Broken aliquot sequences

schickel · 2012-05-24, 09:58

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

unconnected · 2012-05-24, 12:27

+473892

ERROR: @index 1195: value != sigma - n

Stargate38 · 2012-05-25, 13:14

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?

unconnected · 2012-06-01, 05:53

+239520
ERROR: @index 91: value != sigma - n

+464800
ERROR: @index 85: value != sigma - n

The same problem with 40320, 43974, 384330.

schickel · 2012-06-01, 10:10

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

schickel · 2012-06-02, 03:32

Found a few more in stage 3 of my download:

Code:

745824  i1377-->i1378
771870  i1494 bad factor
846900  i478-->i480

schickel · 2012-06-18, 08:32

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.....

schickel · 2012-08-04, 03:21

I haven't checked them all yet, but it looks like the sequences that had problems have been fixed.

Dubslow · 2012-08-04, 03:43

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).

schickel · 2012-08-04, 07:02

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.

schickel · 2013-04-26, 05:42

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

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4 .01 Transitional//EN"
"http://www .w3.org/TR/html4/loose.dtd">
. <html>
. <head>
<title>factordb .com</title>
<script type="text/javascript" src="ajax .js"></script>
. </head>
<body><table border=0 width="98%"><tr><td width=14% align="center" bgcolor="#BBBBBB"><a href="index .php">Search</a></td>
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<td width=14% align="center" bgcolor="#BBBBBB"><a href="result .php">Report results</a></td>
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<td width=14% align="center" bgcolor="#BBBBBB"><a href="status .php">Status</a></td>
<td width=14% align="center" bgcolor="#BBBBBB"><a href="downloads .php">Downloads</a></td>
<td width=14% align="center" bgcolor="#BBBBBB"><a href="login .php">Login</a></td>
</tr></table><br><center><table border=0 width="500"><tr><td align="center" colspan=2 bgcolor="#BBBBBB"><b>Resources used by your IP</b> (<a href="help .php?page=1">?</a>)</td>
. </tr><tr><td align="center" bgcolor="#DDDDDD">Page requests</td>
. <td align="center" bgcolor="#DDDDDD">143</td>
. </tr><tr><td align="center">IDs created</td>
. <td align="center">1</td>
. </tr><tr><td align="center" bgcolor="#DDDDDD">Database queries</td>
. <td align="center" bgcolor="#DDDDDD">1,329,124</td>
. </tr><tr><td align="center">CPU (Wall clock time)</td>
<td align="center">1,733 .0 seconds</td>
. </tr><tr><td align="center" bgcolor="#DDDDDD">Counting since</td>
. <td align="center" bgcolor="#DDDDDD">April 26, 2013, 6:40 am</td>
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factordb .com - 18 queries to generate this page (0.01 seconds) (<a href="res.php">limits</a>) (<a href="imp.html">Imprint</a>)
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2012-05-25, 13:14	#3
Stargate38 "Daniel Jackson" May 2011 14285714285714285714 1361₈ 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=1320184213892401647=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 Moscow, Russia 2⁴·181 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

2012-06-02, 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

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2012-05-24, 12:27	#2
unconnected May 2009 Moscow, Russia 2896₁₀ Posts	+473892 ERROR: @index 1195: value != sigma - n

2012-06-18, 08:32	#7
schickel "Frank <^>" Dec 2004 CDP Janesville 2·1,061 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 84A₁₆ Posts	I haven't checked them all yet, but it looks like the sequences that had problems have been fixed.