M12 641 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,350.5987	79.1045%	400000000	400000000	0.1144	7.7723%	2,350.7130	80.7285%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3577%	0.0002	68.6138%
Difference	+23	+2,350.5985	+10.9227%	+399999500	+399990000	+0.1144	+6.4145%	+2,350.7129	+12.1147%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12641	783743	6	19.580	31 31	-	1	31	5.562e-12	7.534e-10	1.024e-9
12641	4045121	7	21.948	160 2⁵ × 5	2008-08-26	32	32	2.287e-11	9.151e-9	1.862e-8
12641	18198590369	11	34.083	719824 2⁴ × 7 × 6427	2008-08-26	16	6427	3.270e-7	1.045e-7	1.869e-7
12641	41249479151	11	35.264	1631575 5² × 11 × 17 × 349	2008-08-26	25	349	4.181e-7	1.220e-8	1.455e-8
12641	234221764576478857	18	57.701	9264368506308 2² × 3 × 772030708859	2008-08-29	4	772030708859	2.2249	12.029	22.466

exponent	prime factors	composite factor	digits	bits*
12641	783743 4045121	3170335267903	13	41.528
12641	783743 18198590369	14263017811571167	17	53.663
12641	783743 41249479151	32328990538242193	17	54.844
12641	4045121 18198590369	73615500072039649	17	56.031
12641	4045121 41249479151	166859134352772271	18	57.211
12641	18198590369 41249479151	750682374003654896719	21	69.347
12641	783743 4045121 18198590369	57695632872960570626207	23	75.611
12641	783743 4045121 41249479151	130774678535044797990353	24	76.791
12641	783743 234221764576478857	183569668434463268821751	24	77.281
12641	4045121 234221764576478857	947455378545370730506697	24	79.648
12641	783743 18198590369 41249479151	588342055848746499719239217	27	88.927
12641	4045121 18198590369 41249479151	3036601035412038499470857999	28	91.295
12641	18198590369 234221764576478857	4262505949031693490932328233	28	91.784
12641	41249479151 234221764576478857	9661525794607894956813810407	28	92.964
12641	783743 4045121 234221764576478857	742561520747284492439510226871	30	99.228
12641	783743 4045121 18198590369 41249479151	2379914805296937289690788660710257	34	110.875
12641	783743 18198590369 234221764576478857	3340709200011946551663775726316119	34	111.364
12641	783743 41249479151 234221764576478857	7572153210843375417138126209813401	34	112.544
12641	4045121 18198590369 234221764576478857	17242352327053033005733670514201193	35	113.732
12641	4045121 41249479151 234221764576478857	39082040883810082655601637567374247	35	114.912
12641	18198590369 41249479151 234221764576478857	175826150275596309292435480999022170183	39	127.047
12641	783743 4045121 18198590369 234221764576478857	13513572939861525247012724129811585605399	41	133.312
12641	783743 4045121 41249479151 234221764576478857	30630275968399965610749194231966594466521	41	134.492
12641	783743 18198590369 41249479151 234221764576478857	137802514495446678233781261184616632725734969	45	146.627
12641	4045121 18198590369 41249479151 234221764576478857	711238052828970418241325905334245560072827143	45	148.995
12641	783743 4045121 18198590369 41249479151 234221764576478857	55742784523833576250371148902437761798815776353624 9	51	168.575

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 783743 skipped known factor: 4045121 skipped known factor: 18198590369 skipped known factor: 41249479151	-	-	0.114	-	-	7.772%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	18198590369	34.083	11	1.45938e-7	0.000	1.11403e-5
2008-08-26	ANONYMOUS	Manual testing	?	?	4045121	21.948	7	7.65403e-13	0.000	5.85388e-11
2008-08-26	ANONYMOUS	Manual testing	?	?	41249479151	35.264	11	5.60397e-8	0.000	4.26970e-6

ECM factoring results:

Total ECM effort:	13.964 GHz-days
Estimated T-Level:	36.147

Digits	B1	Complete	FacMiss
20	11000	347.219	0.000%
25	50000	75.306	0.000%
30	250000	12.891	0.000%
35	1000000	1.847	15.770%
40	3000000	0.229	79.502%
45	11000000	0.026	97.477%
50	44000000	0.003	99.737%

ECM Summary

B1	B2	factor	curves	GHz-days
		234221764576478857	1	0.00000e+0
50000	5000000		156	0.032
100000	10000000		1	0.000
200000	20000000		1	0.001
250000	25000000		130	0.134
400000	40000000		1	0.002
500000	50000000		25	0.051
1000000	100000000		1,517	6.243
3000000	300000000		241	2.975
11000000	1100000000		100	4.527

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29	ANONYMOUS	Manual testing			234221764576478857	57.701		1		1	-
2009-04-07	Matthias Wurtinger	AMD_Funzel	50000	5000000						50	0.010
2009-06-07	unconnected	dual5430	250000	25000000						30	0.031
2009-06-08	Rob_Dee	twopc	50000	5000000						80	0.016
2009-07-09	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-10	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-10	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-11	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-13	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-14	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-15	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-16	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-17	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-18	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-21	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-22	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-24	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-26	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-30	Rob_Dee	twopc	500000	50000000						5	0.010
2009-07-30	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-04	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-12	Rob_Dee	twopc	500000	50000000						5	0.010
2009-09-03	Rob_Dee	twopc	500000	50000000						5	0.010
2009-12-31	Matthias Wurtinger	WUR_E6600	1000000	100000000						100	0.412
2010-02-10	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	50000	5000000						4	0.001
2010-02-11	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	100000	10000000						1	0.000
2010-02-11	Rob_Dee	twopc	200000	20000000						1	0.001
2010-02-12	Rob_Dee	twopc	400000	40000000						1	0.002
2010-02-12	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-12	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-13	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-14	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-15	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-16	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-17	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-03-25	James Hintz	11_122109	1000000	100000000						30	0.123
2010-04-06	James Hintz	NEW_OMFG	1000000	100000000						11	0.045
2010-04-09	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-10	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-11	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-12	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-13	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-14	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-15	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-17	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-18	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-19	James Hintz	17_012210	1000000	100000000						11	0.045
2010-04-20	James Hintz	17_012210	1000000	100000000						11	0.045
2011-04-12	James Hintz	17_051310	1000000	100000000						11	0.045
2017-04-09	kkmrkkblmbrbk	kel1	1000000	100000000						1238	5.094
2019-01-29	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-01-31	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-03	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-05	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-07	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-09	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-11	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-14	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-16	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-20	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-24	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-26	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-01	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-03	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-07	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-08	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-09	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-11	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-17	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-19	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-23	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-28	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-31	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-06	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-22	storm5510	HP-Z220-CMT	3000000	300000000						3	0.037
2019-04-24	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-28	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-02	nordi	nordiputer	3000000	300000000						100	1.235
2019-05-04	nordi	nordiputer	11000000	1100000000						100	4.527

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