ECM Factorization applet records

Rank (Digits)Number (Curve)Prime factorDiscoverer
1 (62)10111 + 94 (26877)34 2605225331 9431214169 9016768017 3760465793 7085827437 1908475849Eino Lindfors (22 Jun 2011)
2 (59)18 + 3181 (914151)246096154 3985554500 7865829059 8948258532 5533968286 3740988001Robert J DuChateau (2 Mar 2011)
3 (56)24 + 2981 (210438)345039 2868697084 2350938851 3770443531 6756669757 8436905273Robert J DuChateau (17 Sep 2010)
4 (56)10151 - 1 (413220)286565 5283757454 6515657117 3601919711 4021191078 8651135283Alfred Eichhorn (9 Aug 2013)
5 (55)10193 - 1 (426141)20107 3479723774 1296291807 4804784644 5181353879 0168907747Alfred Eichhorn (9 Aug 2013)
6 (51)69 + 70 * 7172 (19049)6 2940242187 4852186463 2068442633 6674105792 3282571661Karl Vago (1 Jul 2009)
7 (51)102! - 103 (56777)1 0838319563 5476009638 2881001964 6958141460 0272495833John S. Tilley (13 Jan 2011)
8 (51)[1] (44585)1 0044423154 1200332362 3387050678 0105229272 2559369439Hans Havermann (13 May 2013)
9 (50)12 + 3179 (21743)9977058037 1549319977 6419274219 6989303806 6678558689Robert J DuChateau (27 Jun 2010)
10 (50)RSA-100 (24420)3797522793 6943673922 8088727554 4562785456 5536638199Matt Stath (22 Jan 2015)
11 (50)85! + 107 (10251)2173253459 9061956365 5466405502 2203199673 4823721611John S. Tilley (11 Jul 2012)
12 (49)99! + 1 (35472)717309350 2131087209 7930069652 3818922345 6495955047Eino Lindfors (20 May 2009)
13 (49)RSA-99 (16268)486837616 7980921239 8243292710 6910114247 2222111193Matt Stath (10 Jul 2008)
14 (48)L(1000) (11253)75444352 1566594151 5465700426 2379198477 5588648001Steven Morrell (25 Jul 2010)
15 (48)84! + 131 (48201)28877910 1503558814 8832482429 7666940209 4556093241John S. Tilley (20 Jun 2012)
16 (48)7171 + 2 (48247)20380955 2797249173 1247211904 1839040836 2306571553Steven Van Hulle (6 Jul 2007)
17 (48)[2] (3154)17545186 5205073170 5637113882 0712381374 1304898103Alex Griffiths (15 Oct 2004)
18 (48)61 + 62 * 6364 (19393)17263935 2687571573 9161256900 0212844461 7341997739Karl Vago (28 Jan 2008)
19 (48)(10298 - 1)/99 (15744)16545960 9176797865 8661343653 2979227063 5207840943Hans Havermann (24 Oct 2006)
20 (47)83! + 1 (11177)8741202 8241538313 7960666383 9060105251 7731154371Ignacio Santos (2 Dec 2008)

[1]: 111 2528084834 1926131034 7225322250 8134352891 7084094099 4552816159 4308489918 7364599082 4308676781 9738061751 (term #6612 of http://oeis.org/A195264)

[2]: 193 0230739910 0474689264 3287534444 4444444442 1000831984 6676393722 9000918305 0576825493 7288614789 5671110290 2011717967 5712694801 7563562823 4771589777.

RSA-99: defined at Paul Zimmermann's site as the number 256724393 2811370362 4361854816 9692747168 1339978306 7457456056 4321074494 8925761057 4393177648 4232708881.

The page lists the top 20 prime factors of numbers factorized by the applet after March 6th, 2003. These factors can be generated by the applet by entering the curve number in the lower left input box after entering the number to be factored.

If you find a larger prime factor found by ECM factoring, please send me the data as shown in the table above (or the complete factorization if you wish). The curve number can be seen by clicking on the "verbose mode" check box. Notice that the curve number must be just after the number greater than the 20th in the ranking. If the number does not have a curve number at the right, it was found by division, so it does not count for the ECM records.