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 2020-11-21, 16:06 #507 Alfred     May 2013 Germany 3×29 Posts p54 with ecm and B1 = 3e6 Caught this p54 while searching for a brilliant 199-digit number. Code: Input number is 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992027 (199 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1452677002 Step 1 took 0ms Step 2 took 2813ms ********** Factor found in step 2: 423160190219167918418888831508389397512846550243914177 Found prime factor of 54 digits: 423160190219167918418888831508389397512846550243914177 Prime cofactor 23631712602314236460375363605669880057528256019179586483958332029245798546518655036308640681338947369725232833261868840557864887635516265827697051 has 146 digits
 2021-01-03, 00:20 #508 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 144548 Posts L1513 finished 202-digit GNFS done locally Code: Tue Aug 4 13:05:29 2020 R0: -1028224595046037683938542391736748085046 Tue Aug 4 13:05:29 2020 R1: 4848130132767804170091793 Tue Aug 4 13:05:29 2020 A0: 648878061894436523327775882840696551093747592165 Tue Aug 4 13:05:29 2020 A1: 13245849346295954315426797465107710625703 Tue Aug 4 13:05:29 2020 A2: -376642136328230129661761611055571 Tue Aug 4 13:05:29 2020 A3: -9454281508658701649335711 Tue Aug 4 13:05:29 2020 A4: 116526330703266438 Tue Aug 4 13:05:29 2020 A5: 428485680 Tue Aug 4 13:05:29 2020 skew 67545908.29, size 5.912e-20, alpha -8.299, combined = 2.961e-15 rroots = 3 ... sieve Q=40M..375M in 1078087489 thread-seconds ... Sat Nov 21 21:26:59 2020 matrix is 63151125 x 63151542 (22228.8 MB) with weight 5094240601 (80.67/col) Sat Nov 21 21:26:59 2020 sparse part has weight 4816732203 (76.27/col) Fri Jan 1 15:23:55 2021 lanczos halted after 247423 iterations (dim = 63151125) Sat Jan 2 20:57:21 2021 p70 factor: 4493695606770472637867321927044598060152799561314346673366564420496931 Sat Jan 2 20:57:21 2021 p133 factor: 2148834568682702094964376360162085149774220051591587827359563815630236626372124575110661016995807683695989368484857539018308408221331
 2021-01-30, 01:06 #509 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 677 Posts Another P4x at
 2021-01-30, 02:03 #510 swishzzz   Jan 2012 Toronto, Canada 5·19 Posts Very close to the same digital length composition for two 3-ways Code: 10^199 + 23173 = 224433735459577392947020227278055347817380372899653241 * 677166587753085022008921622519679777457914400728666270398231717 * p83 10^199 + 24181 = 125246337159352133080104859058799976828033420210335353 * 4292155836263037911802907280773029436191511910550793277991358423 * p83
 2021-02-01, 22:25 #511 unconnected     May 2009 Russia, Moscow A7816 Posts Lucky find for near-repdigit number (74*10^283+7)/9: Code: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:949432216 Step 1 took 9528ms Step 2 took 4729ms ********** Factor found in step 2: 1182219105908711587346038374813771128564935992167 Found prime factor of 49 digits: 1182219105908711587346038374813771128564935992167 Prime cofactor 472167911435767590384937592650265763333570374651435418184918818066214429283320719814902198706039980988613407949105532565490068110752657746342543 has 144 digits
 2021-02-02, 09:24 #512 MisterBitcoin     "Nuri, the dragon :P" Jul 2016 Good old Germany 22×211 Posts Found this little factor with using the wrong programm. Code: W1030492381 has a factor: 440348557948741296977 [TF:68:69:mfaktc 0.21 barrett76_mul32_gs] found 1 factor for W1030492381 from 2^68 to 2^69 [mfaktc 0.21 barrett76_mul32_gs] There isnt anyone interessted on factors for Wagstaff numbers for that range?
