20120625, 21:28  #1 
Sep 2008
Krefeld, Germany
2·5·23 Posts 
Broken sequences / duplicate entries
Hi everyone,
sorry it took so long to repair the database. There were a few underlying problems which caused the broken sequences, broken numbers, etc. The major one was duplicate entries. I use separate tables for composites, status unknowns, primes, etc, and assume each ID appears in one table only. After last server crash this was not true anymore, which caused errors like "duplicate entry on PRIMARY KEY", false primes and so on. I just removed these ID´s from all tables and hope it fixed the sequences. Then there was another bug when reporting factors which occurred under certain circumstances. Say a number x, new to the database, factors as a*b*c*d, and 3 factors are reported: a*b, b*c and a*c This caused an "error on number" bug, which is hopefully fixed now. And finally, large numbers, especially fermat numbers, were shown very slowly. This was caused by my modifications to gmp´s mpz_perfect_power_p function.. Now its back to default and fast again. Please let me know if its not fixed! I hope I´ll find some time to work on some other features soon  Syd Last fiddled with by Syd on 20120625 at 21:41 Reason: typo 
20120625, 21:40  #2 
Apr 2010
Over the rainbow
2530_{10} Posts 
Thanks for the headsup Syd

20120626, 03:40  #3 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
7221_{10} Posts 
Does anyone have an elf they can upload for 40320?
shickel's latest report puts at at line 1357 size 117, but if you click on the link, you can see it's a few hundred lines and 60 digits short. (When I first noticed it the DB only had it in the 600s.) 
20120626, 04:00  #4  
Romulan Interpreter
Jun 2011
Thailand
5^{2}·7·53 Posts 
Quote:
The problem is the 18 digits cofactor 433850578177651157 of index 503, marked as prime. In reality this is a C18 which splits as 41283691*10509006527. The right sigma of index 503 is i504=58434468573150132384528 and you can see there the continuation of the sequence, which is indeed a C117 at the end. Last fiddled with by LaurV on 20120626 at 04:11 

