M6 908 507 Mersenne number exponent details

≡

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	138.4284	68.0556%	2500000	50000000	1.6087	5.4831%	140.0371	69.8071%
Target	2⁶⁷	4.3011	65.6716%	45000	900000	0.0290	2.2357%	4.3300	66.4391%
Difference	+5	+134.1273	+2.3839%	+2455000	+49100000	+1.5797	+3.2474%	+135.7071	+3.3680%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-02-11	ANONYMOUS	v4_computers	85000	85000		-		-	-	0.027	-	-	0.504%
2002-02-17	ANONYMOUS	v4_computers	35000	341250		-		-	-	0.016	-	-	0.798%
2007-01-16	Richard B. Woods	v4_computers	1025000	1025000		-		-	-	0.324	-	-	1.847%
2019-07-28	takahashi	asus	2500000	50000000		-		-	-	1.609	-	-	5.483%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-11	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.089	-	-
2006-11-09	Richard B. Woods	v4_computers	2¹	2⁶⁴		-	-	0.515	-	-
2008-08-18	Richard B. Woods	Manual testing	2¹	2⁶⁵		-	-	1.056	-	-
2008-08-26	Richard B. Woods	v4_computers	2¹	2⁶⁵		-	-	1.056	-	-
2014-01-17	lycorn	Manual testing	2⁶⁵	2⁶⁶		-	-	1.082	-	-
2014-03-28	ramgeis	Manual testing	2⁶⁶	2⁶⁷		-	-	2.163	-	-
2014-03-28	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	4.327	-	-
2014-03-28	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	8.653	-	-
2014-03-28	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	17.31	-	-
2016-01-06	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	34.61	-	-
2021-09-26	SRBase	Manual testing	2⁷¹	2⁷²		-	-	69.23	-	-

ECM factoring results:

Total ECM effort:	1.989 GHz-days
Estimated T-Level:	1.154

Digits	B1	Complete	FacMiss
20	11000	0.231	79.392%
25	50000	0.021	97.887%
30	250000	0.001	99.865%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		6	1.989

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2012-08-18	JimBa	Dell	50000	5000000						3	0.995
2017-03-27	Bruce	Desk7	50000	5000000						3	0.995

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Kevin D. Quitt		9FA4073A50ACBFAF	1.506
1999-11-10	ANONYMOUS	v4_computers	D60D88C99F0B65__	1.506
2001-03-11	ANONYMOUS	v4_computers	9FA4073A50ACBFAF	1.506
2002-03-31	ANONYMOUS	v4_computers	9FA4073A50ACBFAF	1.506

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 = 50000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 1025000 (P-1 stage 1)

B1 = 85000 (P-1 stage 1)

B1 = 35000, B2 = 341250 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

this exponent TF target: 67

TF double-checked to: 67.8

ECM T-Level=1.15 ~= -13-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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