M4835801 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	6.1446	65.6716%	-	-	-	-	6.1446	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0635	62.2951%	20000	450000	0.0083	3.2287%	0.0718	63.5125%	1.2174%
GPU72	2⁶⁵	1.5087	64.6154%	32000	650000	0.0125	2.3251%	1.5212	65.4381%	0.8227%
Difference	+2	+4.6359	+1.0563%	-32000	-650000	-0.0125	-2.3251%	+4.6233	+0.2335%	+0.2335%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

6.1446

65.6716%

6.1446

65.6716%

0.0000%

PrimeNet

2⁶¹

0.0635

62.2951%

20000

450000

0.0083

3.2287%

0.0718

63.5125%

1.2174%

GPU72

2⁶⁵

1.5087

64.6154%

32000

650000

0.0125

2.3251%

1.5212

65.4381%

0.8227%

Difference

+4.6359

+1.0563%

-32000

-650000

-0.0125

-2.3251%

+4.6233

+0.2335%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4835801	44286265559	11	35.366	4579 19 × 241	-	19	241	1.885e-9	5.937e-6	7.382e-6
4835801	1169519863687753	16	50.055	120923076 2² × 3 × 2393 × 4211	2014-05-19	2393	4211	5.664e-5	0.0005	0.0009
4835801	11090396634606073166183	23	73.232	1146696962365291 12203 × 93968447297	2019-06-20	12203	93968447297	701.33	977.43	1,825.6

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4835801

44286265559

35.366

4579
19 × 241

241

1.885e-9

5.937e-6

7.382e-6

4835801

1169519863687753

50.055

120923076
2² × 3 × 2393 × 4211

2014-05-19

2393

4211

5.664e-5

0.0005

0.0009

4835801

11090396634606073166183

73.232

1146696962365291
12203 × 93968447297

2019-06-20

12203

93968447297

701.33

977.43

1,825.6

exponent	prime factors	composite factor	digits	bits*
4835801	44286265559 1169519863687753	51793667259801310413998927	26	85.421
4835801	44286265559 11090396634606073166183	491152250514804445591764276391297	33	108.598
4835801	1169519863687753 11090396634606073166183	12970439160347609304922549031190856799	38	123.287
4835801	44286265559 1169519863687753 11090396634606073166183	574412313072007208428579412322516458213254685641	48	158.653

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-05-19T13:41:00	TJAOI	Manual testing	?	?	1169519863687753	50.055	16	2.56190e-5	1.357	5.46204e-5

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.596 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:	0.596 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	11090396634606073166183	3	0.596

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-06-21T00:28:01	ATH	ec2-ECMCF	50000	5000000	11090396634606073166183	73.232	3	2	5401719690172880	3	0.596

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:28:35

kkmrkkblmbrbk

Manual testing

44286265559

1169519863687753

F6FAD6311ED7A7__

2018-03-28T18:34:14

Squeeky_Squirrel

i5-5250U_1600

44286265559

1169519863687753

F6FAD6311ED7A7__

2019-06-21T12:10:28

Niels_Mache_Nextcloud

SuperDry-X

44286265559

1169519863687753

11090396634606073166183

1C5BE32F215E9BE9

2019-06-22T10:52:22

kkmrkkblmbrbk

c5.large

44286265559

1169519863687753

11090396634606073166183

1C5BE32F215E9BE9

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

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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