M1485017 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	20.0091	68.6567%	500000	15000000	0.0835	4.9424%	20.0927	70.2058%	1.5491%
PrimeNet	2⁵⁷	0.0129	63.1579%	6500	100000	0.0008	2.3357%	0.0137	64.0184%	0.8605%
GPU72	2⁶¹	0.2069	65.5738%	6000	50000	0.0005	0.9458%	0.2074	65.8994%	0.3256%
Difference	+6	+19.8023	+3.0829%	+494000	+14950000	+0.0830	+3.9966%	+19.8853	+4.3064%	+4.3064%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

20.0091

68.6567%

500000

15000000

0.0835

4.9424%

20.0927

70.2058%

1.5491%

PrimeNet

2⁵⁷

0.0129

63.1579%

6500

100000

0.0008

2.3357%

0.0137

64.0184%

0.8605%

GPU72

2⁶¹

0.2069

65.5738%

6000

50000

0.0005

0.9458%

0.2074

65.8994%

0.3256%

Difference

+19.8023

+3.0829%

+494000

+14950000

+0.0830

+3.9966%

+19.8853

+4.3064%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1485017	8910103	7	23.087	3 3	-	1	3	7.530e-13	7.182e-8	1.318e-7
1485017	11880137	8	23.502	4 2²	2008-07-15	4	4	7.532e-13	2.591e-7	5.272e-7
1485017	8907596663262806625937	22	72.916	2999156461933704 2³ × 3 × 173 × 722340188327	2017-11-24	173	722340188327	1,040.5	2,548.9	4,760.6

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1485017

8910103

23.087

3
3

7.530e-13

7.182e-8

1.318e-7

1485017

11880137

23.502

4
2²

2008-07-15

7.532e-13

2.591e-7

5.272e-7

1485017

8907596663262806625937

72.916

2999156461933704
2³ × 3 × 173 × 722340188327

2017-11-24

173

722340188327

1,040.5

2,548.9

4,760.6

exponent	prime factors	composite factor	digits	bits*
1485017	8910103 11880137	105853244324111	15	46.589
1485017	8910103 8907596663262806625937	79367603752127923106181141511	29	96.003
1485017	11880137 8907596663262806625937	105823468700305009720639313369	30	96.418
1485017	8910103 11880137 8907596663262806625937	942898005936993768026897507967067007	36	119.505

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17T19:14:57	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 8910103 skipped known factor: 11880137	-	-	0.084	-	-	4.942%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-15T10:01:00	J Feitsma	Manual testing	?	?	11880137	23.502	8	6.51539e-16	0.148	1.45018e-15

ECM factoring results:

Old Calculation Method

Total ECM effort:	30.003 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:	30.003 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.654	0.000%
25	50000	1.651	19.189%
30	250000	0.141	86.866%
35	1000000	0.010	99.021%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		249	13.85
50000	5000000	8907596663262806625937	2	0.111
250000	35000000		50	16.04

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-11-24T16:50:25	ATH	ec2-1xe	50000	5000000	8907596663262806625937	72.916	2	2		2	0.111
2018-04-25T10:54:25	Chang Chia-Tche	exbpc13	50000	5000000						3	0.167
2019-04-19T08:37:41	TJAOI	Manual testing	50000	5000000						246	13.68
2022-02-24T18:49:53	TJAOI	Manual testing	250000	35000000						50	16.04

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T06:59:02

Oliver Kruse

GTX-3

8910103

11880137

CA9BF8EAB2A37B__

2017-11-05T02:15:18

kkmrkkblmbrbk

c4.xlarge

8910103

11880137

CA9BF8EAB2A37B__

2017-11-25T18:49:08

kkmrkkblmbrbk

c4.xlarge

8910103

11880137

8907596663262806625937

56307950CF477F__

2017-11-25T19:00:18

ATH

ec2-1xf

8910103

11880137

8907596663262806625937

56307950CF477F__

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 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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