M1959773 Mersenne number exponent details

is 2 ^1959773 - 1

has 589951 decimal digits

takes 0.106 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	30.4142	69.1176%	40000000	153682214400	661.6186	19.6527%	692.0328	75.1869%	6.0692%
Target	2⁶²	0.3135	66.1290%	8000	90000	0.0010	1.1543%	0.3145	66.5200%	0.3910%
Difference	+6	+30.1007	+2.9886%	+39992000	+153682124400	+661.6176	+18.4983%	+691.7183	+8.6668%	+5.6782%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1959773	496725115027564379055130949758079983801	39	128.546	126730268002356492066971774220300 2² × 3 × 5² × 7 × 11821 × 51563 × 91499 × 18603281 × 58165139	2022-12-27	18603281	58165139	8.635e+10	1.6329	2.9782

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-05-07T14:42:00	kurly	hex	1000000	30000000		-		-	-	0.203	-	-	5.699%
2018-01-28T16:33:00	Jocelyn Larouche	low 4M	1959773	30000000	12	-		-	-	0.274	-	-	6.055%
2018-02-13T12:59:53	Jocelyn Larouche	low 4M	1959773	60000000	12	-		-	-	0.403	-	-	6.839%
2018-03-04T11:00:58	Jocelyn Larouche	low 4M	1959773	120000000	12	-		-	-	0.660	-	-	7.632%
2018-05-16T11:47:03	Jocelyn Larouche	low 4M	1959773	195977300	12	-		-	-	0.986	-	-	8.196%
2018-11-26T12:53:59	Jocelyn Larouche	Manual testing	1959773	244971625	12	-		-	-	1.196	-	-	8.454%
2022-12-19T09:25:41	Jocelyn Larouche	Manual testing	1959773	914023110		-		-	-	4.063	-	-	9.981%
2022-12-27T21:34:42	RichD0	Linux-5b	40000000	153682214400			496725115027564379055130949758079983801	39	128.546	661.6	0.213	1,323	19.653%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2022-08-15T19:18:06	masser	Manual testing	1500000	52500000	2	7			-	-	0.394

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-11T03:45:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.078	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.157	-	-
2011-08-27T22:19:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.814	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.501	-	-
2015-04-20T09:25:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.002	-	-
2015-04-20T09:25:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.907	-	-
2015-09-08T08:29:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.813	-	-
2018-01-08T13:22:30	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.626	-	-
2019-05-13T20:32:09	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.25	-	-

ECM factoring results:

Total ECM effort:	19.703 GHz-days
Estimated T-Level:	24.673

Digits	B1	Complete	FacMiss
20	11000	9.939	0.005%
25	50000	0.935	39.272%
30	250000	0.060	94.152%
35	1000000	0.003	99.708%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	201	13.99
50000	7500000	50	4.182
250000	235419030	1	1.528

