mersenneforum.org Broken aliquot sequences
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2012-05-24, 09:58   #1
schickel

"Frank <^>"
Dec 2004
CDP Janesville

2×1,061 Posts
Broken aliquot sequences

Quote:
 Originally Posted by Andi47 What about opening a "Broken aliquot sequences" thread and moving these postings there? BTW: What is the problem with these sequences - did I miss something?
I think all the errors are a result of some composites having been marked as prime. These are the ones I know of for sure. (Two other sequences, 116424 & 363270, seem to have been fixed by the recent repair activity.)

---------------------

75402 transition error i2501-->i2502
Code:
 2501 .  358729443207142703797412198103463684902 = 2 * 3 * 23 * 76611233 * 6971077819 * 4867383372371032277
2502 .  389923307833850766552803688805580016090 = 2 * 3 * 5 * 5325225012394697 * 2440731342658679542699
$\sigma(n)-n$ = 389923317713346464092498767474155507418

73962 transition error i374-->i375
Code:
 374 .   1003615125130244858389990794712849904224 = 2^5 * 7 * 193 * 139608823 * 197728627 * 237846283 * 3535762499
375 .   1266219103764869625039654462097253884832 = 2^5 * 7 * 37 * 3923 * 1760477 * 675376420931 * 32754016329539
$\sigma(n)-n$ = 1266219120665364130295017236417031695776

174888 transition error i142-->i143
Code:
 142 .   8734000210977209181752 = 2^3 * 37 * 193 * 207715517 * 736029527
143 .   8171995856272822285048 = 2^3 * 60733 * 16819512983618507
$\sigma(n)-n$ = 8171995960632149250568

459980 transition error i422-->i423
Code:
 422 .   329992544768702371960 = 2^3 * 5 * 23 * 296692309 * 1208954657
423 .   444772560340424938280 = 2^3 * 5 * 15217 * 10666679 * 68504599
$\sigma(n)-n$ = 444772563592622384840

700128 incorrect factorization
Code:
 230 .   48208034886996010726 = 2 * 7^2 * 491918723336693987
Should be:
Code:
48208034886996010726 = 2 * 7^2 * 436433279 * 1127133853
722430 incorrect factorization
Code:
 214 .   4594320088968565383718592 = 2^6 * 23 * 43 * 127 * 571532936236665001
Should be:
Code:
4594320088968565383718592 = 2^6 * 23 * 43 * 127 * 136035463 * 4201352527
864792 transition error i250-->i251
Code:
 250 .   12762105846926757096 = 2^3 * 3 * 88225271 * 6027234649
251 .   19143158770390135704 = 2^3 * 3 * 19 * 41980611338574859
$\sigma(n)-n$ = 19143159137317730904

 2012-05-24, 12:27 #2 unconnected     May 2009 Russia, Moscow 22·691 Posts +473892 ERROR: @index 1195: value != sigma - n
 2012-05-25, 13:14 #3 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 70110 Posts From sequence 473892: 513868719334739387 is not prime: http://www.factordb.com/index.php?id=513868719334739387 You may need to hit F5 a couple of times to see what I mean. 513868719334739387C=132018421*3892401647=513868719334739387P? Strange. Why does the DB detect it as both prime and composite at the same time? Last fiddled with by Stargate38 on 2012-05-25 at 13:17
 2012-06-01, 05:53 #4 unconnected     May 2009 Russia, Moscow 22·691 Posts +239520 ERROR: @index 91: value != sigma - n +464800 ERROR: @index 85: value != sigma - n The same problem with 40320, 43974, 384330. Last fiddled with by unconnected on 2012-06-01 at 06:02 Reason: add more broken seqs
 2012-06-01, 10:10 #5 schickel     "Frank <^>" Dec 2004 CDP Janesville 2×1,061 Posts I've been working on pulling a complete status update and it looks like the problems are increasing. (Maybe a bad index or somewhat?) Complete list so far: Code:  40320 i503 bad factor (indicates a composite number that is showing as prime) 43974 i325 bad factor 73962 i374-->i375 (indicates the sigma for the lower line was calculated wrong) 75402 i2501-->i2502 131160 i559 bad factor 174888 i142-->i143 239520 i90-->i91 384330 i419-->i420 459980 i422-->i423 464800 i84-->i85 473892 i1194-->i1195 506322 i113 bad factor 566712 i1092-->i1093 583308 i145-->i146 604200 i1076-->i1077 608286 i2114-->i2115 641592 i1466-->i1467 700128 i230 bad factor 722430 i214 bad factor 864792 i250-->i251
 2012-06-02, 03:32 #6 schickel     "Frank <^>" Dec 2004 CDP Janesville 2·1,061 Posts Found a few more in stage 3 of my download: Code: 745824 i1377-->i1378 771870 i1494 bad factor 846900 i478-->i480
 2012-06-18, 08:32 #7 schickel     "Frank <^>" Dec 2004 CDP Janesville 212210 Posts Looks like some of the problems are being fixed. In the process of uploading some work on my sequences, lines that have been done in the past are showing up as "Checked, new" or "Unchecked, new". Some of the sequences with incorrect sigma calculations are OK now, but the incorrect factorizations I checked are not yet.....
 2012-08-04, 03:21 #8 schickel     "Frank <^>" Dec 2004 CDP Janesville 2×1,061 Posts I haven't checked them all yet, but it looks like the sequences that had problems have been fixed.
2012-08-04, 03:43   #9
Dubslow

