M17023751 Mersenne number exponent details

Residue

Status

L-L

DA653B7102A502A8

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁴	224.7369	66.2162%	3021377	7729167600	350.0640	10.2026%	574.8009	69.6630%
Target	2⁶⁹	7.0130	63.7681%	120000	3200000	0.2376	3.2960%	7.2506	64.9623%
Difference	+5	+217.7240	+2.4481%	+2901377	+7725967600	+349.8264	+6.9066%	+567.5504	+4.7007%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁴

224.7369

66.2162%

3021377

7729167600

350.0640

10.2026%

574.8009

69.6630%

Target

2⁶⁹

7.0130

63.7681%

120000

3200000

0.2376

3.2960%

7.2506

64.9623%

Difference

+217.7240

+2.4481%

+2901377

+7725967600

+349.8264

+6.9066%

+567.5504

+4.7007%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17023751	23915237933794823825180948685421137457	38	124.169	702408004375616860972089778728 2³ × 3 × 89 × 137 × 1129 × 338477 × 947719 × 6627732077	2022-03-10	947719	6627732077	1.081e+10	298.90	556.87

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

17023751

23915237933794823825180948685421137457

124.169

702408004375616860972089778728
2³ × 3 × 89 × 137 × 1129 × 338477 × 947719 × 6627732077

2022-03-10

947719

6627732077

1.081e+10

298.90

556.87

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-11-09	Marzbug	v4_computers	200000	3050000		-		-	-	0.293	-	-	2.025%
2022-02-15	LaurV	Zero818	3021377	3021377		-		-	-	2.495	-	-	2.543%
2022-03-10	LaurV	Zero818	3021377	7729167600			23915237933794823825180948685421137457	38	124.169	350.1	19.39	700.1	10.203%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-02-04	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-03-05	Net_Force	v4_computers	2¹	2⁵⁹		-	-	0.005	-	-
2001-07-29	oerwin	v4_computers	2¹	2⁶⁵		-	-	0.429	-	-
2014-03-13	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.439	-	-
2014-09-15	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.878	-	-
2015-11-13	mikr	Manual testing	2⁶⁷	2⁶⁸		-	-	1.756	-	-
2017-10-22	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.512	-	-
2019-12-19	masser	Manual testing	2⁶⁹	2⁷⁰		-	-	7.023	-	-
2021-09-09	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	14.05	-	-
2021-09-14	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	28.09	-	-
2021-12-28	Architects Cubed	GPU72_TF	2⁷²	2⁷³		-	-	56.19	-	-
2021-12-31	Jon Pace	Manual testing	2⁷³	2⁷⁴		-	-	112.4	-	-

ECM factoring results:

Total ECM effort:	0.866 GHz-days
Estimated T-Level:	0.192

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

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
2017-10-28	Grant	tiny	50000	5000000						1	0.866

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-01-09	Marzbug	v4_computers	DA653B7102A502A8	9.69
2007-07-04	Gnorfe	v4_computers	DA653B7102A502A8	9.69

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 = 3021377, B2 = 7729167600 (P-1 stage 2)

B1 = 3021377 (P-1 stage 1)

B1 = 200000, B2 = 3050000 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁹

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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