M17504153 Mersenne number exponent details

Residue

Status

L-L

E654038C3060D16E

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	2⁷³	109.2795	65.7534%	10000000	1000000000	52.7932	9.6989%	162.0727	69.0750%	3.3216%
PrimeNet	2⁶⁵	0.4168	61.5385%	80000	2400000	0.1704	4.5488%	0.5872	63.2880%	1.7495%
GPU72	2⁶⁹	6.8205	63.7681%	120000	3400000	0.2466	3.3524%	7.0671	64.9827%	1.2146%
Difference	+4	+102.4590	+1.9853%	+9880000	+996600000	+52.5466	+6.3466%	+155.0055	+4.0922%	+4.0922%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

109.2795

65.7534%

10000000

1000000000

52.7932

9.6989%

162.0727

69.0750%

3.3216%

PrimeNet

2⁶⁵

0.4168

61.5385%

80000

2400000

0.1704

4.5488%

0.5872

63.2880%

1.7495%

GPU72

2⁶⁹

6.8205

63.7681%

120000

3400000

0.2466

3.3524%

7.0671

64.9827%

1.2146%

Difference

+102.4590

+1.9853%

+9880000

+996600000

+52.5466

+6.3466%

+155.0055

+4.0922%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-02-22T20:26:00	Oliver Kruse	Manual testing	10000000	1000000000		-		-	-	52.79	-	-	9.699%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-02-11T00:00:00	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-03-17T00:00:00	Net_Force	v4_computers	2¹	2⁵⁹		-	-	0.004	-	-
2001-11-17T00:00:00	Team Prime Rib	v4_computers	2¹	2⁶⁵		-	-	0.417	-	-
2014-03-01T07:01:00	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.427	-	-
2014-08-30T01:07:00	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.854	-	-
2018-02-11T22:47:49	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.708	-	-
2018-02-11T22:47:49	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.415	-	-
2020-04-11T12:39:36	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	6.831	-	-
2021-09-11T16:21:55	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	13.66	-	-
2021-10-08T19:13:19	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	27.32	-	-
2022-01-11T18:00:39	TheJudger	Manual testing	2⁷²	2⁷³		-	-	54.64	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.866 GHz-days
Estimated T-Level:	0.050

Digits	B1	Curves	Complete	FacMiss
20	11000	1 / 100	0.010	99.000%
25	50000	1 / 280	0.004	99.643%

New Calculation Method

Total ECM effort:	0.866 GHz-days
Estimated T-Level:	0.050

Digits	B1	Complete	FacMiss
20	11000	0.032	96.826%
25	50000	0.003	99.709%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.866

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-02-22T07:54:36	Oliver Kruse	HTC4	50000	5000000						1	0.866

date	userid	compid	res64	spent (GHz-days)
2006-08-14T00:00:00	ANONYMOUS	v4_computers	E654038C3060D16E	9.97

date

userid

compid

res64

spent (GHz-days)

2006-08-14T00:00:00

ANONYMOUS

v4_computers

E654038C3060D16E

9.97

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 = 10000000, B2 = 1000000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

10⁵

10⁶

10⁷

10⁸

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