M3393017 Mersenne number exponent details

Residue

Status

L-L

D7FA93C5D70109EF

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	2⁶⁸	17.5669	67.6471%	1131005	111642300	1.0892	7.5742%	18.6561	70.0975%	2.4505%
PrimeNet	2⁶⁰	0.0453	63.3333%	14000	280000	0.0043	2.8462%	0.0496	64.3769%	1.0436%
GPU72	2⁶⁴	1.0490	65.6250%	18000	320000	0.0052	1.7913%	1.0543	66.2408%	0.6158%
Difference	+4	+16.5179	+2.0221%	+1113005	+111322300	+1.0839	+5.7829%	+17.6018	+3.8568%	+3.8568%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

17.5669

67.6471%

1131005

111642300

1.0892

7.5742%

18.6561

70.0975%

2.4505%

PrimeNet

2⁶⁰

0.0453

63.3333%

14000

280000

0.0043

2.8462%

0.0496

64.3769%

1.0436%

GPU72

2⁶⁴

1.0490

65.6250%

18000

320000

0.0052

1.7913%

1.0543

66.2408%

0.6158%

Difference

+16.5179

+2.0221%

+1113005

+111322300

+1.0839

+5.7829%

+17.6018

+3.8568%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3393017	621226543810553933111	21	69.074	91544861668915 5 × 337 × 1319 × 41189761	2022-01-09	1319	41189761	40.182	0.3419	0.6383
3393017	11625850162097399173039	23	73.300	1713202462896207 3 × 31 × 61 × 263 × 929 × 1236017	2009-06-13	929	1236017	1,086.9	0.0104	0.0192

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

3393017

621226543810553933111

69.074

91544861668915
5 × 337 × 1319 × 41189761

2022-01-09

1319

41189761

40.182

0.3419

0.6383

3393017

11625850162097399173039

73.300

1713202462896207
3 × 31 × 61 × 263 × 929 × 1236017

2009-06-13

929

1236017

1,086.9

0.0104

0.0192

exponent	prime factors	composite factor	digits	bits*
3393017	621226543810553933111 11625850162097399173039	7222286715059135492205280570947520320594329	43	142.373

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-03-14T12:32:23	Jocelyn Larouche	Manual testing	339301	3732318	6	-	skipped known factor: 11625850162097399173039	-	-	0.080	-	-	3.542%
2022-01-09T02:58:30	Jocelyn Larouche	Manual testing	1131005	111642300			621226543810553933111	21	69.074	1.089	0.713	2.178	7.574%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-04-05T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.045	-	-
2009-03-25T20:45:00	S485122	USB-Z	2⁶⁰	2⁶¹		-	-	0.045	-	-
2022-04-24T18:52:27	LordJulius	Manual testing	2¹	2⁶²		-	-	0.181	-	-
2022-04-24T18:52:27	LordJulius	Manual testing	2⁶²	2⁶³		-	-	0.289	-	-
2022-04-24T18:52:27	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.579	-	-
2022-04-24T18:52:27	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	1.101	-	-
2022-04-24T18:52:27	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	2.202	-	-
2022-04-24T18:52:27	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	4.405	-	-
2021-07-09T11:40:04	Jocelyn Larouche	Manual testing	2⁶⁷	2⁶⁸		-	-	8.810	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Curves	Complete	FacMiss

New Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		11625850162097399173039	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-06-13T06:47:00	rextherunt	ccrc468-2			11625850162097399173039	73.300		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-04-05T00:00:00	ANONYMOUS	v4_computers	D7FA93C5D70109EF	0.356
2000-10-07T00:00:00	ANONYMOUS	v4_computers	D7FA93C5D70109EF	0.356
2001-01-21T00:00:00	ANONYMOUS	v4_computers	D7FA93C5D70109EF	0.356

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-05T20:34:37

Oliver Kruse

GTX-2

11625850162097399173039

E80983773C257E__

2017-12-15T21:57:56

kkmrkkblmbrbk

c4.xlarge

11625850162097399173039

E80983773C257E__

2022-01-12T07:22:50

LordJulius

WhiteBox

621226543810553933111

11625850162097399173039

E80983773C257ECD

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 = 1131005, B2 = 111642300 (P-1 stage 2)

B1 = 1131005 (P-1 stage 1)

B1 = 339301, B2 = 3732318 (P-1 stage 2)

B1 = 339301 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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