M101 021 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	294.1360	74.6269%	1000000000	6735532633830	1,185.5068	25.4962%	1,479.6429	81.0961%
Target	2⁴⁴	0.0000	61.3636%	1200	18000	0.0000	4.1567%	0.0000	62.9696%
Difference	+23	+294.1360	+13.2632%	+999998800	+6735532615830	+1,185.5068	+21.3395%	+1,479.6429	+18.1264%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
101021	808169	6	19.624	4 2²	-	4	4	6.920e-13	1.289e-8	2.623e-8
101021	852415199	9	29.667	4219 4219	2008-07-26	1	4219	1.355e-9	7.437e-7	1.384e-6
101021	6789906874870053511	19	62.558	33606412898655 3 × 5 × 103 × 45053 × 482803	2008-08-26	45053	482803	6.3655	0.0002	0.0003
101021	71216868673691405044273	23	75.915	352485466752909816 2³ × 3³ × 1631877160893101	2010-03-28	27	1631877160893101	144,214	286,485	535,074

exponent	prime factors	composite factor	digits	bits*
101021	808169 852415199	688895538960631	15	49.291
101021	808169 6789906874870053511	5487392249156856275931359	25	82.182
101021	852415199 6789906874870053511	5787819819933824762719713689	28	92.225
101021	808169 71216868673691405044273	57555265539148509123225066137	29	95.539
101021	852415199 71216868673691405044273	60706341282641525095403573105327	32	105.582
101021	808169 852415199 6789906874870053511	4677536556056099224662428292325441	34	111.849
101021	808169 852415199 71216868673691405044273	49060983128051118694827210272959016263	38	125.206
101021	6789906874870053511 71216868673691405044273	483555906214215020696798637321894834092503	42	138.473
101021	808169 6789906874870053511 71216868673691405044273	390794893169235939061511057925798426173704057007	48	158.097
101021	852415199 6789906874870053511 71216868673691405044273	41219040402321543349605072909567181206003292915309 7	51	168.140
101021	808169 852415199 6789906874870053511 71216868673691405044273	33311950662903799367306982168251999268074475232072 9249393	57	187.764

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-11-02	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 808169 skipped known factor: 852415199 skipped known factor: 6789906874870053511	-	-	0.656	-	-	11.732%
2021-12-18	Seth_Tr	Manual testing	1000000000	6735532633830		-	skipped known factor: 808169 skipped known factor: 852415199 skipped known factor: 6789906874870053511	-	-	1,186	-	-	25.496%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-26	J Feitsma	Manual testing	?	?	852415199	29.667	9	6.46531e-10	0.000	1.37950e-9
2018-10-21	J.R. Allen	Manual testing	2⁵²	2⁵⁷		-	-	0.184	-	-
2022-04-13	LordJulius	Manual testing	2¹	2⁵⁷	808169 852415199	49.291	15	0.001	0.000	0.003
2022-04-13	LordJulius	Manual testing	2¹	2⁵⁷	808169	19.624	6	6.91984e-13	0.000	1.47649e-12
2022-04-13	LordJulius	Manual testing	2¹	2⁵⁷	852415199	29.667	9	1.35451e-9	0.000	2.89012e-9
2018-10-21	J.R. Allen	Manual testing	2⁵⁷	2⁵⁸		-	-	0.190	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.190	-	-
2018-10-21	J.R. Allen	Manual testing	2⁵⁸	2⁵⁹		-	-	0.380	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁸	2⁵⁹		-	-	0.380	-	-
2018-10-21	J.R. Allen	Manual testing	2⁵⁹	2⁶⁰		-	-	0.760	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁹	2⁶⁰		-	-	0.760	-	-
2022-04-13	LordJulius	Manual testing	2⁶⁰	2⁶¹		-	-	1.520	-	-
2022-04-13	LordJulius	Manual testing	2⁶¹	2⁶²		-	-	3.041	-	-
2022-11-07	LordJulius	Manual testing	2⁶²	2⁶³	6789906874870053511	62.558	19	0.284	0.000	0.577
2022-11-07	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	19.43	-	-
2022-11-07	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	36.99	-	-
2022-11-07	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	73.97	-	-
2022-11-07	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	147.9	-	-

ECM factoring results:

Total ECM effort:	12.595 GHz-days
Estimated T-Level:	30.756

Digits	B1	Complete	FacMiss
20	11000	82.451	0.000%
25	50000	12.936	0.000%
30	250000	1.545	21.335%
35	1000000	0.151	85.964%
40	3000000	0.013	98.746%

ECM Summary

B1	B2	factor	curves	GHz-days
		6789906874870053511	1	0.00000e+0
		71216868673691405044273	1	0.00000e+0
50000	5000000		280	0.650
250000	25000000		585	6.791
1000000	100000000		111	5.154

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-26	ANONYMOUS	Manual testing			6789906874870053511	62.558		1		1	-
2010-01-15	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-04	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-05	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-05	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-06	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-06	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-06	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-13	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-13	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-14	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-14	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-14	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-14	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-17	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-17	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-18	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-18	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-18	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-19	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-19	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-21	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-21	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-21	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-21	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-21	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-21	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-28	Rob_Dee	twopc			71216868673691405044273	75.915		1		1	-
2010-03-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-29	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-29	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-31	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-31	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-01	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-01	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-01	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-01	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-01	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-20	James Hintz	NEW_OMFG	50000	5000000						11	0.026
2014-05-13	TJAOI	Manual testing	50000	5000000						170	0.395
2017-02-13	kkmrkkblmbrbk	kel1	250000	25000000						585	6.791
2019-01-26	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-01-31	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-12	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-02-25	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-03-08	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-13	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-03-20	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-03-27	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-02	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-04-08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-16	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-05-03	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-05-17	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-05-29	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-09	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-20	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-07-08	Niels_Mache_Nextcloud		1000000	100000000						3	0.139
2019-07-26	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-02	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-09	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-17	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-24	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-31	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-09-08	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-09-15	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-22	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-30	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-07	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-15	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-10-30	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-11-06	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139

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

date	userid	compid	res64	spent (GHz-days)
2003-08-31	ANONYMOUS	v4_computers	2CE2D98C6CB7CA__	0.000
2003-10-23	ANONYMOUS	v4_computers	2CE2D98C6CB7CA__	0.000