M11 493 257 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	83.2082	66.6667%	8000000	21589789650	660.8761	13.6097%	744.0844	71.2032%
Target	2⁶⁸	5.1861	64.7059%	80000	15200000	0.5045	2.8882%	5.6906	65.7252%
Difference	+4	+78.0222	+1.9608%	+7920000	+21574589650	+660.3716	+10.7215%	+738.3938	+5.4780%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
11493257	86116538706371919036143	23	76.189	3746394025051903 4204493 × 891045371	2023-05-05	4204493	891045371	1,707.1	29.320	50.617

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-02-04	ANONYMOUS	v4_computers	140000	2415000		-		-	-	0.147	-	-	2.126%
2023-03-24	riccardo uberti	Colab_noGPU14	1500000	102858210		-		-	-	3.920	-	-	6.220%
2023-05-08	riccardo uberti	Xeon20C	8000000	21589789650		-	skipped known factor: 86116538706371919036143	-	-	660.9	-	-	13.610%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2023-05-05	riccardo uberti	Colab_noGPU12	2000000	40000000	2	7	86116538706371919036143	P+1	23	76.189	2.830
2023-05-09	riccardo uberti	Nomad2C	2500000	50000000	6	5			-	-	3.537

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-01-12	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.310	-	-
2013-11-09	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.325	-	-
2015-03-15	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.650	-	-
2016-01-15	VictordeHollander	Manual testing	2⁶⁶	2⁶⁷		-	-	1.300	-	-
2018-01-01	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	2.601	-	-
2018-01-01	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	5.201	-	-
2021-08-06	SRBase	Manual testing	2⁶⁹	2⁷⁰		-	-	10.40	-	-
2021-08-15	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	20.81	-	-
2023-02-22	riccardo uberti	GPU72_TF	2⁷¹	2⁷²		-	-	41.61	-	-

ECM factoring results:

Total ECM effort:	23.848 GHz-days
Estimated T-Level:	20.519

Digits	B1	Complete	FacMiss
20	11000	1.077	34.064%
25	50000	0.104	90.146%
30	250000	0.007	99.332%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		2	1.171
50000	14413245		20	22.68

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-11-23	arnaud	SRV-530	50000	5000000						1	0.585
2017-09-12	One Man	Athlon1620	50000	5000000						1	0.585
2023-04-15	riccardo uberti	Colab_noGPU9	50000	14413245						10	11.34
2023-05-11	riccardo uberti	Colab_noGPU10	50000	14413245						10	11.34

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2001-04-15	ANONYMOUS	v4_computers	143D9B8E82E51B52	4.425
2005-02-02	ANONYMOUS	v4_computers	143D9B8E82E51B52	4.425

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 = 102858210 (P-1 stage 2)

B1 = 2000000, B2 = 40000000 (P+1 stage 2)

B1 = 2000000 (P+1 stage 1)

B1 = 1500000 (P-1 stage 1)

B1 = 140000, B2 = 2415000 (P-1 stage 2)

B1 = 140000 (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: 67.8

ECM T-Level=20.52 ~= 52-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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