M17052247 Mersenne number exponent details

Residue

Status

L-L

AF6474A1F1DF7B1F

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	224.3614	66.2162%	3021377	3021377	2.4947	2.5433%	226.8561	67.0754%
Target	2⁶⁹	7.0012	63.7681%	120000	3200000	0.2376	3.2967%	7.2389	64.9626%
Difference	+5	+217.3601	+2.4481%	+2901377	-178623	+2.2571	-0.7534%	+219.6172	+2.1128%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁴

224.3614

66.2162%

3021377

2.4947

2.5433%

226.8561

67.0754%

Target

2⁶⁹

7.0012

63.7681%

120000

3200000

0.2376

3.2967%

7.2389

64.9626%

Difference

+217.3601

+2.4481%

+2901377

-178623

+2.2571

-0.7534%

+219.6172

+2.1128%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17052247	420487281698112022420671196775052413281	39	128.305	12329380453441473795819143271120 2⁴ × 3 × 5 × 83 × 239 × 17659 × 20887 × 42641 × 184199 × 893917	2022-03-25	184199	893917	1.105e+10	0.1840	0.3095

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

17052247

420487281698112022420671196775052413281

128.305

12329380453441473795819143271120
2⁴ × 3 × 5 × 83 × 239 × 17659 × 20887 × 42641 × 184199 × 893917

2022-03-25

184199

893917

1.105e+10

0.1840

0.3095

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-11-16	ANONYMOUS	v4_computers	220000	5500000		-	MISSED FACTOR!	-	-	0.419	-	-	2.368%
2022-03-25	LaurV	Zero818	3021377	3021377			420487281698112022420671196775052413281	39	128.305	2.495	19.42	4.989	2.543%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-02-11	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-03-11	Net_Force	v4_computers	2¹	2⁵⁹		-	-	0.005	-	-
2001-08-12	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.428	-	-
2016-03-15	Mark Rose	Manual testing	2⁶⁵	2⁶⁶		-	-	0.438	-	-
2014-09-15	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.876	-	-
2016-01-21	mikr	Manual testing	2⁶⁷	2⁶⁸		-	-	1.753	-	-
2017-10-24	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.506	-	-
2020-01-19	masser	Manual testing	2⁶⁹	2⁷⁰		-	-	7.012	-	-
2021-09-09	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	14.02	-	-
2021-09-17	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	28.05	-	-
2022-01-11	ZacHFX	Manual testing	2⁷²	2⁷³		-	-	56.09	-	-
2022-01-31	Jon Pace	Manual testing	2⁷³	2⁷⁴		-	-	112.2	-	-

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
2017-11-03	yooper		50000	5000000						1	0.866

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-02-09	ANONYMOUS	v4_computers	AF6474A1F1DF7B1F	9.71
2007-02-05	Team Prime Rib	v4_computers	AF6474A1F1DF7B1F	9.71

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 (P-1 stage 1)

B1 = 220000, B2 = 5500000 (P-1 stage 2)

B1 = 220000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

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