

8,369 Posts

Quote:
 Originally Posted by garambois OK the web page is updated. Thank you very much to all for your help ! On my side, I finished the aliquot sequences 2^477 (one more green cell !). And 3^136, 3^137, 3^140, 3^142, 3^157 and 3^160 are now size >= 10^120. So, that makes 6 more orange cells in the table of base 3 ! And I think someone calculated terms from sequence 2^490. It cannot be moved from index 3 to index 7 on its own ! The prime numbers that factor these terms are too large. Please do not calculate the sequences already reserved.
what other use of powers() in PARI/GP are there ?

Last fiddled with by science_man_88 on 2018-11-19 at 18:41

 2018-11-19, 23:45 #64 gd_barnes     May 2007 Kansas; USA 27F316 Posts 7^96 term 1267 merges with sequence 4788 term 6 with a value of 60564. Sequence 4788 is being worked on by the main project. 7^96 is now at term 13777, size 203, cofactor size 174 !! I'm guessing that this is now the longest n^i sequence. Last fiddled with by gd_barnes on 2018-11-19 at 23:58
2018-11-20, 07:01   #65
gd_barnes

May 2007
Kansas; USA

3×7×487 Posts

Quote:
 Originally Posted by sweety439 Why stop at 11? I suggest stop at 24 Now, I am running 12 and 13 (also, I have run 2^n-1 and 2^n+1 for n<=64)
Quote:
 Originally Posted by sweety439 Why you ran large prime (10^10+19)? Now I am running 439
Quote:
 Originally Posted by MisterBitcoin Note: There was no need to add n=12; 13 and 439. These are normal sweety thinks.
Sweety is not a serious searcher. He just reserves stuff, searches for a little while to a very low search-depth, and then waits for others to extend his searches. You can release all of his reservations for n=12, 13, and 439.

 2018-11-20, 14:53 #66 richs     "Rich" Aug 2002 Benicia, California 1,153 Posts I have been running 439^32 and 439^34 on a non-reservation basis.

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