M1 157 773 Mersenne number exponent details

is 2 ^1157773 - 1

has 348525 decimal digits

takes 0.034 GHz-days to do one PRP test

Exponent is not assigned to anyone

0 primality tests remaining

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁹	103.1176	69.5652%	2929412	5835686220	13.7831	11.2285%	116.9008	72.9826%
Target	2⁶⁰	0.1327	65.0000%	5000	26000	0.0003	0.7720%	0.1329	65.2702%
Difference	+9	+102.9850	+4.5652%	+2924412	+5835660220	+13.7829	+10.4565%	+116.7678	+7.7124%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1157773	43314780401454647096498323157948137243102087	44	144.958	18706076407661366734454130109247726991 3² × 149 × 227 × 108791 × 382567 × 384623 × 1075681 × 3568690183	2023-02-15	1075681	3568690183	1.360e+11	8.3997	15.607

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-16	Jocelyn Larouche	v4_computers	1000	1000		-		-	-	4.29764e-5	-	-	0.003%
2002-06-02	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.004	-	-	1.335%
2012-02-04	markr	tiny	500000	10000000		-		-	-	0.044	-	-	3.628%
2016-02-28	Jocelyn Larouche	Manual testing	2909412	52369416	12	-		-	-	0.241	-	-	5.993%
2017-10-29	mikr	Colorovo	15000000	500000000	12	-		-	-	1.780	-	-	9.557%
2023-01-17	Jocelyn Larouche	Manual testing	2929412	2099593860		-		-	-	5.035	-	-	10.078%
2023-02-15	Jocelyn Larouche	Manual testing	2929412	5835686220			43314780401454647096498323157948137243102087	44	144.958	13.78	0.069	27.57	11.228%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-10	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2003-05-04	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.033	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.099	-	-
2009-02-15	Sturle Sunde	giny.ifi	2⁶⁰	2⁶¹		-	-	0.133	-	-
2011-05-09	Xyzzy	Manual testing	2⁶¹	2⁶²		-	-	0.265	-	-
2012-10-11	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.848	-	-
2014-12-28	Matthias Wurtinger	Manual testing	2⁶³	2⁶⁴		-	-	1.696	-	-
2014-12-30	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	3.227	-	-
2015-08-28	omylist	Manual testing	2⁶⁵	2⁶⁶		-	-	6.454	-	-
2018-08-15	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	12.91	-	-
2020-02-29	Gordon Spence	Manual testing	2⁶⁷	2⁶⁸		-	-	25.82	-	-
2021-09-21	MadPoo	Manual testing	2⁶⁸	2⁶⁹		-	-	51.64	-	-

ECM factoring results:

Total ECM effort:	17.762 GHz-days
Estimated T-Level:	25.658

Digits	B1	Complete	FacMiss
20	11000	14.808	0.000%
25	50000	1.620	19.795%
30	250000	0.132	87.678%
35	1000000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	9.96
250000	25000000		44	7.800

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-18	Chad Davis	Bayes	50000	5000000						1	0.035
2008-06-21	Scott Kurowski	LM-Dell4600	50000	5000000						3	0.106
2009-01-09	Sturle Sunde	v23	50000	5000000						3	0.106
2009-06-06	Lukasz Wrobel	WORKER-1	50000	5000000						3	0.106
2009-09-14	symallad	old_laptop	50000	5000000						3	0.106
2010-01-08	sannerud.com	snap1	50000	5000000						3	0.106
2010-07-07	josibo	Ziben	50000	5000000						3	0.106
2011-02-26	greensinoz	giopa01	50000	5000000						3	0.106
2011-11-20	Bruce	GTLT-4540GZ	50000	5000000						3	0.106
2012-07-21	soldake		50000	5000000						3	0.106
2013-02-13	OS1	Tina	50000	5000000						3	0.106
2013-10-11	bayanne	iMac	50000	5000000						3	0.106
2014-02-19	OS1	Tina	50000	5000000						3	0.106
2014-03-09	Bruce	snowflake	50000	5000000						3	0.106
2014-08-22	OS1	Tina	50000	5000000						3	0.106
2015-03-06	Bruce	desk16	50000	5000000						3	0.106
2015-05-22	arnaud	adm-11-107	50000	5000000						3	0.106
2015-09-13	WileECoyote	S120	50000	5000000						3	0.106
2015-11-17	Jason U	Dell-Win7	50000	5000000						3	0.106
2016-02-26	OS1	Tina	50000	5000000						3	0.106
2016-04-01	raman22feb1988	Ashok	50000	5000000						3	0.106
2016-04-30	Bruce	Desk9	50000	5000000						3	0.106
2016-05-31	raman22feb1988	Ajith	50000	5000000						3	0.106
2016-07-22	raman22feb1988	Nithya	50000	5000000						3	0.106
2016-10-30	Charlie	deepthought04	50000	5000000						3	0.106
2017-03-06	Mathematicae KUHMANN	GIMPS-08	50000	5000000						3	0.106
2017-06-26	OS1	Tina	50000	5000000						3	0.106
2017-08-18	TJAOI	Manual testing	50000	5000000						64	2.269
2018-05-25	TJAOI	Manual testing	50000	5000000						138	4.892
2020-08-07	TJAOI	Manual testing	250000	25000000						44	7.800

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	David Tegerdine		8781D18322C7F14D	0.034
2015-11-11	MadPoo	Manual testing	8781D18322C7F14D	0.034

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-11-05

Ethan O'Connor

Highland2020

AB293316035207C4

2023-02-15

SRJ2877

LTOS

43314780401454647096498323157948137243102087

AB293316035207C4

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 = 2929412, B2 = 5835686220 (P-1 stage 2)

B1 = 2929412, B2 = 2099593860 (P-1 stage 2)

B1 = 15000000, B2 = 500000000 (P-1 stage 2)

B1 = 15000000 (P-1 stage 1)

B1 = 2909412, B2 = 52369416 (P-1 stage 2)

B1 = 2929412 (P-1 stage 1)

B1 = 2909412 (P-1 stage 1)

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 50000, B2 = 1000000 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

B1 = 1000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

this exponent TF target: 60

TF double-checked to: 67.7

ECM T-Level=25.66 ~= 69-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

2¹⁵⁰

Last modified: 2023-03-25T13:08:14+00:00

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