M11 632 459 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	82.2125	66.6667%	8000000	21589789650	660.8761	13.6220%	743.0886	71.2073%
Target	2⁶⁸	5.1240	64.7059%	80000	10000000	0.3464	2.9273%	5.4704	65.7391%
Difference	+4	+77.0885	+1.9608%	+7920000	+21579789650	+660.5298	+10.6947%	+737.6183	+5.4683%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
11632459	194138159009068346238292319	27	87.327	8344674114435664301 727 × 15971 × 239201 × 3004553	2022-12-17	239201	3004553	4,887,898	0.2176	0.2718
11632459	87753166642556463735696281591794726992743	41	136.011	3771909561106403372481101441741369 113 × 283 × 17581 × 70891 × 128021 × 2127043 × 347539547	2022-12-18	2127043	347539547	1.336e+10	11.693	19.743

exponent	prime factors	composite factor	digits	bits*
11632459	194138159009068346238292319 87753166642556463735696281591794726992743	17036238219201899021819604607916588068685027745668 509880150625641017	68	223.338

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-12-07	ANONYMOUS	v4_computers	170000	170000		-		-	-	0.095	-	-	0.847%
2012-03-23	James Heinrich	i7-920	225000	5400000		-		-	-	0.283	-	-	2.798%
2022-12-17	riccardo uberti	Colab_noGPU14	1500000	102234990			194138159009068346238292319	27	87.327	3.901	8.957	7.802	6.222%
2022-12-18	riccardo uberti	Xeon20C	8000000	21589789650			87753166642556463735696281591794726992743	41	136.011	660.9	8.957	1,322	13.622%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2022-12-22	riccardo uberti	Colab_noGPU15	2000000	40000000	2	7			-	-	2.830
2022-12-29	riccardo uberti	Colab_noGPU15	2300000	48000000	6	5			-	-	3.314

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-02-09	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.306	-	-
2013-11-03	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.321	-	-
2014-12-20	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.642	-	-
2016-01-30	VictordeHollander	Manual testing	2⁶⁶	2⁶⁷		-	-	1.285	-	-
2018-01-02	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	2.570	-	-
2018-01-02	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	5.139	-	-
2021-08-06	SRBase	Manual testing	2⁶⁹	2⁷⁰		-	-	10.28	-	-
2021-08-14	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	20.56	-	-
2022-12-11	riccardo uberti	GPU72_TF	2⁷¹	2⁷²		-	-	41.11	-	-

ECM factoring results:

Total ECM effort:	12.678 GHz-days
Estimated T-Level:	2.885

Digits	B1	Complete	FacMiss
20	11000	0.577	56.162%
25	50000	0.055	94.608%
30	250000	0.004	99.643%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		2	1.171
50000	14702278		10	11.51

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-12-20	Bruce	Desk2	50000	5000000						1	0.585
2017-11-18	BloodIce	URM2	50000	5000000						1	0.585
2022-12-20	riccardo uberti	Colab_noGPU8	50000	14702278						10	11.51

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2001-02-18	ANONYMOUS	v4_computers	F75282FD431CE098	4.478
2004-04-09	Barbados_Island	v4_computers	F75282FD431CE098	4.478

PRP results:

date

userid

compid

cofactors

res64

PRP

2022-12-19

riccardo uberti

Nomad2C

194138159009068346238292319

5650FF2704AFB0F5

2022-12-20

riccardo uberti

Nomad2C

194138159009068346238292319

87753166642556463735696281591794726992743

5650FF2704AFB0F5

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 = 8000000, B2 = 21589789650 (P-1 stage 2)

B1 = 8000000 (P-1 stage 1)

B1 = 1500000, B2 = 102234990 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

B1 = 225000, B2 = 5400000 (P-1 stage 2)

B1 = 225000 (P-1 stage 1)

B1 = 170000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 68

TF double-checked to: 67.9

ECM T-Level=2.88 ~= -7-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

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