 2021-02-16, 02:22 #513 sean     Aug 2004 New Zealand 32·52 Posts 50-digit factor of 95!+25 with B1=1e6 I don't see many 50 digits factors with B1=1e6 ... Code: Run 178 out of 200: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2726828695 Step 1 took 2276ms Step 2 took 1436ms ********** Factor found in step 2: 20819759916248446572812979296981961157835787899653 Found probable prime factor of 50 digits: 20819759916248446572812979296981961157835787899653 Probable prime cofactor 2944668849437874913553507825327499221600601795476762700186109016306167187 has 73 digits
 2021-04-23, 15:04 #514 bur     Aug 2020 79*6581e-4;3*2539e-3 2×11×19 Posts I finally got a dedicated factoring machine running and its first real task was factoring a C138 from aliquot 30081984:1920 Code: 7973712480336027352229719413187897894070666267573380770460370574546256076128028667504883219837711672619409359725392220343873377 = 715215026635608879010699711940390170306392146448359506114304683758700914 * 1114869260765477729412719553078740045166565405836068797 I don't know the total time as it was interrupted when I lost the SSH connection (didn't know about tmux then), sometime between 12 and 24 hours... The second was the last remaining co-factor of 1022^162-1 which the base 1022 Wieferich prime 163 belongs to: Code: Total factoring time = 16160.6690 seconds ***factors found*** P69 = 561453556809307449235709634757896494545317098972093987639522375815171 P58 = 4466710490347773515450994252634894622624341053542443215433
 2021-07-14, 01:27 #515 swishzzz   Jan 2012 Toronto, Canada 1378 Posts By far my biggest ECM miss to date. Survived 1500 curves at B1=43e6 without finding any factors, though this completed with a nice p80 * p80 sub-split: Code: Tue Jul 13 23:31:39 2021 Msieve v. 1.53 (SVN unknown) Tue Jul 13 23:31:39 2021 random seeds: 09ea6390 31518eee Tue Jul 13 23:31:39 2021 factoring 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000056701 (200 digits) Tue Jul 13 23:31:40 2021 searching for 15-digit factors Tue Jul 13 23:31:40 2021 commencing number field sieve (200-digit input) Tue Jul 13 23:31:40 2021 R0: 5000000000000000000000000000000000000000 Tue Jul 13 23:31:40 2021 R1: -1 Tue Jul 13 23:31:40 2021 A0: 283505 Tue Jul 13 23:31:40 2021 A1: 0 Tue Jul 13 23:31:40 2021 A2: 0 Tue Jul 13 23:31:40 2021 A3: 0 Tue Jul 13 23:31:40 2021 A4: 0 Tue Jul 13 23:31:40 2021 A5: 16 Tue Jul 13 23:31:40 2021 skew 7.07, size 2.021e-14, alpha 0.869, combined = 8.034e-12 rroots = 1 Tue Jul 13 23:31:40 2021 Tue Jul 13 23:31:40 2021 commencing square root phase Tue Jul 13 23:31:40 2021 reading relations for dependency 1 Tue Jul 13 23:31:41 2021 read 1948476 cycles Tue Jul 13 23:31:44 2021 cycles contain 6641174 unique relations Tue Jul 13 23:32:15 2021 read 6641174 relations Tue Jul 13 23:32:41 2021 multiplying 6641174 relations Tue Jul 13 23:36:03 2021 multiply complete, coefficients have about 192.28 million bits Tue Jul 13 23:36:04 2021 initial square root is modulo 7952611 Tue Jul 13 23:39:16 2021 found factor: 72684825239187572199114163802348663833993 Tue Jul 13 23:39:16 2021 reading relations for dependency 2 Tue Jul 13 23:39:17 2021 read 1946198 cycles Tue Jul 13 23:39:20 2021 cycles contain 6639862 unique relations Tue Jul 13 23:39:51 2021 read 6639862 relations Tue Jul 13 23:40:16 2021 multiplying 6639862 relations Tue Jul 13 23:43:37 2021 multiply complete, coefficients have about 192.25 million bits Tue Jul 13 23:43:38 2021 initial square root is modulo 7930841 Tue Jul 13 23:48:22 2021 sqrtTime: 1002 Tue Jul 13 23:48:22 2021 p41 factor: 72684825239187572199114163802348663833993 Tue Jul 13 23:48:22 2021 p80 factor: 10713726657513086969005880585740753509402612827282675288805289249497566826982529 Tue Jul 13 23:48:22 2021 p80 factor: 12841497972371527407279914594204549598197331585415640265575265809428282826475733 Last fiddled with by swishzzz on 2021-07-14 at 01:28 Reason: quote -> code
