M2 208 991 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁰	108.1718	68.5714%	10000000	51708608490	269.4889	14.9601%	377.6607	73.2732%
Target	2⁶²	0.2781	64.5161%	11000	850000	0.0054	1.6013%	0.2835	65.0843%
Difference	+8	+107.8937	+4.0553%	+9989000	+51707758490	+269.4835	+13.3588%	+377.3772	+8.1888%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2208991	455623013048493530851769178958692471076351	42	138.387	103129214435118461517446014709587425 3⁶ × 5² × 389 × 907 × 142873 × 223247 × 227569 × 2209573169	2023-06-04	227569	2209573169	7.878e+10	11.498	21.436

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-16	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.146%
2010-11-05	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.137%
2010-11-10	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.254%
2011-01-08	markr	tiny	90000	1665000		-		-	-	0.017	-	-	1.737%
2014-06-24	Jocelyn Larouche	Manual testing	119056	119056		-		-	-	0.011	-	-	0.671%
2014-10-17	Jocelyn Larouche	Manual testing	148112	148112		-		-	-	0.014	-	-	0.764%
2015-11-11	Alexander Dubrovin	Manual testing	1000000	2500000	6	-		-	-	0.103	-	-	2.690%
2015-12-08	Alexander Dubrovin	Manual testing	2000000	15000000	12	-		-	-	0.258	-	-	4.467%
2015-12-09	Alexander Dubrovin	Manual testing	2000000	65000000	12	-		-	-	0.518	-	-	5.920%
2019-12-26	mikr	MSI	5000000	200000000	12	-		-	-	1.490	-	-	7.666%
2023-02-20	Jocelyn Larouche	Manual testing	1000000	900310950		-		-	-	4.767	-	-	7.949%
2023-06-04	Jocelyn Larouche	Manual testing	1000000	4524839550			455623013048493530851769178958692471076351	42	138.387	23.59	0.290	47.19	9.530%
2023-08-11	Sid & Andy	Magic_8_Ball	10000000	51708608490			455623013048493530851769178958692471076351	42	138.387	269.5	0.290	539.0	14.960%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-02-07	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.052	-	-
2009-01-03	Sturle Sunde	buxtehude.ifi	2⁶⁰	2⁶¹		-	-	0.070	-	-
2009-01-08	Sturle Sunde	dittersdorf.ifi	2⁶¹	2⁶²		-	-	0.139	-	-
2013-01-23	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.444	-	-
2015-03-06	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.889	-	-
2015-03-06	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.691	-	-
2015-10-22	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.383	-	-
2016-12-12	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.766	-	-
2019-05-06	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.53	-	-
2021-06-24	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	27.06	-	-
2022-12-22	Architects Cubed	GPU72_TF	2⁶⁹	2⁷⁰		-	-	54.13	-	-

ECM factoring results:

Total ECM effort:	17.675 GHz-days
Estimated T-Level:	23.654

Digits	B1	Complete	FacMiss
20	11000	7.891	0.037%
25	50000	0.731	48.157%
30	250000	0.046	95.492%
35	1000000	0.002	99.785%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	179	15.33
50000	5150000	7	0.607
50000	5300000	4	0.351
50000	6750000	7	0.686
50000	7000000	7	0.698

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-09	Matt	Dell	50000	5000000						3	0.257
2009-12-16	KAMCOBILL	PC01	50000	5000000						3	0.257
2011-09-14	S36049	Wolle5	50000	5000000						3	0.257
2013-06-04	hiems	Laptop	50000	5000000						3	0.257
2015-03-19	OS1	L3	50000	5000000						3	0.257
2016-01-21	gadd	2	50000	5000000						3	0.257
2016-03-13	Bruce	Desk6	50000	5000000						3	0.257
2016-07-02	Bruce	Desk6	50000	5000000						3	0.257
2016-11-17	Bruce	Desk6	50000	5000000						3	0.257
2017-05-01	Bruce	Desk6	50000	5000000						3	0.257
2017-11-20	Sebastian Hornbostel	V2	50000	5000000						3	0.257
2018-04-03	Bruce	Desk6	50000	5000000						3	0.257
2018-10-05	Bruce	Desk6	50000	5000000						3	0.257
2020-02-07	EricP	Cannonfodder	50000	5000000						3	0.257
2020-02-15	mnd9	50871b	50000	5000000						3	0.257
2020-02-22	Keysarecool	Boat_Anchor	50000	5000000						3	0.257
2020-02-29	mnd9	25836b	50000	5000000						3	0.257
2020-03-07	mnd9	colab2	50000	5000000						3	0.257
2020-03-13	MarkS	desktop-i7	50000	5000000						3	0.257
2020-03-21	mnd9	libproj	50000	5000000						3	0.257
2020-04-02	MarkS	laptop64	50000	5000000						3	0.257
2020-04-16	Sergey Nosov	TS140-02	50000	5000000						3	0.257
2020-04-26	Bommer	3900X	50000	5000000						3	0.257
2020-05-04	daveward2005	Davy	50000	5000000						3	0.257
2020-05-15	mnd9	eileen	50000	5000000						3	0.257
2020-06-01	alpertron	laptop3	50000	5000000						3	0.257
2020-06-22	GAN	KL-SCH02	50000	5000000						3	0.257
2020-07-01	GAN	LMS-04	50000	5000000						3	0.257
2020-07-07	GAN	LMS-16	50000	5000000						3	0.257
2020-07-14	GAN	LMS-15	50000	5000000						3	0.257
2020-07-20	GAN	LMS-12	50000	5000000						3	0.257
2020-07-27	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.257
2020-08-02	GAN	LMS-07	50000	5000000						3	0.257
2020-08-10	GAN	LMS-14	50000	5000000						3	0.257
2020-08-26	mnd9	75211frontb	50000	5000000						7	0.600
2020-10-02	LaurV	debilis	50000	5000000						7	0.600
2020-10-26	daveward2005	MW	50000	5000000						7	0.600
2020-11-30	lycorn	colab_A	50000	5000000						7	0.600
2021-01-02	lycorn	colab_DG	50000	6750000						7	0.686
2021-01-07	Cork	Manual testing	50000	5000000						7	0.600
2021-03-08	mnd9	50869	50000	5000000						7	0.600
2021-04-14	tottenhoff	Garage-Band-003	50000	5000000						7	0.600
2021-06-06	kutens	arcturus	50000	5150000						7	0.607
2021-07-15	C.D.B.	i7-6850K	50000	5000000						7	0.600
2021-09-05	daveward2005	d12436	50000	5000000						7	0.600
2021-12-12	Zabe	Neodymium	50000	5000000						7	0.600
2022-03-15	daveward2005	Dave2	50000	5000000						7	0.600
2022-06-14	tonyw	Doh_002	50000	7000000						7	0.698
2023-02-23	Alexander Dubrovin	Manual testing	50000	5300000						4	0.351

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Thomas Womack		0430348A300A49B7	0.145
1999-03-15	ANONYMOUS	v4_computers	0430348A300A49B7	0.145
2018-04-17	kkmrkkblmbrbk	old	0430348A300A49B7	0.145

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 = 10000000, B2 = 51708608490 (P-1 stage 2)

B1 = 1000000, B2 = 4524839550 (P-1 stage 2)

B1 = 1000000, B2 = 900310950 (P-1 stage 2)

B1 = 5000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 2000000, B2 = 65000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 2000000, B2 = 15000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1000000, B2 = 2500000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 90000, B2 = 1665000 (P-1 stage 2)

B1 = 148112 (P-1 stage 1)

B1 = 119056 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000 (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

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