M2095099 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	28.4497	69.1176%	2500000	125000000	0.8746	7.8965%	29.3243	71.5563%	2.4386%
PrimeNet	2⁵⁸	0.0183	63.7931%	9000	160000	0.0016	2.6766%	0.0200	64.7622%	0.9691%
GPU72	2⁶²	0.2932	66.1290%	9000	140000	0.0015	1.4010%	0.2948	66.6036%	0.4745%
Difference	+6	+28.1564	+2.9886%	+2491000	+124860000	+0.8731	+6.4955%	+29.0295	+4.9527%	+4.9527%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2095099	404719811258648472794566649597959	33	108.319	96587276128395000139508121 3² × 7 × 701 × 5620907 × 389094374125081	2021-03-12	5620907	389094374125081	8.091e+10	2,021,054	3,774,765

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-27T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.223%
2009-07-27T06:40:00	harlee	P4_2600	20000	260000		-		-	-	0.003	-	-	0.877%
2010-12-28T23:08:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.351%
2011-01-09T14:30:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.510%
2011-01-22T10:08:00	James Heinrich	Q6600	140000	3150000		-		-	-	0.029	-	-	2.794%
2016-07-27T10:56:35	Jocelyn Larouche	Manual testing	186340	6300000	12	-		-	-	0.050	-	-	3.411%
2016-11-05T16:28:43	Jocelyn Larouche	low 4M	223608	223608		-		-	-	0.021	-	-	1.240%
2016-11-10T03:36:30	Jocelyn Larouche	low 4M	268329	268329		-		-	-	0.026	-	-	1.358%
2017-05-24T17:32:48	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.896%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:05	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.055	-	-
2009-01-02T20:39:00	Sturle Sunde	nardi.ifi	2⁶⁰	2⁶¹		-	-	0.073	-	-
2012-03-23T22:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.147	-	-
2013-09-04T10:21:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.469	-	-
2015-04-10T15:56:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.937	-	-
2015-04-10T15:56:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.783	-	-
2015-11-02T09:33:36	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.567	-	-
2016-09-22T02:15:58	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.134	-	-
2019-04-01T03:15:25	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.27	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.941 GHz-days
Estimated T-Level:	22.893

Digits	B1	Curves	Complete	FacMiss
20	11000	162 / 100	1.620	19.629%
25	50000	162 / 280	0.579	56.012%

New Calculation Method

Total ECM effort:	13.941 GHz-days
Estimated T-Level:	22.893

Digits	B1	Complete	FacMiss
20	11000	6.259	0.191%
25	50000	0.580	55.973%
30	250000	0.037	96.396%
35	1000000	0.002	99.828%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		159	13.53
50000	5000000	404719811258648472794566649597959	2	0.170
76620	24176890		1	0.245

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-08T12:35:00	Matt	Dell	50000	5000000						3	0.255
2009-11-06T12:11:00	S04803	W323	50000	5000000						3	0.255
2011-06-09T14:24:00	James Hintz	ryan	50000	5000000						3	0.255
2013-03-27T20:07:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.255
2014-10-02T18:42:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.255
2015-07-29T15:58:00	guru	w1	50000	5000000						3	0.255
2016-02-21T02:40:39	Bruce	Desk6	50000	5000000						3	0.255
2016-05-24T10:25:24	lettp	Home	50000	5000000						3	0.255
2016-08-12T10:01:48	Bruce	test	50000	5000000						3	0.255
2017-01-23T11:29:56	Bruce	Desk6	50000	5000000						3	0.255
2017-08-13T23:46:39	Bruce	Desk6	50000	5000000						3	0.255
2017-12-30T01:20:01	alphaLONE	7ubuSTEC	50000	5000000						3	0.255
2018-06-09T16:59:37	Bruce	Desk6	50000	5000000						3	0.255
2019-02-27T10:58:54	zar	eng1	50000	5000000						3	0.255
2020-01-06T08:06:09	Keysarecool	HPLaptop	50000	5000000						3	0.255
2020-01-14T11:01:04	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2020-01-21T04:05:59	mnd9	kitchen	50000	5000000						3	0.255
2020-01-27T01:56:54	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2020-02-04T20:20:36	daveward2005	Davy	50000	5000000						3	0.255
2020-02-13T06:39:53	cappy95833	HomePC	50000	5000000						3	0.255
2020-02-20T09:23:35	daveward2005	MW	50000	5000000						3	0.255
2020-02-26T21:22:01	mnd9	office2	50000	5000000						3	0.255
2020-03-04T15:32:20	MarkS	desktop-i7	50000	5000000						3	0.255
2020-03-11T08:43:35	daveward2005	Davy	50000	5000000						3	0.255
2020-03-18T22:57:24	daveward2005	Davy	50000	5000000						3	0.255
2020-03-30T10:22:45	mnd9	221Rb	50000	5000000						3	0.255
2020-04-11T17:58:29	EricP	Cannonfodder	50000	5000000						3	0.255
2020-04-23T17:56:08	nordi	sweet16	50000	5000000						3	0.255
2020-05-01T03:21:48	nordi	sweet16	50000	5000000						3	0.255
2020-05-12T07:13:07	Keysarecool	Boat_Anchor	50000	5000000						3	0.255
2020-05-28T01:18:23	mnd9	libproj	50000	5000000						3	0.255
2020-06-16T03:52:47	Sergey Nosov	TS140-02	50000	5000000						3	0.255
2020-06-29T08:53:34	GAN	AC-KL	50000	5000000						3	0.255
2020-07-06T01:44:19	GAN	GAN-HP	50000	5000000						3	0.255
2020-07-12T13:02:38	GAN	LMS-16	50000	5000000						3	0.255
2020-07-19T21:03:54	GAN	KL-SCH05	50000	5000000						3	0.255
2020-07-24T15:19:15	GAN	LMS-06	50000	5000000						3	0.255
2020-07-31T17:32:47	GAN	PG-HP	50000	5000000						3	0.255
2020-08-08T11:34:45	GAN	LMS-12	50000	5000000						3	0.255
2020-08-17T15:30:24	GAN	OSB-02	50000	5000000						7	0.595
2020-09-19T16:47:58	GAN	AC-KL	50000	5000000						7	0.595
2020-10-19T01:44:29	J.R. Allen	lapasus	50000	5000000						7	0.595
2020-11-09T21:37:46	Bruno Victal	Manual testing	76620	24176890						1	0.245
2020-12-10T13:54:42	Zenzoma	AM3700X_1	50000	5000000						7	0.595
2021-01-12T01:57:17	Zenzoma	AMD3970X	50000	5000000						7	0.595
2021-02-11T16:13:34	RIHATEC	i7-3770K	50000	5000000						7	0.595
2021-03-12T09:53:23	Zenzoma	AMD3970X	50000	5000000	404719811258648472794566649597959	108.319	2	2	6809891097983913	2	0.170

date	userid	compid	res64	spent (GHz-days)
1999-02-21T00:00:00	ANONYMOUS	v4_computers	830FB4DC78A623DF	0.138
2017-06-13T00:16:33	kkmrkkblmbrbk	c4.large	830FB4DC78A623DF	0.138

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 186340, B2 = 6300000 (P-1 stage 2)

B1 = 140000, B2 = 3150000 (P-1 stage 2)

B1 = 268329 (P-1 stage 1)

B1 = 223608 (P-1 stage 1)

B1 = 186340 (P-1 stage 1)

B1 = 140000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 20000, B2 = 260000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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