20120626, 20:46  #5 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3×29×83 Posts 
Sigh... 731208 is also broken.
Code:
Verifying elf 731208 Verifying index 2799... ERROR: factor not prime: 504246042153376879 schickel's text report shows it as "731208 3947. sz 112 2 * 3". Last fiddled with by Dubslow on 20120626 at 20:49 
20120627, 03:46  #7 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
1C35_{16} Posts 
Another broken sequence
Code:
Verifying elf 641592 Verifying index 1467... ERROR: @index 1467: value != sigma  n Code:
641592 1610. sz 114 2 * 3^2 Edit: 641592 and 40320 both appear in this post (with the same problem lines) but the other two (21318 and 731208) were not previously known to be broken. Last fiddled with by Dubslow on 20120627 at 03:53 
20120627, 05:10  #8 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3×29×83 Posts 
Two more
Code:
Verifying elf 271680 Verifying index 440... ERROR: factor not prime: 336756866798891081 Code:
271680 2266. sz 117 2 * 3^3 * 5 Code:
Verifying elf 331716 Verifying index 184... ERROR: factor not prime: 539550197360613767 Code:
331716 1117. sz 114 2 * 3^3 * 7^2 Edit: For Syd or someone else who wants to try (and is using *nix with wget and aliqueit installed) you could do this: Code:
#! /bin/bash for seq in $(cat AllSeqs.txt); do wget http://factordb.com/elf.php?seq=$seq&type=1 aliqueit t alq_$seq.elf >> aliquot.log done Last fiddled with by Dubslow on 20120627 at 05:43 
20120702, 22:53  #9 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3·29·83 Posts 
Comprehensive list
Alright, the following should be a complete list of the 22 sequences with errors that occurred at a size <110. It's likely that there are at least a few sequences with errors at sizes >=110 that I haven't found.
The first three lines are the aliqueit check output, and the fourth is what AllSeq.txt reports is the correct status of the sequence. They're in no particular order, and this includes the others reported above. Code:
Verifying elf 722250 Verifying index 149... ERROR: factor not prime: 576443222838292213 722250 1550. sz 113 2 * 3 * 5 Verifying elf 583308 Verifying index 145... ERROR: factor not prime: 494644839362210107 583308 1185. sz 118 2^4 * 3 * 31 Verifying elf 43974 Verifying index 326... ERROR: @index 326: value != sigma  n 43974 4367. sz 115 2^2 * 3 * 7 * 103 * 14621 Verifying elf 434040 Verifying index 428... ERROR: @index 428: value != sigma  n 434040 1664. sz 115 2^2 * 3^2 * 5 * 331 Verifying elf 116424 Verifying index 712... ERROR: @index 712: value != sigma  n 116424 1398. sz 113 2^2 * 7 Verifying elf 506322 Verifying index 113... ERROR: factor not prime: 574402480684664617 506322 2985. sz 113 2^2 * 3 * 7 * 11 Verifying elf 936390 Verifying index 2353... ERROR: @index 2353: value != sigma  n 936390 4102. sz 117 2^4 * 3^3 * 31 * 271 Verifying elf 14598 Verifying index 1129... ERROR: factor not prime: 559829707982058169 14598 1580. sz 116 2^2 * 3 * 7 * 13 * 251 Verifying elf 745824 Verifying index 1378... ERROR: @index 1378: value != sigma  n 745824 3334. sz 112 2^2 * 7 Verifying elf 976248 Verifying index 1465... ERROR: @index 1465: value != sigma  n 976248 1615. sz 119 2^3 * 3^3 Verifying elf 700128 Verifying index 231... ERROR: @index 231: value != sigma  n 700128 2244. sz 2 43 Verifying elf 406608 Verifying index 236... ERROR: @index 236: value != sigma  n 406608 965. sz 115 2^4 * 3 Verifying elf 239520 Verifying index 90... ERROR: factor not prime: 465271162599626183 239520 970. sz 114 2^3 * 3 Verifying elf 228956 Verifying index 1498... ERROR: @index 1498: value != sigma  n 228956 3476. sz 117 2^3 * 3 * 5 * 7 Verifying elf 246888 Verifying index 692... ERROR: factor not prime: 428238728474329177 246888 2044. sz 114 2 * 3 Verifying elf 566712 Verifying index 1093... ERROR: @index 1093: value != sigma  n 566712 1239. sz 111 2 * 3^2 Verifying elf 731208 Verifying index 2799... ERROR: factor not prime: 504246042153376879 731208 3947. sz 112 2 * 3 Verifying elf 21318 Verifying index 300... ERROR: @index 300: value != sigma  n 21318 1264. sz 116 2 * 3 * 5 Verifying elf 641592 Verifying index 1467... ERROR: @index 1467: value != sigma  n 641592 1610. sz 114 2 * 3^2 Verifying elf 271680 Verifying index 440... ERROR: factor not prime: 336756866798891081 271680 2266. sz 117 2 * 3^3 * 5 Verifying elf 331716 Verifying index 184... ERROR: factor not prime: 539550197360613767 331716 1117. sz 114 2 * 3^3 * 7^2 Verifying elf 40320 Verifying index 504... ERROR: factor not prime: 433850578177651157 40320 1357. sz 117 2^3 * 3^2 * 5 * 2657 Last fiddled with by Dubslow on 20120702 at 22:57 Reason: counted them 
20120703, 05:43  #10 
Romulan Interpreter
Jun 2011
Thailand
5^{2}×7×53 Posts 
Good work man! We waiting for Syd now, hoping he will have some free time to fix them.

20120703, 05:51  #11 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3·29·83 Posts 
Actually, I'm fairly sure there are two more sequences with errors that I missed because they show as terminated due to the errors. Long story short, I wasn't handling that properly, and it will take another week for me to find those. (700128 was a case of this, except that I happened to be watching at the right time; as a matter of fact, me accidentally catching 700128 is how I figured out I was mishandling the wrongterminations.)

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