ECM Factorization applet records

Rank	Number	Curve	Digits	Prime factor	Discoverer	Date
1	71⁷¹+2	48247	48	203809552797249173124721190418390408362306571553	Steven Van Hulle	6 Jul 2007
2	[1]	3154	48	175451865205073170563711388207123813741304898103	Alex Griffiths	15 Oct 2004
3	61+62*63⁶⁴	19393	48	172639352687571573916125690002128444617341997739	Karl Vago	28 Jan 2008
4	(10²⁹⁸-1)/99	15744	48	165459609176797865866134365329792270635207840943	Hans Havermann	24 Oct 2006
5	7¹²⁵-2	9623	46	1904801291789953430356327615883857539019440407	Jerry Nordal	4 Oct 2004
6	263#/2-2²⁴⁸	11361	45	123263030158296572640303028289562563132880631	Phil Benamy	18 Jul 2005
7	F(875)	3543	45	104489406798697025053110107015655603906769001	Adam Ferralli	24 Jan 2004
8	56+57*58⁵⁹	5544	44	79680527590386990346392662443201256487222893	Karl Vago	14 Jun 2007
9	11⁸⁶-6	2064	44	21765659842353144127999119866153453133575207	Donovan Johnson	14 Sep 2003
10	119419¹⁹+2	3308	43	4130230822810178483124365201533411888431257	Erik Bäckerud	9 Jan 2004
11	269#+2¹⁶	3526	43	4084059797393524023484733738830159080657989	Phil Benamy	20 Aug 2007
12	86!+1	1071	43	3784674494385908337626818372613017901830141	David Wasserman	6 Sep 2006
13	P(11162)	2000	42	724092735508579047476718520332276086003171	Tom Hill	18 Jul 2003
14	11⁷⁹-4	2120	42	623640994710866033188488668688568994516357	Donovan Johnson	26 May 2003
15	10¹²³-3	2128	42	376667884978938293477936774780616434222279	John Sillcox	16 Jan 2007
16	85!+1	2180	42	145560053920124375316287092261860812171017	David Wasserman	8 Sep 2006
17	84!+1	2045	41	97376044141589614099244742802905649039609	David Wasserman	6 Sep 2006
18	P(10016)	1434	41	46996358308141247519401061497147298035703	Tom Hill	18 Jul 2003
19	10¹⁰²+2	2294	41	14517956103780514016565427070425807622233	Manfred Hampl	1 Apr 2004
20	67!*67#-1	4874	40	2858150414507017285416912839117145003037	Karl Vago	17 Jul 2003

[1]: 19302307399100474689264328753444444444444421000831984667639372290009183050\
576825493728861478956711102902011717967571269480175635628234771589777

[2]: Integer part of (2⁵²¹-1)/10⁵⁰.

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.