M5897279 Mersenne number exponent details

Residue

Status

L-L

2F10D02359E86A5E

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	5.0386	65.6716%	65000	1105000	0.0313	2.4804%	5.0698	66.5231%	0.8515%
PrimeNet	2⁶²	0.1042	62.9032%	26000	600000	0.0147	3.3203%	0.1189	64.1350%	1.2317%
GPU72	2⁶⁶	2.5043	65.1515%	40000	800000	0.0209	2.3411%	2.5252	65.9673%	0.8158%
Difference	+1	+2.5343	+0.5201%	+25000	+305000	+0.0103	+0.1394%	+2.5446	+0.5558%	+0.5558%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

5.0386

65.6716%

65000

1105000

0.0313

2.4804%

5.0698

66.5231%

0.8515%

PrimeNet

2⁶²

0.1042

62.9032%

26000

600000

0.0147

3.3203%

0.1189

64.1350%

1.2317%

GPU72

2⁶⁶

2.5043

65.1515%

40000

800000

0.0209

2.3411%

2.5252

65.9673%

0.8158%

Difference

+2.5343

+0.5201%

+25000

+305000

+0.0103

+0.1394%

+2.5446

+0.5558%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5897279	660060879420596631919	21	69.161	55963172118921 3 × 17 × 1097317100371	2011-07-04	17	1097317100371	27.972	15,363	28,694

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

5897279

660060879420596631919

69.161

55963172118921
3 × 17 × 1097317100371

2011-07-04

1097317100371

27.972

15,363

28,694

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-02-11T00:00:00	ANONYMOUS	v4_computers	25000	25000		-		-	-	0.006	-	-	0.454%
2001-04-21T00:00:00	ANONYMOUS	v4_computers	25000	25000		-		-	-	0.006	-	-	0.454%
2011-03-07T19:07:00	harlee	P4_2600	65000	1105000		-		-	-	0.031	-	-	2.480%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-05-08T00:00:00	Mark D	v4_computers	2¹	2⁶¹		-	-	0.052	-	-
1998-06-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.104	-	-
2009-02-13T05:23:00	GrunwalderGIMP	Manual testing	2⁶²	2⁶³		-	-	0.166	-	-

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
		660060879420596631919	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2011-07-04T18:31:00	James Heinrich	Q6600			660060879420596631919	69.161		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-10-04T00:00:00	vidmar	v4_computers	2F10D02359E86A5E	1.045
2001-05-20T00:00:00	ANONYMOUS	v4_computers	2F10D02359E86A5E	1.045

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T17:59:31

kkmrkkblmbrbk

Manual testing

660060879420596631919

A9D94A54206C26__

2018-09-08T21:18:47

ATH

work200560

660060879420596631919

A9D94A54206C26__

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 = 65000, B2 = 1105000 (P-1 stage 2)

B1 = 65000 (P-1 stage 1)

B1 = 25000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶²

2⁶¹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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