M2 297 573 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁹	51.9621	68.1159%	9600000	49498834770	265.0589	15.8429%	317.0211	73.1673%
Target	2⁶²	0.2674	64.5161%	12000	1000000	0.0064	1.7372%	0.2738	65.1325%
Difference	+7	+51.6947	+3.5998%	+9588000	+49497834770	+265.0525	+14.1057%	+316.7472	+8.0348%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-08-08	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.185%
2010-11-07	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.167%
2010-11-15	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.217%
2010-12-04	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.585%
2011-01-17	Oscar Östlin		90000	1755000		-		-	-	0.018	-	-	2.006%
2014-07-18	Jocelyn Larouche	Manual testing	117936	117936		-		-	-	0.012	-	-	0.775%
2014-10-18	Jocelyn Larouche	Manual testing	145872	145872		-		-	-	0.014	-	-	0.876%
2016-02-13	Jocelyn Larouche	Manual testing	405950	4059500	6	-		-	-	0.059	-	-	3.157%
2019-11-21	BigBrother	Winston	3000000	90000000	12	-		-	-	0.758	-	-	7.076%
2022-12-30	Jocelyn Larouche	Manual testing	1000000	571651080		-		-	-	3.143	-	-	8.210%
2023-03-12	Jocelyn Larouche	Manual testing	1000000	6014071140		-		-	-	32.19	-	-	10.650%
2023-08-25	Sid & Andy	Magic_8_Ball	9600000	49498834770		-		-	-	265.1	-	-	15.843%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-07	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.050	-	-
2009-01-15	Sturle Sunde	gonsha.ifi	2⁶⁰	2⁶¹		-	-	0.067	-	-
2012-05-12	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.134	-	-
2013-12-07	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.427	-	-
2015-03-12	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.855	-	-
2015-03-12	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.626	-	-
2015-11-04	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.252	-	-
2017-05-27	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.505	-	-
2019-03-25	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.01	-	-
2021-06-10	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	26.02	-	-

ECM factoring results:

Total ECM effort:	22.131 GHz-days
Estimated T-Level:	24.383

Digits	B1	Complete	FacMiss
20	11000	9.488	0.008%
25	50000	0.877	41.621%
30	250000	0.055	94.624%
35	1000000	0.003	99.742%

ECM Summary

B1	B2	curves	GHz-days
50000	50000	7	0.365
50000	5000000	231	20.44
50000	5300000	7	0.635
50000	6450000	7	0.694

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-20	ksims	ZhViZCJBe1505	50000	5000000						3	0.265
2010-01-14	James Hintz	14_091909	50000	5000000						3	0.265
2011-11-18	Dmitry B. Khachaturov	dix-home	50000	5000000						3	0.265
2014-02-24	arnaud	srv-630	50000	5000000						3	0.265
2015-04-12	Jason U	Server7	50000	5000000						3	0.265
2016-02-13	Sintax	cloud2	50000	5000000						3	0.265
2016-04-17	Bruce	Desk6	50000	5000000						3	0.265
2016-08-04	Bruce	Desk6	50000	5000000						3	0.265
2017-01-04	Bruce	Desk6	50000	5000000						3	0.265
2017-08-14	Bruce	Desk6	50000	5000000						3	0.265
2018-01-16	Bruce	Desk6	50000	5000000						3	0.265
2018-07-14	Bruce	Desk6	50000	5000000						3	0.265
2019-10-07	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.265
2020-03-06	Alvin Bunk	BADCAT	50000	5000000						3	0.265
2020-03-12	mnd9	office2	50000	5000000						3	0.265
2020-03-20	Nesowa	6700T	50000	5000000						3	0.265
2020-04-01	mnd9	fb	50000	5000000						3	0.265
2020-04-15	Sergey Nosov	TS140-02	50000	5000000						3	0.265
2020-04-25	nordi	sweet16	50000	5000000						3	0.265
2020-05-03	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.265
2020-05-15	mnd9	50871b	50000	5000000						3	0.265
2020-05-31	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.265
2020-06-21	nordi	sweet16	50000	5000000						3	0.265
2020-06-30	daveward2005	MW	50000	5000000						3	0.265
2020-07-08	Nesowa	6700T	50000	5000000						3	0.265
2020-07-13	GAN	LMS-16	50000	5000000						3	0.265
2020-07-21	nordi	sweet16	50000	5000000						3	0.265
2020-07-26	GAN	LMS-08	50000	5000000						3	0.265
2020-08-02	GAN	LMS-11	50000	5000000						3	0.265
2020-08-10	GAN	LMS-14	50000	5000000						3	0.265
2020-08-26	GAN	KL-SCH02	50000	5000000						7	0.619
2020-09-29	GAN		50000	50000						7	0.365
2020-10-03	mnd9	50871b	50000	5000000						7	0.619
2020-10-30	IanGlencross	glenx24	50000	5000000						7	0.619
2020-12-05	daveward2005	Davy	50000	5000000						7	0.619
2021-01-10	mnd9	75211frontb	50000	5000000						7	0.619
2021-02-06	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.619
2021-05-06	Zenzoma	AMD3970X	50000	5000000						7	0.619
2021-06-04	daveward2005	Dave2	50000	5000000						7	0.619
2021-06-12	kutens	capella	50000	6450000						7	0.694
2021-07-20	tottenhoff	Garage-Band-003	50000	5000000						7	0.619
2021-11-10	MarkS	laptop64	50000	5000000						7	0.619
2021-12-02	daveward2005	d12436	50000	5000000						7	0.619
2022-03-23	daveward2005	Dave2	50000	5000000						7	0.619
2022-06-23	daveward2005	d12436	50000	5000000						7	0.619
2022-09-23	Haruchika.M	prime377san	50000	5300000						7	0.635
2023-06-19	daveward2005	d12436	50000	5000000						50	4.424

date	userid	compid	res64	spent (GHz-days)
1998-11-07	ANONYMOUS	v4_computers	72ABEDF11D7A3E8F	0.155
1999-03-15	ANONYMOUS	v4_computers	72ABEDF11D7A3E8F	0.155
2018-04-30	kkmrkkblmbrbk	old	72ABEDF11D7A3E8F	0.155

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 = 9600000, B2 = 49498834770 (P-1 stage 2)

B1 = 1000000, B2 = 6014071140 (P-1 stage 2)

B1 = 1000000, B2 = 571651080 (P-1 stage 2)

B1 = 9600000 (P-1 stage 1)

B1 = 3000000, B2 = 90000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 405950, B2 = 4059500 (P-1 stage 2)

B1 = 405950 (P-1 stage 1)

B1 = 90000, B2 = 1755000 (P-1 stage 2)

B1 = 145872 (P-1 stage 1)

B1 = 117936 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 75011 (P-1 stage 1)

B1 = 20000 (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