M1384613 Mersenne number exponent details

Residue

Status

L-L

2E66D52E209E5154

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	21.4601	68.6567%	500000	15000000	0.0714	4.9007%	21.5315	70.1927%	1.5360%
PrimeNet	2⁵⁶	0.0069	62.5000%	6500	110000	0.0007	2.7562%	0.0076	63.5336%	1.0336%
GPU72	2⁶⁰	0.1109	65.0000%	5500	70000	0.0005	1.2007%	0.1114	65.4202%	0.4202%
Difference	+7	+21.3492	+3.6567%	+494500	+14930000	+0.0709	+3.7000%	+21.4201	+4.7725%	+4.7725%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

21.4601

68.6567%

500000

15000000

0.0714

4.9007%

21.5315

70.1927%

1.5360%

PrimeNet

2⁵⁶

0.0069

62.5000%

6500

110000

0.0007

2.7562%

0.0076

63.5336%

1.0336%

GPU72

2⁶⁰

0.1109

65.0000%

5500

70000

0.0005

1.2007%

0.1114

65.4202%

0.4202%

Difference

+21.3492

+3.6567%

+494500

+14930000

+0.0709

+3.7000%

+21.4201

+4.7725%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1384613	5537232101226615163903	22	72.230	1999559480239827 3³ × 11 × 991 × 6793666501	2008-12-04	991	6793666501	1,376.6	20.492	38.272

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1384613

5537232101226615163903

72.230

1999559480239827
3³ × 11 × 991 × 6793666501

2008-12-04

991

6793666501

1,376.6

20.492

38.272

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.001	-	-	0.815%
unknown			500000	15000000		-		-	-	0.071	-	-	4.901%

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	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.175 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:	25.175 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	12.167	0.001%
25	50000	1.348	25.975%
30	250000	0.112	89.363%
35	1000000	0.008	99.239%

ECM Summary

B1	B2	factor	curves	GHz-days
		5537232101226615163903	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
2007-12-29T17:38:00	Steve Scott	Abit	50000	5000000						1	0.047
2008-12-04T17:15:00	Chang Chia-Tche	euler06			5537232101226615163903	72.230		1		1	-
2018-09-22T00:21:50	storm5510	HP-Z220-CMT	50000	5000000						3	0.141
2018-11-16T12:25:45	TJAOI	Manual testing	50000	5000000						244	11.46
2021-10-28T13:36:08	TJAOI	Manual testing	250000	35000000						50	13.53

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30T12:39:18

Oliver Kruse

GTX-2

5537232101226615163903

38AB90DE9F3865__

2017-10-25T02:59:06

kkmrkkblmbrbk

old

5537232101226615163903

38AB90DE9F3865__

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

10⁹

10¹⁰

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