M6 915 607 Mersenne number exponent details

Residue

Status

L-L

18B66FDEC614385B

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	138.2863	68.0556%	2500000	50000000	1.6087	5.4837%	139.8950	69.8073%
Target	2⁶⁷	4.2966	65.6716%	45000	900000	0.0290	2.2361%	4.3256	66.4392%
Difference	+5	+133.9896	+2.3839%	+2455000	+49100000	+1.5797	+3.2476%	+135.5694	+3.3680%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷²

138.2863

68.0556%

2500000

50000000

1.6087

5.4837%

139.8950

69.8073%

Target

2⁶⁷

4.2966

65.6716%

45000

900000

0.0290

2.2361%

4.3256

66.4392%

Difference

+133.9896

+2.3839%

+2455000

+49100000

+1.5797

+3.2476%

+135.5694

+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
2001-08-26	ANONYMOUS	v4_computers	35000	341250		-		-	-	0.016	-	-	0.798%
2011-11-20	James Heinrich	i7-920	130000	2665000		-		-	-	0.085	-	-	1.985%
2019-08-23	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
1998-07-21	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.044	-	-
1998-10-25	Matt Perry	v4_computers	2¹	2⁶²		-	-	0.089	-	-
1999-10-29	Matt Perry	v4_computers	2¹	2⁶²		-	-	0.089	-	-
2001-11-03	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		-	-	4.322	-	-
2020-05-15	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	8.644	-	-
2021-07-18	takahashi	Manual testing	2⁶⁹	2⁷⁰		-	-	17.29	-	-
2021-08-11	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	34.58	-	-
2021-09-25	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
2012-08-14	MadPoo	IntLAVH03	50000	5000000						3	0.995
2017-04-12	jafarism	jafarism-r02	50000	5000000						3	0.995

date	userid	compid	res64	spent (GHz-days)
1999-03-15	ANONYMOUS	v4_computers	18B66FDEC614385B	1.508
2001-12-22	ANONYMOUS	v4_computers	18B66FDEC614385B	1.508

date

userid

compid

res64

spent (GHz-days)

1999-03-15

ANONYMOUS

v4_computers

18B66FDEC614385B

1.508

2001-12-22

ANONYMOUS

v4_computers

18B66FDEC614385B

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 = 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

2⁶³

2⁶²

2⁶¹

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