 2021-07-18, 17:36 #516 swishzzz   Jan 2012 Toronto, Canada 5×19 Posts First 4 way split Ran to t45 + half a t45 worth of t50 curves so a small ECM miss. Code: Sun Jul 18 13:52:07 2021 Msieve v. 1.53 (SVN unknown) Sun Jul 18 13:52:07 2021 random seeds: 6230ca50 7d16446e Sun Jul 18 13:52:07 2021 factoring 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000057907 (200 digits) Sun Jul 18 13:52:08 2021 searching for 15-digit factors Sun Jul 18 13:52:08 2021 commencing number field sieve (200-digit input) Sun Jul 18 13:52:08 2021 R0: 5000000000000000000000000000000000000000 Sun Jul 18 13:52:08 2021 R1: -1 Sun Jul 18 13:52:08 2021 A0: 289535 Sun Jul 18 13:52:08 2021 A1: 0 Sun Jul 18 13:52:08 2021 A2: 0 Sun Jul 18 13:52:08 2021 A3: 0 Sun Jul 18 13:52:08 2021 A4: 0 Sun Jul 18 13:52:08 2021 A5: 16 Sun Jul 18 13:52:08 2021 skew 7.10, size 2.270e-14, alpha 0.511, combined = 8.583e-12 rroots = 1 Sun Jul 18 13:52:08 2021 Sun Jul 18 13:52:08 2021 commencing square root phase Sun Jul 18 13:52:08 2021 reading relations for dependency 1 Sun Jul 18 13:52:09 2021 read 1816479 cycles Sun Jul 18 13:52:12 2021 cycles contain 6181790 unique relations Sun Jul 18 13:52:41 2021 read 6181790 relations Sun Jul 18 13:53:04 2021 multiplying 6181790 relations Sun Jul 18 13:56:12 2021 multiply complete, coefficients have about 178.76 million bits Sun Jul 18 13:56:13 2021 initial square root is modulo 2602351 Sun Jul 18 13:59:09 2021 found factor: 327085767534348425904495503257925737562739242781603507286790611147202003799517601509280506768237 Sun Jul 18 13:59:09 2021 reading relations for dependency 2 Sun Jul 18 13:59:10 2021 read 1815029 cycles Sun Jul 18 13:59:12 2021 cycles contain 6181534 unique relations Sun Jul 18 13:59:41 2021 read 6181534 relations Sun Jul 18 14:00:05 2021 multiplying 6181534 relations Sun Jul 18 14:03:12 2021 multiply complete, coefficients have about 178.76 million bits Sun Jul 18 14:03:13 2021 initial square root is modulo 2600951 Sun Jul 18 14:06:09 2021 sqrtTime: 841 Sun Jul 18 14:06:09 2021 p45 factor: 184108371170740227601792977807172320586386977 Sun Jul 18 14:06:09 2021 p47 factor: 17270428742910214150116701069645421745724344979 Sun Jul 18 14:06:09 2021 p50 factor: 18939064710169534088531508404510711937085397512703 Sun Jul 18 14:06:09 2021 p60 factor: 166059917234778117337312422035294203023745350656925625607743 Sun Jul 18 14:06:09 2021 elapsed time 00:14:02
2021-07-18, 21:29   #517
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

226108 Posts

First for you, you meant? Cool, congrats, it is a normal stepping stone in anyone's personal growth.
However, just for context we can remember a few larger ones...
Quote:
 Originally Posted by https://stdkmd.net/nrr/records.htm c248 = P46 × P52 × P71 × P81 10^250+3 RSALS + Jeff Gilchrist May 8, 2010
Quote:
 Originally Posted by https://escatter11.fullerton.edu/nfs/crunching_e.php Fibonacci(1441) SNFS(273.77) 32 NFS@Home+Batalov: p64 * p64 * p66 * p80 Feb 11, 2019

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