M14 683 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,023.6953	79.1045%	7400000000	32522539163164050	612,347.6262	36.6281%	614,371.3215	86.7581%
Target	2⁴⁴	0.0002	68.1818%	500	50000	0.0000	1.4209%	0.0002	68.6339%
Difference	+23	+2,023.6951	+10.9227%	+7399999500	+32522539163114050	+612,347.6262	+35.2072%	+614,371.3213	+18.1242%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
14683	1194395372027517749126592679664279	34	109.880	40672729415906754380119617233 97 × 677 × 1259 × 1668553 × 294833737768991	2008-04-24	1668553	294833737768991	1.237e+13	5,551.2	10,368
14683	4135071018920424637356887491839063713143	40	131.603	140811517364313309179217036431215137 3 × 11 × 47 × 15497 × 308638171 × 1476823577 × 12852881213	2017-07-04	1476823577	12852881213	1.277e+13	0.7246	1.0387
14683	11249583252002256076259378224522172124261192363961	50	162.944	383081906013834232658836008462922159104447060 2² × 3 × 5 × 7² × 19 × 37 × 89 × 113² × 6719 × 1986713 × 3183800447 × 3837571467557	2023-05-26	3183800447	3837571467557	9.936e+12	73.295	134.95

exponent	prime factors	composite factor	digits	bits*
14683	1194395372027517749126592679664279 4135071018920424637356887491839063713143	49389096880036674700531409496087054052508543022215 70653596821284399918897	73	241.483
14683	1194395372027517749126592679664279 11249583252002256076259378224522172124261192363961	13436450173429767600750397142084449349277953508565 003062120904657409266643858649119	83	272.824
14683	4135071018920424637356887491839063713143 11249583252002256076259378224522172124261192363961	46517825680287113156694844370135836361723508214791 746003425704958113764172332714555239423	89	294.547
14683	1194395372027517749126592679664279 4135071018920424637356887491839063713143 11249583252002256076259378224522172124261192363961	55560675709317745442581344164754382227520927571177 88171903089070632088033319388419643527762399075024 2541882336024105671017	122	404.427

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-04-29	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.000	-	-	1.739%
2001-07-17	Alex Kruppa	v4_computers	1000000	100000000		-		-	-	0.002	-	-	4.372%
2001-10-06	ANONYMOUS	v4_computers	43000000	4290000000		-		-	-	0.095	-	-	10.739%
2002-04-28	ANONYMOUS	v4_computers	16384	1638400		-		-	-	3.62019e-5	-	-	0.559%
2002-06-09	ANONYMOUS	v4_computers	32768	3276800		-		-	-	7.24038e-5	-	-	0.916%
2002-07-14	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.000	-	-	1.390%
2003-02-02	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.000	-	-	1.986%
2003-03-27	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.001	-	-	2.698%
2003-04-03	ANONYMOUS	v4_computers	524288	52428800		-		-	-	0.001	-	-	3.519%
2003-04-27	ANONYMOUS	v4_computers	1048576	104857600		-		-	-	0.002	-	-	4.438%
2003-05-19	ANONYMOUS	v4_computers	2097152	209715200		-		-	-	0.005	-	-	5.450%
2003-07-06	ANONYMOUS	v4_computers	4194304	419430400		-		-	-	0.009	-	-	6.547%
2003-09-29	ANONYMOUS	v4_computers	8388608	838860800		-		-	-	0.019	-	-	7.724%
2003-09-29	ANONYMOUS	v4_computers	16777216	1677721600		-		-	-	0.037	-	-	8.971%
2021-08-01	ViliamF	3	250000000	42750000000		-		-	-	0.887	-	-	14.963%
2023-05-26	JacobZ	GreatLakes	7400000000	32522539163164050			11249583252002256076259378224522172124261192363961	50	162.944	612,348	6.99890e-6	1,224,695	36.628%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-09-14	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.041	-	-
2000-03-01	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.082	-	-
2000-09-15	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.654	-	-
2002-08-31	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	1.308	-	-

ECM factoring results:

Total ECM effort:	476.002 GHz-days
Estimated T-Level:	38.783

Digits	B1	Complete	FacMiss
20	11000	698.529	0.000%
25	50000	172.380	0.000%
30	250000	35.430	0.000%
35	1000000	5.705	0.333%
40	3000000	0.757	46.930%
45	11000000	0.086	91.770%
50	44000000	0.009	99.152%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		47	0.012
250000	25000000		6	0.007
350000	35000000		3	0.005
950000	95000000		1	0.005
1000000	100000000		120	0.597
1000000	100000000	4135071018920424637356887491839063713143	428	2.128
3000000	300000000		1,022	15.25
3000000	22972874925		1,200	458.0

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-07-06	Rob_Dee	twopc	50000	5000000						19	0.005
2009-07-06	Rob_Dee	twopc	50000	5000000						19	0.005
2009-07-08	Rob_Dee	twopc	250000	25000000						3	0.004
2009-07-08	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-08	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-08	Rob_Dee	twopc	250000	25000000						3	0.004
2009-07-08	Rob_Dee	twopc	50000	5000000						1	0.000
2009-07-09	Rob_Dee	twopc	1000000	100000000						9	0.045
2009-08-08	Rob_Dee	twopc	950000	95000000						1	0.005
2009-08-09	Rob_Dee	twopc	350000	35000000						3	0.005
2009-08-10	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-10	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-10	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-10	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-10	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-13	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-14	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-15	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-17	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-17	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-17	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-17	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-17	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-17	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-18	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-18	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-18	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-19	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-19	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-19	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-19	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-19	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-20	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-20	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-25	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-27	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-28	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-29	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-29	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-29	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-30	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-30	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-30	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-30	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-08-31	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-02	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-04	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-05	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-05	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-05	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-06	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-06	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-06	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-07	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-07	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-07	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-07	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-07	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-16	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-16	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-17	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-17	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-18	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-18	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-19	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-21	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-22	Rob_Dee	twopc	1000000	100000000						1	0.005
2009-09-22	Rob_Dee	twopc	1000000	100000000						1	0.005
2011-04-09	James Hintz	17_051310	1000000	100000000						11	0.055
2017-07-04	kkmrkkblmbrbk	c4.large	1000000	100000000	4135071018920424637356887491839063713143	131.603	428	2		428	2.128
2017-07-04	kkmrkkblmbrbk	c4.large	1000000	100000000						42	0.209
2019-03-29	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-03-31	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-02	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-07	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-09	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-11	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-25	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-27	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-03	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-06	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-08	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-11	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-14	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-16	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-20	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-24	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-05	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-09	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-07-16	Niels_Mache_Nextcloud		3000000	300000000						3	0.045
2019-07-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-28	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-07-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-21	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-19	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-03	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-11	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-19	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-27	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-01	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-11-04	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-11-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2021-11-06	nordi	sweet16	3000000	300000000						800	11.93
2023-07-05	Denial140	i5-8400	3000000	22972874925						200	76.33
2023-07-05	Denial140	i5-8400	3000000	22972874925						200	76.33
2023-07-05	Denial140	i5-8400	3000000	22972874925						200	76.33
2023-07-05	Denial140	i5-8400	3000000	22972874925						200	76.33
2023-07-06	Denial140	i5-8400	3000000	22972874925						200	76.33
2023-07-06	Denial140	i5-8400	3000000	22972874925						200	76.33

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront