M1433699 Mersenne number exponent details

Residue

Status

L-L

0B01B08786D98877

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	20.7254	68.6567%	500000	15000000	0.0714	4.9214%	20.7968	70.1992%	1.5425%
PrimeNet	2⁵⁶	0.0067	62.5000%	6500	110000	0.0007	2.7749%	0.0074	63.5406%	1.0406%
GPU72	2⁶⁰	0.1071	65.0000%	6000	90000	0.0006	1.3538%	0.1077	65.4738%	0.4738%
Difference	+7	+20.6182	+3.6567%	+494000	+14910000	+0.0708	+3.5676%	+20.6891	+4.7254%	+4.7254%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

20.7254

68.6567%

500000

15000000

0.0714

4.9214%

20.7968

70.1992%

1.5425%

PrimeNet

2⁵⁶

0.0067

62.5000%

6500

110000

0.0007

2.7749%

0.0074

63.5406%

1.0406%

GPU72

2⁶⁰

0.1071

65.0000%

6000

90000

0.0006

1.3538%

0.1077

65.4738%

0.4738%

Difference

+20.6182

+3.6567%

+494000

+14910000

+0.0708

+3.5676%

+20.6891

+4.7254%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1433699	182274296488024246408297	24	77.270	63567839723688252 2² × 3⁴ × 1229 × 159639573787	2010-03-30	1229	159639573787	42,476	481.52	899.34

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1433699

182274296488024246408297

77.270

63567839723688252
2² × 3⁴ × 1229 × 159639573787

2010-03-30

1229

159639573787

42,476

481.52

899.34

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-29T00:00:00	Team Prime Rib	v4_computers	15000	243750		-		-	-	0.002	-	-	0.837%
2016-03-17T19:14:16	alpertron	Manual testing	500000	15000000	12	-		-	-	0.071	-	-	4.921%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-10-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2003-07-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.027	-	-
2022-03-07T17:32:43	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.080	-	-
2009-02-16T05:46:00	Sturle Sunde	gimo.ifi	2⁶⁰	2⁶¹		-	-	0.107	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.430 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	300 / 100	3.000	4.904%
25	50000	300 / 280	1.071	34.186%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	25.430 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.615	0.000%
25	50000	1.647	19.258%
30	250000	0.141	86.886%
35	1000000	0.010	99.022%

ECM Summary

B1	B2	factor	curves	GHz-days
		182274296488024246408297	1	0.00000e+0
50000	5000000		250	11.81
250000	35000000		50	13.62

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-01-04T18:22:00	Steve Scott	Abit	50000	5000000						1	0.047
2008-12-12T14:08:00	S36049	Wolle3	50000	5000000						3	0.142
2009-09-19T22:03:00	SubPrime	abd0	50000	5000000						3	0.142
2010-03-30T20:28:00	SubPrime	abd0			182274296488024246408297	77.270		1		1	-
2019-02-15T12:28:14	TJAOI	Manual testing	50000	5000000						243	11.48
2022-01-06T11:53:51	TJAOI	Manual testing	250000	35000000						50	13.62

date	userid	compid	res64	spent (GHz-days)
2002-10-19T00:00:00	ANONYMOUS	v4_computers	0B01B08786D98877	0.055

date

userid

compid

res64

spent (GHz-days)

2002-10-19T00:00:00

ANONYMOUS

v4_computers

0B01B08786D98877

0.055

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30T22:37:54

Oliver Kruse

GTX-1

182274296488024246408297

CD2798CF243BA8__

2017-10-26T23:43:31

kkmrkkblmbrbk

c4.xlarge

182274296488024246408297

CD2798CF243BA8__

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 = 243750 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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