M4894499 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	6.0709	65.6716%	-	-	-	-	6.0709	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0628	62.2951%	22000	450000	0.0091	3.3015%	0.0719	63.5399%	1.2448%
GPU72	2⁶⁵	1.4906	64.6154%	32000	700000	0.0137	2.3735%	1.5043	65.4553%	0.8399%
Difference	+2	+4.5803	+1.0563%	-32000	-700000	-0.0137	-2.3735%	+4.5665	+0.2164%	+0.2164%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

6.0709

65.6716%

6.0709

65.6716%

0.0000%

PrimeNet

2⁶¹

0.0628

62.2951%

22000

450000

0.0091

3.3015%

0.0719

63.5399%

1.2448%

GPU72

2⁶⁵

1.4906

64.6154%

32000

700000

0.0137

2.3735%

1.5043

65.4553%

0.8399%

Difference

+4.5803

+1.0563%

-32000

-700000

-0.0137

-2.3735%

+4.5665

+0.2164%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4894499	5520994873	10	32.362	564 2² × 3 × 47	-	4	47	1.312e-10	1.275e-6	1.636e-6
4894499	9726017843466974953	19	63.077	993566230524 2² × 3² × 7 × 137 × 1753 × 16417	2016-12-08	1753	16417	0.5886	0.0005	0.0007
4894499	363158604945087670129	21	68.299	37098649416936 2³ × 3 × 1545777059039	2019-07-25	8	1545777059039	15.921	16,927	31,614

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4894499

5520994873

32.362

564
2² × 3 × 47

1.312e-10

1.275e-6

1.636e-6

4894499

9726017843466974953

63.077

993566230524
2² × 3² × 7 × 137 × 1753 × 16417

2016-12-08

1753

16417

0.5886

0.0005

0.0007

4894499

363158604945087670129

68.299

37098649416936
2³ × 3 × 1545777059039

2019-07-25

1545777059039

15.921

16,927

31,614

exponent	prime factors	composite factor	digits	bits*
4894499	5520994873 9726017843466974953	53697294648487685260332415969	29	95.439
4894499	5520994873 363158604945087670129	2004996795987661473317724248617	31	100.661
4894499	9726017843466974953 363158604945087670129	3532087071704496687349729994086369278937	40	131.376
4894499	5520994873 9726017843466974953 363158604945087670129	19500634613870109581903343255285165108195883890001	50	163.738

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-12-08T17:33:04	TJAOI	Manual testing	2⁶³	2⁶⁴*	9726017843466974953	63.077	19	0.263	1.379	0.534

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.629 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:	0.629 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.097	90.776%
25	50000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	363158604945087670129	3	0.629

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-07-25T01:32:48	MarkS	laptop64	50000	5000000	363158604945087670129	68.299	3	2		3	0.629

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-20T13:20:20

kkmrkkblmbrbk

c4.xlarge

5520994873

9726017843466974953

1531D440E270A1__

2018-04-05T05:58:59

Oliver Kruse

GTX-7

5520994873

9726017843466974953

1531D440E270A1__

2019-07-25T02:33:33

ATH

ec2-PRPCF

5520994873

9726017843466974953

363158604945087670129

1531D440E270A157

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

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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