20201121, 16:06  #507 
May 2013
Germany
97_{10} Posts 
p54 with ecm and B1 = 3e6
Caught this p54 while searching for a brilliant 199digit number.
Code:
Input number is 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992027 (199 digits) Using B1=30000003000000, 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 
20210103, 00:20  #508 
(loop (#_fork))
Feb 2006
Cambridge, England
2·7·461 Posts 
L1513 finished
202digit 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 5.912e20, alpha 8.299, combined = 2.961e15 rroots = 3 ... sieve Q=40M..375M in 1078087489 threadseconds ... 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 
20210130, 01:06  #509 
"Daniel Jackson"
May 2011
14285714285714285714
3×251 Posts 
Another P4x at <t30
Super lucky find from this number
Code:
01/29/21 19:58:08 v1.35beta @ LAPTOPONGC39AN, prp45 = 363663840350383283238303865573198932342477697 (curve 39 stg2 B1=250000 sigma=2489289353 thread=6) 01/29/21 19:58:10 v1.35beta @ LAPTOPONGC39AN, Finished 45 curves using Lenstra ECM method on C293 input, B1=250K, B2=gmpecm default 01/29/21 19:58:10 v1.35beta @ LAPTOPONGC39AN, current ECM pretesting depth: 25.86 Last fiddled with by Stargate38 on 20210130 at 01:12 
20210130, 02:03  #510 
Jan 2012
Toronto, Canada
2^{5}×3 Posts 
Very close to the same digital length composition for two 3ways
Code:
10^199 + 23173 = 224433735459577392947020227278055347817380372899653241 * 677166587753085022008921622519679777457914400728666270398231717 * p83 10^199 + 24181 = 125246337159352133080104859058799976828033420210335353 * 4292155836263037911802907280773029436191511910550793277991358423 * p83 
20210201, 22:25  #511 
May 2009
Moscow, Russia
B4E_{16} Posts 
Lucky find for nearrepdigit 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 
20210202, 09:24  #512 
"Nuri, the dragon :P"
Jul 2016
Good old Germany
2×443 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? 
20210216, 02:22  #513 
Aug 2004
New Zealand
2·5·23 Posts 
50digit 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 
20210423, 15:04  #514 
Aug 2020
79*6581e4;3*2539e3
659 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 The second was the last remaining cofactor of 1022^1621 which the base 1022 Wieferich prime 163 belongs to: Code:
Total factoring time = 16160.6690 seconds ***factors found*** P69 = 561453556809307449235709634757896494545317098972093987639522375815171 P58 = 4466710490347773515450994252634894622624341053542443215433 
20210714, 01:27  #515 
Jan 2012
Toronto, Canada
1100000_{2} 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 subsplit:
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 15digit factors Tue Jul 13 23:31:40 2021 commencing number field sieve (200digit 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 2.021e14, alpha 0.869, combined = 8.034e12 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 20210714 at 01:28 Reason: quote > code 
20210718, 17:36  #516 
Jan 2012
Toronto, Canada
1100000_{2} 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 15digit factors Sun Jul 18 13:52:08 2021 commencing number field sieve (200digit 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 2.270e14, alpha 0.511, combined = 8.583e12 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 
20210718, 21:29  #517  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3×7×479 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:
Quote:


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