The ECMNET Project

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[champions for ECM, P-1, P+1] [NFS@home] [mersenneforum] [GMP-ECM builds on Debian] [coverage] [coverage with gpu] News:

04 July 2016: GMP-ECM 7.0.3 has been released.
25 Apr 2013: using GMP-ECM, Andrew R. Booker, Ghaith A. Hiary, and Jon P. Keating showed that RSA-210 is not squarefull (details)
05 Mar 2013: using GMP-ECM, Andrew Booker found a 62-digit factor of the 14th term of the second Euclid-Mullin sequence, which enabled to compute one more term of this sequence. The next term has a 332-digit composite factor...

Results so far. Here are the (up to) 10 largest factors (of at least 60 digits) found by ECM so far in 2016 (see also the all-times top-50 table, and the top ten from 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015):

digits	factor	from	B1	sigma	date	who
75	131458002966362191339005108102367227220674315637373735378805031970614273439	3541¹⁰¹-1	30e9	2143831236	20 Apr 2016	R. Propper
73	3045900993960286149497147268705305258031860639784227614140251982523294187	11³¹¹-1	850e6	1915331402	07 Feb 2016	R. Propper
70	9926316454628557863038469663879950361774982225520836326372945706841117	569¹⁰⁹-1	7.6e9	2738834072	27 Feb 2016	R. Propper
70	7525032929675728079188975968262692873428304834022809537969894340478891	499¹¹³-1	3e10	3586428307	21 Feb 2016	R. Propper
69	287747726530544492175677457890914836829375533212501331768953062319641	1433¹⁰¹-1	30e9	1579451723	31 Mar 2016	R. Propper
68	49068013780183146162343858560572222517866392111470976981081833851129	163¹⁹¹-1	7.6e9	3744875101	13 Mar 2016	R. Propper
66	179134544380790814260416617296669096266685485399301527791299405233	12³²³-1	400e6	38092154	07 Jan 2016	B. Dodson
64	7244260476901751084482258405789854190205684857297390120072717721	2801¹⁵⁷-1	850e6	2638543426	25 Mar 2016	R. Propper
64	1843455308146833369419577117401177102515401880306453871619994561	10¹²³⁰-1	850e6	3023659865	26 Feb 2016	yoyo@home/Christian
64	1484993916000134361209645994489796858702347953214405357561157943	2¹⁴⁰⁹-1	850e6	420630642	28 Feb 2016	R. Propper

ECMNET Newsletters: number 1 (13 Feb 1998), number 2 (15 Mar 1998), number 3 (17 Apr 1998), number 4 (15 May 1998), number 5 (18 June 1998), number 6 (15 July 1998), number 7 (17 August 1998), number 8 (17 September 1998), number 9 (16 October 1998), number 10 (23 November 1998), number 11 (17 December 1998), number 12 (19 April 1999), number 13 (16 December 1999).

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