M6 914 923 Mersenne number exponent details

≡

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	138.3000	68.0556%	2500000	50000000	1.6087	5.4836%	139.9087	69.8073%
Target	2⁶⁷	4.2971	65.6716%	45000	900000	0.0290	2.2360%	4.3260	66.4392%
Difference	+5	+134.0029	+2.3839%	+2455000	+49100000	+1.5797	+3.2476%	+135.5826	+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
2001-08-31	TeraTism	v4_computers	25000	87500		-		-	-	0.009	-	-	0.431%
2001-09-10	ANONYMOUS	v4_computers	30000	270000		-		-	-	0.014	-	-	0.704%
2011-11-20	James Heinrich	i7-920	130000	2665000		-		-	-	0.085	-	-	1.985%
2019-08-31	takahashi	asus	2500000	50000000		-		-	-	1.609	-	-	5.484%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-05	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.089	-	-
2005-02-02	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.231	-	-
2014-02-09	Nesowa	Manual testing	2⁶³	2⁶⁴		-	-	0.284	-	-
2014-02-17	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.540	-	-
2015-06-26	VictordeHollander	Manual testing	2⁶⁵	2⁶⁶		-	-	1.081	-	-
2016-04-02	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	2.161	-	-
2018-02-26	-Anonymous-	Manual testing	2⁶⁷	2⁶⁸		-	-	4.323	-	-
2020-05-15	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	8.645	-	-
2021-07-18	takahashi	Manual testing	2⁶⁹	2⁷⁰		-	-	17.29	-	-
2021-08-10	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	34.58	-	-
2021-09-28	SRBase	Manual testing	2⁷¹	2⁷²		-	-	69.16	-	-

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
2012-08-13	JimBa	Dell	50000	5000000						3	0.995
2017-03-30	nranks	wlaptop	50000	5000000						3	0.995

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-15	ANONYMOUS	v4_computers	2044421B7B10F7__	1.508
1999-06-26	ANONYMOUS	v4_computers	6DA02CD77FEBD328	1.508
2001-10-20	ANONYMOUS	v4_computers	6DA02CD77FEBD328	1.508

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 = 130000, B2 = 2665000 (P-1 stage 2)

B1 = 130000 (P-1 stage 1)

B1 = 30000, B2 = 270000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 25000, B2 = 87500 (P-1 stage 2)

B1 = 25000 (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

2⁶³

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