M1487599 Mersenne number exponent details

Residue

Status

L-L

F2BA5D6A51F2BE66

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	19.9744	68.6567%	2000000	60000000	0.3342	7.2482%	20.3086	70.9286%	2.2718%
PrimeNet	2⁵⁷	0.0129	63.1579%	6500	100000	0.0008	2.3365%	0.0137	64.0187%	0.8608%
GPU72	2⁶¹	0.2065	65.5738%	6000	50000	0.0005	0.9462%	0.2070	65.8995%	0.3257%
Difference	+6	+19.7679	+3.0829%	+1994000	+59950000	+0.3337	+6.3021%	+20.1016	+5.0290%	+5.0290%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

19.9744

68.6567%

2000000

60000000

0.3342

7.2482%

20.3086

70.9286%

2.2718%

PrimeNet

2⁵⁷

0.0129

63.1579%

6500

100000

0.0008

2.3365%

0.0137

64.0187%

0.8608%

GPU72

2⁶¹

0.2065

65.5738%

6000

50000

0.0005

0.9462%

0.2070

65.8995%

0.3257%

Difference

+19.7679

+3.0829%

+1994000

+59950000

+0.3337

+6.3021%

+20.1016

+5.0290%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1487599	159157161993616070026049	24	77.075	53494645396244576 2⁵ × 223 × 2767 × 2709232723	2015-10-31	2767	2709232723	35,255	9.560	17.855
1487599	580280428929208057899262359679	30	98.873	195039264253743131683761 3² × 23 × 104383 × 1719967 × 5248096543	2019-05-10	1719967	5248096543	6.968e+10	18.624	34.588

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1487599

159157161993616070026049

77.075

53494645396244576
2⁵ × 223 × 2767 × 2709232723

2015-10-31

2767

2709232723

35,255

9.560

17.855

1487599

580280428929208057899262359679

98.873

195039264253743131683761
3² × 23 × 104383 × 1719967 × 5248096543

2019-05-10

1719967

5248096543

6.968e+10

18.624

34.588

exponent	prime factors	composite factor	digits	bits*
1487599	159157161993616070026049 580280428929208057899262359679	92355786228810983779239964756044973742392326737278 271	53	175.947

exponent

prime factors

composite factor

digits

bits*

1487599

159157161993616070026049
580280428929208057899262359679

92355786228810983779239964756044973742392326737278
271

175.947

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-29T00:00:00	Team Prime Rib	v4_computers	20000	270000		-		-	-	0.002	-	-	0.964%
2011-12-05T02:55:00	markr	tiny	275000	6000000		-		-	-	0.038	-	-	3.811%
2015-03-24T11:42:00	alpertron	Manual testing	2000000	60000000		-		-	-	0.334	-	-	7.248%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-14T00:00:00	garyfu	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.026	-	-
2010-05-06T20:40:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.103	-	-
2011-05-28T03:14:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.073	-	-
2015-04-06T21:14:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.320	-	-
2015-04-06T21:14:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.512	-	-
2015-09-24T15:27:48	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	5.023	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	31.940 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	301 / 100	3.010	4.855%
25	50000	301 / 280	1.075	34.064%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	31.940 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	12.263	0.000%
25	50000	1.390	24.916%
30	250000	0.116	89.004%
35	1000000	0.008	99.198%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		56	3.115
50000	5000000	159157161993616070026049	1	0.056
50000	5000000	580280428929208057899262359679	194	10.79
250000	44000000		50	17.98

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-02-11T13:01:00	Steve Scott	Abit-4	50000	5000000						3	0.167
2009-05-18T08:35:00	S36049	Wolle3	50000	5000000						3	0.167
2010-01-13T05:30:00	James Classen	towerofart	50000	5000000						3	0.167
2011-05-30T01:22:00	James Hintz	ryan	50000	5000000						3	0.167
2012-08-30T17:34:00	Lukasz Wrobel	i-1	50000	5000000						3	0.167
2013-06-18T12:48:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.167
2014-02-03T17:55:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.167
2014-09-08T17:06:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.167
2015-04-23T08:32:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.167
2015-10-31T00:24:50	Chang Chia-Tche	exbpc13	50000	5000000	159157161993616070026049	77.075	1	2		1	0.056
2019-05-10T12:39:18	TJAOI	Manual testing	50000	5000000	580280428929208057899262359679	98.873	194	2		194	10.79
2019-05-10T12:39:18	TJAOI	Manual testing	50000	5000000						29	1.613
2022-04-14T10:47:10	TJAOI	Manual testing	250000	44000000						50	17.98

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	garyfu	v4_computers	F2BA5D6A51F2BE66	0.066
2015-07-19T16:37:00	MadPoo	Manual testing	F2BA5D6A51F2BE66	0.066

date

userid

compid

res64

spent (GHz-days)

1998-12-21T00:00:00

garyfu

v4_computers

F2BA5D6A51F2BE66

0.066

2015-07-19T16:37:00

MadPoo

Manual testing

F2BA5D6A51F2BE66

0.066

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30T15:29:45

alpertron

Manual testing

159157161993616070026049

912856A569C316__

2017-10-18T07:31:37

Oliver Kruse

Threadripper

159157161993616070026049

912856A569C316__

2019-05-10T14:13:14

ATH

ec2-PRPCF

159157161993616070026049

580280428929208057899262359679

152F9733F3FE5C9C

2019-05-11T10:37:02

kkmrkkblmbrbk

c5.large

159157161993616070026049

580280428929208057899262359679

152F9733F3FE5C9C

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 = 60000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 275000 (P-1 stage 1)

B1 = 20000, B2 = 270000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

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