"Bunslow the Bold"
Jun 2011
40<A<43 -89<O<-88

3·29·83 Posts

Quote:
 Originally Posted by schickel I haven't checked them all yet, but it looks like the sequences that had problems have been fixed.
As I reported in the new thread, 747720 is still broken (and was newly broken after the last DB flush).

2012-08-04, 07:02   #10
schickel

"Frank <^>"
Dec 2004
CDP Janesville

1000010010102 Posts

Quote:
 Originally Posted by Dubslow As I reported in the new thread, 747720 is still broken (and was newly broken after the last DB flush).
OK, more precisely: I checked all the sequences reported in this thread up past the point they were broken before and found no errors.*

Here is the status of the one I checked:
Quote:
 Originally Posted by FactorDB 40320 1358. sz 117 2^3 * 3^2 * 5 * 169493 43974 4369. sz 116 2^2 * 3^3 * 7 73962 748. sz 114 2^2 * 7 * 13 * 191 75402 3595. sz 135 2^4 * 11 * 31 * 331 * 9157 131160 1916. sz 121 2^3 * 3 * 5 * 103 * 727 174888 1751. sz 117 2^3 * 3 * 5 * 43 * 58377191 * 18579467520826127 239520 972. sz 115 2^3 * 3^3 * 11 * 113 * 433 * 3701 * 4457860265072911 384330 3001. sz 117 2^2 * 3 * 7 * 89 * 281 * 19147270185547678373162923 459980 2449. sz 118 2^7 * 3 * 5 * 109 464800 2384. sz 116 2^2 * 3 * 31 473892 2454. sz 114 2 * 3 * 373 506322 2994. sz 115 2^2 * 3 * 7^2 * 431 566712 1249. sz 113 2 * 3^3 * 5 * 7 * 823 583308 1185. sz 118 2^4 * 3 * 31 604200 1393. sz 119 2^4 * 3 * 239 608286 3593. sz 115 2^3 * 3 * 7 641592 1610. sz 114 2 * 3^2 700128 1863. sz 117 2^5 * 3^2 * 11 * 2927 * 28683833 722430 1508. sz 120 2^3 * 7 * 11 * 41 745824 3339. sz 113 2^2 * 5 * 7 * 149 * 947 771870 3086. sz 117 2 * 3^2 * 23 * 691 * 12211 846900 2118. sz 113 2 * 3^3 * 17 * 18149 864792 1043. sz 113 2 * 3 * 1517376277 * 7660170200354084659
As to why the other reported errors are still there, only Syd knows for sure.....maybe he likes me better? (Or maybe he's fixing them in the order they were reported? Or maybe.....?)

* Anecdotal evidence only. You mileage may vary, past results do not predict future returns, not intended for human consumption, (C), (R), & (TM), all rights reserverd.

2013-04-26, 05:42   #11
schickel

"Frank <^>"
Dec 2004
CDP Janesville

2×1,061 Posts

Can't download .elf files at the moment. From the browser there's no response, haven't waited long enough to get a time-out, but I assume it would eventually. When I try to download it, I get just the home page page with nothing following:
Quote:
 Originally Posted by 4788.elf . . factordb .com .

Resources used by your IP (?)
Page requests143
IDs created1
Database queries1,329,124
CPU (Wall clock time) 1,733 .0 seconds
Counting sinceApril 26, 2013, 6:40 am
. . . . . . . . . .

.
. factordb .com - 18 queries to generate this page (0.01 seconds) (limits) (Imprint) . .
. .

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