M6 932 831 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	137.9427	68.0556%	4000000	456818670	9.0652	8.0796%	147.0079	70.6365%
Target	2⁶⁷	4.2860	65.6716%	45000	900000	0.0290	2.2370%	4.3149	66.4396%
Difference	+5	+133.6568	+2.3839%	+3955000	+455918670	+9.0362	+5.8426%	+142.6930	+4.1970%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-04-21	ANONYMOUS	v4_computers	80000	1480000		-		-	-	0.049	-	-	1.535%
2013-08-05	Nesowa	Outback	430000	11287500		-		-	-	0.323	-	-	3.379%
2021-06-02	Dylan Delgado	Manual testing	630000	18900000	12	-		-	-	0.514	-	-	3.948%
2021-12-02	Seth_Tr	Manual testing	4000000	456818670		-		-	-	9.065	-	-	8.080%

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	-	-
2007-09-28	Richard B. Woods	v4_computers	2¹	2⁶⁴		-	-	0.513	-	-
2008-02-03	Richard B. Woods	v4_computers	2¹	2⁶⁵		-	-	1.052	-	-
2014-01-17	lycorn	Manual testing	2⁶⁵	2⁶⁶		-	-	1.078	-	-
2014-03-28	ramgeis	Manual testing	2⁶⁶	2⁶⁷		-	-	2.156	-	-
2014-03-28	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	4.312	-	-
2014-03-28	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	8.623	-	-
2014-03-28	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	17.25	-	-
2016-01-06	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	34.49	-	-
2021-10-15	SRBase	Manual testing	2⁷¹	2⁷²		-	-	68.98	-	-

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
2012-10-21	Donna Noble	isk3225-test	50000	5000000						3	0.995
2017-04-07	Bruce	Desk7	50000	5000000						3	0.995

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Kevin D. Quitt		8A73C353D1753FB6	1.512
1999-09-22	ANONYMOUS	v4_computers	848EA5F96DAB03__	1.512
2001-04-15	ANONYMOUS	v4_computers	8A73C353D1753FB6	1.512
2001-05-27	ANONYMOUS	v4_computers	8A73C353D1753FB6	1.512

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 = 4000000, B2 = 456818670 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 630000, B2 = 18900000 (P-1 stage 2)

B1 = 430000, B2 = 11287500 (P-1 stage 2)

B1 = 630000 (P-1 stage 1)

B1 = 430000 (P-1 stage 1)

B1 = 80000, B2 = 1480000 (P-1 stage 2)

B1 = 80000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

this exponent TF target: 67

TF double-checked to: 67.7

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