M6 998 501 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	136.6484	68.0556%	2000000	241618650	4.7601	6.9176%	141.4085	70.2653%
Target	2⁶⁷	4.2458	65.6716%	45000	7200000	0.1375	2.2405%	4.3832	66.4408%
Difference	+5	+132.4026	+2.3839%	+1955000	+234418650	+4.6226	+4.6771%	+137.0252	+3.8246%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-22	ANONYMOUS	v4_computers	30000	30000		-		-	-	0.009	-	-	0.235%
2011-09-09	Carsten Kossendey	mother	445000	13683750		-		-	-	0.369	-	-	3.535%
2021-11-07	Seth_Tr	Manual testing	2000000	58000000	12	-		-	-	1.597	-	-	5.525%
2021-12-06	Seth_Tr	Manual testing	2000000	241618650		-		-	-	4.760	-	-	6.918%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-21	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.088	-	-
2005-09-22	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.228	-	-
2014-02-09	Nesowa	Manual testing	2⁶³	2⁶⁴		-	-	0.281	-	-
2014-02-14	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.534	-	-
2015-07-03	VictordeHollander	Manual testing	2⁶⁵	2⁶⁶		-	-	1.068	-	-
2016-04-28	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	2.136	-	-
2018-02-27	-Anonymous-	Manual testing	2⁶⁷	2⁶⁸		-	-	4.271	-	-
2020-04-03	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	8.542	-	-
2020-07-29	takahashi	Manual testing	2⁶⁹	2⁷⁰		-	-	17.08	-	-
2020-09-22	takahashi	Manual testing	2⁷⁰	2⁷¹		-	-	34.17	-	-
2021-09-26	SRBase	Manual testing	2⁷¹	2⁷²		-	-	68.34	-	-

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
2012-09-21	Arne Kleppestrand	RJ2	50000	5000000						3	0.995
2017-05-19	arnaud	snd-15-157	50000	5000000						3	0.995

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-26	ANONYMOUS	v4_computers	52DBB34E56643B__	1.526
1999-08-31	ANONYMOUS	v4_computers	AC287011A0501D82	1.526
2002-01-08	ANONYMOUS	v4_computers	AC287011A0501D82	1.526

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 = 2000000, B2 = 241618650 (P-1 stage 2)

B1 = 2000000, B2 = 58000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 445000, B2 = 13683750 (P-1 stage 2)

B1 = 445000 (P-1 stage 1)

B1 = 30000 (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=1.15 ~= -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