M1 150 927 Mersenne number exponent details

Residue

Status

L-L

BEABD5179C4A8A82

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	25.8174	68.6567%	500000	10000000	0.0437	4.4273%	25.8611	70.0444%
Target	2⁶⁰	0.1334	65.0000%	5000	26000	0.0003	0.7710%	0.1337	65.2698%
Difference	+7	+25.6839	+3.6567%	+495000	+9974000	+0.0435	+3.6563%	+25.7274	+4.7745%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

25.8174

68.6567%

500000

10000000

0.0437

4.4273%

25.8611

70.0444%

Target

2⁶⁰

0.1334

65.0000%

5000

26000

0.0003

0.7710%

0.1337

65.2698%

Difference

+25.6839

+3.6567%

+495000

+9974000

+0.0435

+3.6563%

+25.7274

+4.7745%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1150927	5819577457051932186961	22	72.301	2528213108673240 2³ × 3² × 5 × 2647 × 2653122097	2014-07-26	2647	2653122097	1,327.4	6.2123	11.603

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1150927

5819577457051932186961

72.301

2528213108673240
2³ × 3² × 5 × 2647 × 2653122097

2014-07-26

2647

2653122097

1,327.4

6.2123

11.603

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-11-15	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.004	-	-	1.743%
2012-02-02	markr	tiny	500000	10000000		-		-	-	0.044	-	-	4.427%
2016-03-17	alpertron	Manual testing	300000	10000000	12	-		-	-	0.036	-	-	4.139%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-12	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.008	-	-
2001-11-14	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2003-05-04	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.033	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.100	-	-
2009-04-15	Sturle Sunde	graun.ifi	2⁶⁰	2⁶¹		-	-	0.133	-	-
2011-05-09	Xyzzy	Manual testing	2⁶¹	2⁶²		-	-	0.267	-	-
2012-10-07	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.853	-	-

ECM factoring results:

Total ECM effort:	17.747 GHz-days
Estimated T-Level:	25.658

Digits	B1	Complete	FacMiss
20	11000	14.808	0.000%
25	50000	1.620	19.795%
30	250000	0.132	87.678%
35	1000000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		279	9.88
50000	5000000	5819577457051932186961	2	0.071
250000	25000000		44	7.793

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-09	Chad Davis	Bayes	50000	5000000						1	0.035
2008-06-12	Sturle Sunde	v21	50000	5000000						3	0.106
2009-01-02	Sturle Sunde	v21	50000	5000000						3	0.106
2009-06-03	Lukasz Wrobel	WORKER-1	50000	5000000						3	0.106
2009-09-13	symallad	old_laptop	50000	5000000						3	0.106
2010-01-05	Geoff Wing	GW1	50000	5000000						3	0.106
2010-07-01	Charles A. Morris	magnetar	50000	5000000						3	0.106
2011-02-24	Bruce	dell-gx260	50000	5000000						3	0.106
2011-11-09	OS1	Tina	50000	5000000						3	0.106
2012-07-17	soldake		50000	5000000						3	0.106
2013-01-29	OS1	Tina	50000	5000000						3	0.106
2013-10-01	jim f in mn	asus	50000	5000000						3	0.106
2014-02-06	OS1	Tina	50000	5000000						3	0.106
2014-03-08	Bruce	snowflake	50000	5000000						3	0.106
2014-07-26	Xyzzy	jv	50000	5000000	5819577457051932186961	72.301	2	2		2	0.071
2017-09-01	TJAOI	Manual testing	50000	5000000						98	3.471
2018-09-07	TJAOI	Manual testing	50000	5000000						141	4.995
2020-08-21	TJAOI	Manual testing	250000	25000000						44	7.793

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Morris Thompson		BEABD5179C4A8A82	0.034
2001-06-23	ANONYMOUS	v4_computers	BEABD5179C4A8A82	0.034

date

userid

compid

res64

spent (GHz-days)

1997-01-01

Morris Thompson

BEABD5179C4A8A82

0.034

2001-06-23

ANONYMOUS

v4_computers

BEABD5179C4A8A82

0.034

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-29

Oliver Kruse

GTX-1

5819577457051932186961

E12A58F4DC639D__

2017-10-17

Oliver Kruse

Threadripper

5819577457051932186961

E12A58F4DC639D__

2018-01-02

ATH

ec2-1xf

5819577457051932186961

E12A58F4DC639D__

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 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 300000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 300000 (P-1 stage 1)

B1 = 50000, B2 = 1000000 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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