M1383583 Mersenne number exponent details

Residue

Status

L-L

3E1B3053CEABA678

double-checked

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	21.4761	68.6567%	500000	15000000	0.0714	4.9002%	21.5475	70.1926%	1.5359%
PrimeNet	2⁵⁶	0.0069	62.5000%	6500	110000	0.0007	2.7558%	0.0076	63.5334%	1.0334%
GPU72	2⁶⁰	0.1110	65.0000%	5500	70000	0.0005	1.2005%	0.1115	65.4202%	0.4202%
Difference	+7	+21.3651	+3.6567%	+494500	+14930000	+0.0709	+3.6998%	+21.4360	+4.7724%	+4.7724%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

21.4761

68.6567%

500000

15000000

0.0714

4.9002%

21.5475

70.1926%

1.5359%

PrimeNet

2⁵⁶

0.0069

62.5000%

6500

110000

0.0007

2.7558%

0.0076

63.5334%

1.0334%

GPU72

2⁶⁰

0.1110

65.0000%

5500

70000

0.0005

1.2005%

0.1115

65.4202%

0.4202%

Difference

+21.3651

+3.6567%

+494500

+14930000

+0.0709

+3.6998%

+21.4360

+4.7724%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1383583	99991368604118462176297	23	76.404	36134936828552556 2² × 3² × 79 × 149 × 919 × 92788879	2013-09-19	919	92788879	12,153	0.2799	0.5227

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1383583

99991368604118462176297

76.404

36134936828552556
2² × 3² × 79 × 149 × 919 × 92788879

2013-09-19

919

92788879

12,153

0.2799

0.5227

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2003-09-21T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.001	-	-	0.814%
unknown			500000	15000000		-		-	-	0.071	-	-	4.900%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2003-09-21T00:00:00

Team Prime Rib

v4_computers

15000

228750

0.001

-

-

0.814%

unknown

500000

15000000

0.071

-

-

4.900%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.014	-	-
2003-07-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.028	-	-
2022-03-07T17:32:40	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.083	-	-
2009-04-14T03:14:00	Sturle Sunde	vancraft.ifi	2⁶⁰	2⁶¹		-	-	0.111	-	-
2012-07-27T07:34:00	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.222	-	-
2013-01-23T08:21:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.710	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.172 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	298 / 100	2.980	5.004%
25	50000	298 / 280	1.064	34.432%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	25.172 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.538	0.000%
25	50000	1.640	19.395%
30	250000	0.140	86.925%
35	1000000	0.010	99.024%

ECM Summary

B1	B2	factor	curves	GHz-days
		99991368604118462176297	1	0.00000e+0
50000	5000000		248	11.65
250000	35000000		50	13.53

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-12-30T19:42:00	David Campeau		50000	5000000						1	0.047
2008-12-13T14:18:00	mgsoft	casoria06	50000	5000000						3	0.141
2009-05-14T09:46:00	Lukasz Wrobel	WORKER-1	50000	5000000						3	0.141
2009-08-16T03:02:00	SubPrime	c2d0	50000	5000000						3	0.141
2009-12-16T16:30:00	James Hintz	chris3	50000	5000000						3	0.141
2010-07-27T20:47:00	Lackó	Ilka	50000	5000000						3	0.141
2011-04-13T15:34:00	OS1	Tina	50000	5000000						3	0.141
2012-03-29T00:46:00	Lukasz Wrobel	4_core_L	50000	5000000						3	0.141
2012-11-06T18:31:00	OS1	Tina	50000	5000000						3	0.141
2013-09-19T23:28:00	jim f in mn	asus			99991368604118462176297	76.404		1		1	-
2018-11-23T13:35:27	TJAOI	Manual testing	50000	5000000						223	10.47
2022-02-17T11:34:50	TJAOI	Manual testing	250000	35000000						50	13.53

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

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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