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-21T22:42:00	ClknGo Software	plms3	50000	5000000						3	0.209
2009-08-18T01:58:00	SubPrime	abd1	50000	5000000						3	0.209
2011-01-23T17:28:00	Csaba Vágó	timigep	50000	5000000						3	0.209
2012-12-09T19:45:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.209
2014-01-13T06:33:00	OS1	L3	50000	5000000						3	0.209
2015-05-26T08:27:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.209
2016-02-12T19:04:44	Tapio Pätilä	JULIUS	50000	5000000						3	0.209
2016-03-30T19:24:06	Dave Matthews	VMW7-001	50000	5000000						3	0.209
2016-06-30T12:19:22	Bruce	test	50000	5000000						3	0.209
2016-10-15T14:45:53	Bruce	Desk6	50000	5000000						3	0.209
2017-06-06T10:33:06	Bruce	Desk6	50000	5000000						3	0.209
2017-09-17T23:03:30	Bruce	Desk6	50000	5000000						3	0.209
2018-01-20T01:30:29	Bruce	Desk6	50000	5000000						3	0.209
2018-06-17T21:43:40	Bruce	Desk6	50000	5000000						3	0.209
2019-04-20T15:24:47	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-07T10:34:54	George Woltman	colab	50000	5000000						3	0.209
2019-12-12T01:13:37	mnd9	75211cornerb	50000	5000000						3	0.209
2019-12-17T10:52:51	mnd9	75211cornerb	50000	5000000						3	0.209
2019-12-22T22:45:10	Keysarecool	HPLaptop	50000	5000000						3	0.209
2019-12-28T22:43:25	MarkS	desktop-i7	50000	5000000						3	0.209
2020-01-02T22:10:24	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.209
2020-01-09T07:27:45	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-01-16T19:44:10	EricP	Cannonfodder	50000	5000000						3	0.209
2020-01-23T22:25:09	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2020-01-30T00:51:42	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2020-02-15T07:04:26	EricP	Cannonfodder	50000	5000000						3	0.209
2020-02-22T17:27:41	MarkS	desktop-i7	50000	5000000						3	0.209
2020-02-29T18:48:21	mnd9	colab	50000	5000000						3	0.209
2020-03-06T14:11:31	mnd9	50869b	50000	5000000						3	0.209
2020-03-14T04:48:54	mnd9	75201b	50000	5000000						3	0.209
2020-03-22T02:06:22	mnd9	kitchen	50000	5000000						3	0.209
2020-04-03T11:33:01	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-04-08T06:07:56	Keysarecool	HPLaptop	50000	5000000						3	0.209
2020-04-17T13:47:05	mnd9	libproj	50000	5000000						3	0.209
2020-04-26T08:23:40	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-05-05T05:38:17	mnd9	50871b	50000	5000000						3	0.209
2020-05-19T22:03:27	nordi	sweet16	50000	5000000						3	0.209
2020-06-03T20:53:09	IanGlencross	glenx24	50000	5000000						3	0.209
2020-06-22T02:44:01	GAN	PG-HP	50000	5000000						3	0.209
2020-07-01T23:33:59	GAN	AC-GR	50000	5000000						3	0.209
2020-07-08T08:30:09	GAN	LMS-04	50000	5000000						3	0.209
2020-07-15T03:25:09	GAN	AC-GR	50000	5000000						3	0.209
2020-07-20T13:30:09	GAN	LMS-14	50000	5000000						3	0.209
2020-07-27T08:48:07	mnd9	kitchen	50000	5000000						3	0.209
2020-08-03T07:43:12	GAN	LMS-04	50000	5000000						3	0.209
2020-08-13T04:41:07	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2020-08-27T13:13:24	M. R. Mayer	nimbus	50000	5000000						7	0.487
2020-09-30T04:27:30	lycorn	colab_D_1	50000	5000000						7	0.487
2020-10-27T09:49:49	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.487
2020-12-03T03:48:07	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						7	0.487
2021-01-03T20:23:15	IanGlencross	glenx24	50000	5000000						7	0.487
2021-02-03T14:09:03	RIHATEC	i7-3770K	50000	5000000						7	0.487
2021-03-04T03:23:49	Zenzoma	AMD3970X	50000	5000000						7	0.487
2021-04-09T05:28:02	Zenzoma	AMD3970X	50000	5000000						7	0.487
2021-08-01T00:02:44	Jonathan Webb	do-primes-2	50000	5000000						7	0.487
2022-06-01T10:40:58	TJAOI	Manual testing	50000	7500000						50	4.182
2022-08-20T17:59:18	masser	Manual testing	250000	235419030						1	1.528

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-29T00:00:00	ANONYMOUS	v4_computers	D08E61C5F92C1809	0.106
2015-06-28T05:06:00	MadPoo	Manual testing	D08E61C5F92C1809	0.106

PRP results:

date

userid

compid

cofactors

res64

PRP

2022-12-27T23:01:34

LordJulius

WhiteBox

496725115027564379055130949758079983801

E735441AD6380C11

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 = 40000000, B2 = 153682214400 (P-1 stage 2)

B1 = 1959773, B2 = 914023110 (P-1 stage 2)

B1 = 40000000 (P-1 stage 1)

B1 = 1959773, B2 = 244971625 (P-1 stage 2)

B1 = 1959773, B2 = 195977300 (P-1 stage 2)

B1 = 1959773, B2 = 120000000 (P-1 stage 2)

B1 = 1959773, B2 = 60000000 (P-1 stage 2)

B1 = 1959773, B2 = 30000000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1959773 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10⁵

10⁶

10⁷

10⁸

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

Last modified: 2022-12-27T23:01:34+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