M5011199 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	5.9295	65.6716%	-	-	-	-	5.9295	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0613	62.2951%	22000	450000	0.0091	3.3145%	0.0704	63.5448%	1.2497%
GPU72	2⁶⁵	1.4559	64.6154%	34000	700000	0.0141	2.4169%	1.4700	65.4706%	0.8552%
Difference	+2	+4.4736	+1.0563%	-34000	-700000	-0.0141	-2.4169%	+4.4595	+0.2010%	+0.2010%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

5.9295

65.6716%

5.9295

65.6716%

0.0000%

PrimeNet

2⁶¹

0.0613

62.2951%

22000

450000

0.0091

3.3145%

0.0704

63.5448%

1.2497%

GPU72

2⁶⁵

1.4559

64.6154%

34000

700000

0.0141

2.4169%

1.4700

65.4706%

0.8552%

Difference

+4.4736

+1.0563%

-34000

-700000

-0.0141

-2.4169%

+4.4595

+0.2010%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5011199	10022399	8	23.257	1 1	-	1	1	2.231e-13	2.010e-7	4.090e-7
5011199	7456664113	10	32.796	744 2³ × 3 × 31	2008-09-08	8	31	1.326e-10	1.860e-6	3.272e-6
5011199	235424833877823347492807	24	77.640	23489870775219997 863 × 1361 × 3433 × 5825563	2019-09-14	3433	5825563	12,106	0.0644	0.1191

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

5011199

10022399

23.257

1
1

2.231e-13

2.010e-7

4.090e-7

5011199

7456664113

32.796

744
2³ × 3 × 31

2008-09-08

1.326e-10

1.860e-6

3.272e-6

5011199

235424833877823347492807

77.640

23489870775219997
863 × 1361 × 3433 × 5825563

2019-09-14

3433

5825563

12,106

0.0644

0.1191

exponent	prime factors	composite factor	digits	bits*
5011199	10022399 7456664113	74733662949467087	17	56.053
5011199	10022399 235424833877823347492807	2359521619632262840088561383993	31	100.896
5011199	7456664113 235424833877823347492807	1755483910085751981803142482535191	34	110.435
5011199	10022399 7456664113 235424833877823347492807	17594160184959530576671833413818215743209	41	133.692

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T00:22:00	Will Edgington	Manual testing	?	?	7456664113	32.796	10	1.83871e-11	1.474	3.90252e-11

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.632 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.632 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	235424833877823347492807	3	0.632

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-09-14T23:14:29	ATH	ec2-ECMCF	50000	5000000	235424833877823347492807	77.640	3	2	1163821004930337	3	0.632

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-21T19:38:53

Oliver Kruse

GTX-2

10022399

7456664113

EB2D6E5CD40BD6__

2018-01-10T21:45:00

kkmrkkblmbrbk

c4.xlarge

10022399

7456664113

EB2D6E5CD40BD6__

2019-09-15T17:58:45

mnd9

office2

10022399

7456664113

235424833877823347492807

EB2D6E5CD40BD628

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

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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