M6 957 337 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	137.4569	68.0556%	4000000	456818670	9.0652	8.0823%	146.5220	70.6374%
Target	2⁶⁷	4.2709	65.6716%	45000	7200000	0.1375	2.2383%	4.4084	66.4400%
Difference	+5	+133.1860	+2.3839%	+3955000	+449618670	+8.9277	+5.8440%	+142.1136	+4.1974%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-07-03	ANONYMOUS	v4_computers	75000	806250		-		-	-	0.036	-	-	1.279%
2000-08-01	ANONYMOUS	v4_computers	75000	806250		-		-	-	0.036	-	-	1.279%
2001-10-20	ANONYMOUS	v4_computers	35000	341250		-		-	-	0.016	-	-	0.799%
2014-08-17	Nesowa	newfs	435000	11310000		-		-	-	0.325	-	-	3.388%
2021-11-05	Seth_Tr	Manual testing	2000000	58000000	12	-		-	-	1.597	-	-	5.521%
2021-12-04	Seth_Tr	Manual testing	4000000	456818670		-		-	-	9.065	-	-	8.082%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-29	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.088	-	-
2000-01-19	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.229	-	-
2014-02-09	Nesowa	Manual testing	2⁶³	2⁶⁴		-	-	0.282	-	-
2014-02-16	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.537	-	-
2015-06-26	VictordeHollander	Manual testing	2⁶⁵	2⁶⁶		-	-	1.074	-	-
2016-04-06	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	2.148	-	-
2018-05-23	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	4.296	-	-
2020-04-24	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	8.593	-	-
2021-08-01	takahashi	Manual testing	2⁶⁹	2⁷⁰		-	-	17.19	-	-
2021-08-12	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	34.37	-	-
2021-09-25	SRBase	Manual testing	2⁷¹	2⁷²		-	-	68.74	-	-

ECM factoring results:

Total ECM effort:	2.321 GHz-days
Estimated T-Level:	1.346

Digits	B1	Complete	FacMiss
20	11000	0.269	76.397%
25	50000	0.025	97.540%
30	250000	0.002	99.843%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		7	2.321

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2012-09-06	Donna Noble	i7-2600k	50000	5000000						7	2.321

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-26	ANONYMOUS	v4_computers	DBA4FA65301310__	1.517
2000-07-17	ANONYMOUS	v4_computers	939B0F2634BA0C88	1.517
2000-08-01	ANONYMOUS	v4_computers	939B0F2634BA0C88	1.517
2001-12-22	ANONYMOUS	v4_computers	939B0F2634BA0C88	1.517

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 = 2000000, B2 = 58000000 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 2000000 (P-1 stage 1)

B1 = 435000, B2 = 11310000 (P-1 stage 2)

B1 = 435000 (P-1 stage 1)

B1 = 75000, B2 = 806250 (P-1 stage 2)

B1 = 75000 (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

10⁹

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

this exponent TF target: 67

TF double-checked to: 67.8

ECM T-Level=1.35 ~= -12-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