M4883003 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	6.0852	65.6716%	-	-	-	-	6.0852	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0629	62.2951%	22000	450000	0.0091	3.3002%	0.0720	63.5394%	1.2443%
GPU72	2⁶⁵	1.4941	64.6154%	32000	700000	0.0137	2.3726%	1.5078	65.4549%	0.8395%
Difference	+2	+4.5911	+1.0563%	-32000	-700000	-0.0137	-2.3726%	+4.5773	+0.2167%	+0.2167%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

6.0852

65.6716%

6.0852

65.6716%

0.0000%

PrimeNet

2⁶¹

0.0629

62.2951%

22000

450000

0.0091

3.3002%

0.0720

63.5394%

1.2443%

GPU72

2⁶⁵

1.4941

64.6154%

32000

700000

0.0137

2.3726%

1.5078

65.4549%

0.8395%

Difference

+4.5911

+1.0563%

-32000

-700000

-0.0137

-2.3726%

+4.5773

+0.2167%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4883003	5009961079	10	32.222	513 3³ × 19	-	27	27	1.302e-10	5.427e-6	1.104e-5
4883003	2734012911713	13	41.314	279952 2⁴ × 17497	2008-09-30	16	17497	9.573e-8	0.0002	0.0004
4883003	33276731376655008799	20	64.851	3407404355133 3 × 569 × 4211 × 474029	2018-02-07	4211	474029	0.8834	0.0060	0.0097

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4883003

5009961079

32.222

513
3³ × 19

1.302e-10

5.427e-6

1.104e-5

4883003

2734012911713

41.314

279952
2⁴ × 17497

2008-09-30

17497

9.573e-8

0.0002

0.0004

4883003

33276731376655008799

64.851

3407404355133
3 × 569 × 4211 × 474029

2018-02-07

4211

474029

0.8834

0.0060

0.0097

exponent	prime factors	composite factor	digits	bits*
4883003	5009961079 2734012911713	13697298277165593218327	23	73.536
4883003	5009961079 33276731376655008799	166715129033379683293392534121	30	97.073
4883003	2734012911713 33276731376655008799	90979013243379907520839625162687	32	106.165
4883003	5009961079 2734012911713 33276731376655008799	455801315355158891090025903466010913059273	42	138.387

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30T21:36:00	markr	Manual testing	?	?	2734012911713	41.314	13	3.57366e-8	1.438	7.59400e-8
2018-02-07T14:04:59	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	33276731376655008799	64.851	20	0.155	1.375	0.314

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	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.629

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-07-20T09:49:14	J.R. Allen	lapdell	50000	5000000						3	0.629

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T17:04:16

kkmrkkblmbrbk

Manual testing

5009961079

2734012911713

DAC1AF45F9CA24__

2018-02-10T17:30:23

Oliver Kruse

GTX-3

5009961079

2734012911713

33276731376655008799

2EA4BA80170887__

2018-02-11T07:40:36

kkmrkkblmbrbk

c5.large

5009961079

2734012911713

33276731376655008799

2EA4BA80170887__

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

TF factor-bounds graph:

2⁶⁷

2⁶⁵

2³⁰

2⁴⁰

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