M4793543 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	6.1987	65.6716%	-	-	-	-	6.1987	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0641	62.2951%	20000	450000	0.0083	3.2240%	0.0724	63.5107%	1.2156%
GPU72	2⁶⁵	1.5220	64.6154%	30000	650000	0.0122	2.2862%	1.5342	65.4243%	0.8090%
Difference	+2	+4.6768	+1.0563%	-30000	-650000	-0.0122	-2.2862%	+4.6646	+0.2473%	+0.2473%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

6.1987

65.6716%

6.1987

65.6716%

0.0000%

PrimeNet

2⁶¹

0.0641

62.2951%

20000

450000

0.0083

3.2240%

0.0724

63.5107%

1.2156%

GPU72

2⁶⁵

1.5220

64.6154%

30000

650000

0.0122

2.2862%

1.5342

65.4243%

0.8090%

Difference

+4.6768

+1.0563%

-30000

-650000

-0.0122

-2.2862%

+4.6646

+0.2473%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4793543	177514484377	12	37.369	18516 2² × 3 × 1543	-	4	1543	3.849e-9	1.677e-5	2.995e-5
4793543	2079006010183327	16	50.885	216854841 3 × 7² × 1475203	2014-06-11	49	1475203	3.997e-5	0.0154	0.0287
4793543	96182913094494256769	20	66.382	10032549316288 2⁶ × 239 × 655893653	2019-05-26	239	655893653	3.2618	6.8224	12.742

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4793543

177514484377

37.369

18516
2² × 3 × 1543

1543

3.849e-9

1.677e-5

2.995e-5

4793543

2079006010183327

50.885

216854841
3 × 7² × 1475203

2014-06-11

1475203

3.997e-5

0.0154

0.0287

4793543

96182913094494256769

66.382

10032549316288
2⁶ × 239 × 655893653

2019-05-26

239

655893653

3.2618

6.8224

12.742

exponent	prime factors	composite factor	digits	bits*
4793543	177514484377 2079006010183327	369053679914377303647382279	27	88.254
4793543	177514484377 96182913094494256769	17073860223846949467936876997913	32	103.752
4793543	2079006010183327 96182913094494256769	199964854400394182642108530300690463	36	117.267
4793543	177514484377 2079006010183327 96182913094494256769	35496658022407852837264259284400348306526396551	47	154.636

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-06-11T11:34:00	TJAOI	Manual testing	?	?	2079006010183327	50.885	16	8.67589e-6	1.347	1.85150e-5

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.198 GHz-days
Estimated T-Level:	0.050

Digits	B1	Curves	Complete	FacMiss
20	11000	1 / 100	0.010	99.000%
25	50000	1 / 280	0.004	99.643%

New Calculation Method

Total ECM effort:	0.198 GHz-days
Estimated T-Level:	0.050

Digits	B1	Complete	FacMiss
20	11000	0.032	96.826%
25	50000	0.003	99.709%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	96182913094494256769	1	0.198

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-05-27T01:03:02	MarkS	laptop64	50000	5000000	96182913094494256769	66.382	1	2		1	0.198

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:35:31

kkmrkkblmbrbk

Manual testing

177514484377

2079006010183327

3F998E46B14D55__

2018-03-21T17:49:53

ATH

ec2-PRPCFDC

177514484377

2079006010183327

3F998E46B14D55__

2019-05-28T11:00:52

Niels_Mache_Nextcloud

SuperDry3

177514484377

2079006010183327

96182913094494256769

113879A414BAE136

2019-05-29T07:47:20

marssystems

system11

177514484377

2079006010183327

96182913094494256769

113879A414BAE136

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

10⁰

10¹

10²

10³

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