M1470187 Mersenne number exponent details

Residue

Status

L-L

9026E7A9BBAE3C72

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	20.2110	68.6567%	500000	15000000	0.0714	4.9364%	20.2824	70.2039%	1.5472%
PrimeNet	2⁵⁶	0.0065	62.5000%	7000	120000	0.0007	2.9118%	0.0073	63.5919%	1.0919%
GPU72	2⁶⁰	0.1045	65.0000%	6500	100000	0.0006	1.4471%	0.1051	65.5065%	0.5065%
Difference	+7	+20.1065	+3.6567%	+493500	+14900000	+0.0708	+3.4893%	+20.1773	+4.6974%	+4.6974%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

20.2110

68.6567%

500000

15000000

0.0714

4.9364%

20.2824

70.2039%

1.5472%

PrimeNet

2⁵⁶

0.0065

62.5000%

7000

120000

0.0007

2.9118%

0.0073

63.5919%

1.0919%

GPU72

2⁶⁰

0.1045

65.0000%

6500

100000

0.0006

1.4471%

0.1051

65.5065%

0.5065%

Difference

+20.1065

+3.6567%

+493500

+14900000

+0.0708

+3.4893%

+20.1773

+4.6974%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1470187	93690935741620681	17	56.379	31863611820 2² × 3 × 5 × 531060197	2008-01-11	5	531060197	0.0109	1.6018	2.9917

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1470187

93690935741620681

56.379

31863611820
2² × 3 × 5 × 531060197

2008-01-11

531060197

0.0109

1.6018

2.9917

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	-	-	0.962%
2016-03-17T19:14:45	alpertron	Manual testing	500000	15000000	12	-		-	-	0.071	-	-	4.936%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸	MISSED FACTOR!	-	-	0.026	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.502 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	299 / 100	2.990	4.954%
25	50000	299 / 280	1.068	34.309%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	25.502 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.577	0.000%
25	50000	1.644	19.326%
30	250000	0.140	86.905%
35	1000000	0.010	99.023%

ECM Summary

B1	B2	factor	curves	GHz-days
		93690935741620681	1	0.00000e+0
50000	5000000		249	11.82
250000	35000000		50	13.69

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-01-11T19:33:00	Team_Bundu	bundu3			93690935741620681	56.379		1		1	-
2018-04-25T05:08:35	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2019-03-29T12:18:31	TJAOI	Manual testing	50000	5000000						246	11.67
2021-12-03T11:50:39	TJAOI	Manual testing	250000	35000000						50	13.69

date	userid	compid	res64	spent (GHz-days)
1999-02-07T00:00:00	ANONYMOUS	v4_computers	9026E7A9BBAE3C72	0.056

date

userid

compid

res64

spent (GHz-days)

1999-02-07T00:00:00

ANONYMOUS

v4_computers

9026E7A9BBAE3C72

0.056

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T04:38:29

Oliver Kruse

GTX-1

93690935741620681

49DB629C651173__

2017-10-28T04:33:41

kkmrkkblmbrbk

c4.xlarge

93690935741620681

49DB629C651173__

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)

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

B1 = 20000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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