M2397449 Mersenne number exponent details

Residue

Status

L-L

386B241F802DFB63

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	12.3940	67.1642%	3000000	100000000	0.8115	8.5055%	13.2055	69.9570%	2.7928%
PrimeNet	2⁵⁹	0.0320	62.7119%	10000	170000	0.0018	2.4791%	0.0339	63.6363%	0.9244%
GPU72	2⁶³	0.6657	65.0794%	10000	140000	0.0017	1.2746%	0.6674	65.5244%	0.4451%
Difference	+4	+11.7283	+2.0848%	+2990000	+99860000	+0.8099	+7.2309%	+12.5381	+4.4326%	+4.4326%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

12.3940

67.1642%

3000000

100000000

0.8115

8.5055%

13.2055

69.9570%

2.7928%

PrimeNet

2⁵⁹

0.0320

62.7119%

10000

170000

0.0018

2.4791%

0.0339

63.6363%

0.9244%

GPU72

2⁶³

0.6657

65.0794%

10000

140000

0.0017

1.2746%

0.6674

65.5244%

0.4451%

Difference

+11.7283

+2.0848%

+2990000

+99860000

+0.8099

+7.2309%

+12.5381

+4.4326%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2397449	97150874599647273024287	23	76.363	20261301616770007 97 × 208879398111031	2018-06-15	97	208879398111031	12,694	1,114,766	2,082,073

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2397449

97150874599647273024287

76.363

20261301616770007
97 × 208879398111031

2018-06-15

208879398111031

12,694

1,114,766

2,082,073

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.287%
2010-11-08T22:12:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.244%
2010-11-15T22:52:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.311%
2010-12-23T17:25:00	markr	tiny	90000	1845000		-		-	-	0.018	-	-	2.604%
2014-08-21T02:33:00	Jocelyn Larouche	Manual testing	116772	116772		-		-	-	0.011	-	-	1.027%
2014-11-06T23:05:00	Jocelyn Larouche	Manual testing	143544	143544		-		-	-	0.014	-	-	1.149%
2015-12-11T11:34:23	mikr	MSI	3000000	100000000	12	-		-	-	0.812	-	-	8.505%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:13	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-15T21:28:00	Sturle Sunde	gaudi.ifi	2⁶⁰	2⁶¹		-	-	0.064	-	-
2012-06-02T12:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.128	-	-
2013-12-04T21:14:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.409	-	-
2015-03-12T10:49:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.819	-	-
2015-03-12T10:49:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.558	-	-
2015-11-05T09:47:18	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.117	-	-
2017-06-27T22:16:40	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.234	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.026 GHz-days
Estimated T-Level:	1.700

Digits	B1	Curves	Complete	FacMiss
20	11000	34 / 100	0.340	71.055%
25	50000	34 / 280	0.121	88.546%

New Calculation Method

Total ECM effort:	3.026 GHz-days
Estimated T-Level:	1.700

Digits	B1	Complete	FacMiss
20	11000	1.097	33.395%
25	50000	0.099	90.563%
30	250000	0.006	99.391%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		31	2.759
50000	5000000	97150874599647273024287	3	0.267

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-05T05:28:00	mdrg	MDRG02	50000	5000000						3	0.267
2010-02-17T00:50:00	James Classen	towerofart	50000	5000000						3	0.267
2010-03-15T08:08:00	Bud	annan	50000	5000000						1	0.089
2012-12-10T22:10:00	Donna Noble	q8200v2	50000	5000000						3	0.267
2014-08-12T17:31:00	Kripke	Kripke	50000	5000000						3	0.267
2015-08-12T00:13:00	guru	w1	50000	5000000						3	0.267
2016-03-18T21:45:53	jwdenney	johndenney	50000	5000000						3	0.267
2016-06-30T15:12:08	Bruce	Desk6	50000	5000000						3	0.267
2016-11-23T06:38:58	Bruce	Desk6	50000	5000000						3	0.267
2017-06-23T11:45:51	Bruce	Desk6	50000	5000000						3	0.267
2017-12-17T16:45:45	Bruce	Desk6	50000	5000000						3	0.267
2018-06-15T05:03:52	Bruce	Desk6	50000	5000000	97150874599647273024287	76.363	3	2		3	0.267

date	userid	compid	res64	spent (GHz-days)
1999-06-26T00:00:00	ANONYMOUS	v4_computers	386B241F802DFB63	0.162
2018-05-17T21:10:49	kkmrkkblmbrbk	old	386B241F802DFB63	0.162

date

userid

compid

res64

spent (GHz-days)

1999-06-26T00:00:00

ANONYMOUS

v4_computers

386B241F802DFB63

0.162

2018-05-17T21:10:49

kkmrkkblmbrbk

old

386B241F802DFB63

0.162

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 = 3000000, B2 = 100000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 90000, B2 = 1845000 (P-1 stage 2)

B1 = 143544 (P-1 stage 1)

B1 = 116772 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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