M1943857 Mersenne number exponent details

is 2 ^1943857 - 1

has 585160 decimal digits

takes 0.105 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	30.6632	69.1176%	1943857	194385700	0.9777	8.1736%	31.6409	71.6418%	2.5242%
PrimeNet	2⁵⁸	0.0198	63.7931%	8000	140000	0.0012	2.4653%	0.0209	64.6857%	0.8926%
GPU72	2⁶²	0.3161	66.1290%	8000	90000	0.0010	1.1523%	0.3170	66.5193%	0.3903%
Difference	+6	+30.3471	+2.9886%	+1935857	+194295700	+0.9767	+7.0213%	+31.3238	+5.1225%	+5.1225%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1943857	298035345530306835913351159	27	87.946	76660820608282099947 3² × 101 × 10289 × 8196650423047	2021-04-20	10289	8196650423047	23,338,062	35,129	65,611

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-06-02T21:49:00	kurly	hex	1000000	30000000		-		-	-	0.203	-	-	5.694%
2018-01-28T11:49:26	Jocelyn Larouche	low 4M	1943857	30000000	12	-		-	-	0.273	-	-	6.045%
2018-02-11T18:50:07	Jocelyn Larouche	low 4M	1943857	60000000	12	-		-	-	0.402	-	-	6.828%
2018-03-02T12:42:18	Jocelyn Larouche	low 4M	1943857	120000000	12	-		-	-	0.659	-	-	7.619%
2018-05-03T20:13:00	Jocelyn Larouche	low 4M	1943857	194385700	12	-		-	-	0.978	-	-	8.174%

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	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-25T14:14:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.158	-	-
2011-08-27T22:18:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.821	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.505	-	-
2015-05-05T06:43:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.010	-	-
2015-05-05T06:44:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.922	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.844	-	-
2017-10-27T12:33:02	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.689	-	-
2019-05-11T16:32:14	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.38	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.211 GHz-days
Estimated T-Level:	24.464

Digits	B1	Curves	Complete	FacMiss
20	11000	250 / 100	2.500	8.106%
25	50000	250 / 280	0.893	40.883%

New Calculation Method

Total ECM effort:	18.211 GHz-days
Estimated T-Level:	24.464

Digits	B1	Complete	FacMiss
20	11000	8.267	0.026%
25	50000	0.744	47.518%
30	250000	0.046	95.513%
35	1000000	0.002	99.790%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		183	12.73
50000	5000000	298035345530306835913351159	6	0.417
50000	6750000		7	0.555
50000	7500000		54	4.511

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-15T00:21:00	firehawk	cidnp2	50000	5000000						3	0.209
2009-08-12T17:11:00	SubPrime	stor	50000	5000000						3	0.209
2011-01-29T08:41:00	c10ck3r	aleman	50000	5000000						3	0.209
2012-11-22T04:27:00	Donna Noble	Q6600v2	50000	5000000						3	0.209
2014-02-22T00:04:00	Andy Incline	Office-PC	50000	5000000						3	0.209
2015-04-17T19:02:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.209
2015-10-20T09:27:12	Chris Smith	starcraft2	50000	5000000						3	0.209
2016-03-19T16:07:16	Hartmut Birr	C7CE7B89E	50000	5000000						3	0.209
2016-06-24T03:24:30	Bruce	Desk6	50000	5000000						3	0.209
2016-09-30T15:57:44	ANONYMOUS	PD925	50000	5000000						3	0.209
2017-06-03T03:54:55	Bruce	Desk6	50000	5000000						3	0.209
2017-10-02T09:38:44	Bruce	Desk6	50000	5000000						3	0.209
2018-01-02T12:45:21	Bruce	Desk6	50000	5000000						3	0.209
2018-05-23T12:28:04	Bruce	Desk6	50000	5000000						3	0.209
2019-04-13T04:40:28	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-04T14:14:40	mnd9	consult	50000	5000000						3	0.209
2019-12-09T05:09:45	mnd9	50871b	50000	5000000						3	0.209
2019-12-13T18:08:10	mnd9	colab	50000	5000000						3	0.209
2019-12-18T03:41:20	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2019-12-24T11:42:14	Brett Walker	brain	50000	5000000						3	0.209
2019-12-29T18:31:55	TheJudger	myECM	50000	5000000						3	0.209
2020-01-03T22:34:43	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2020-01-11T03:43:34	mnd9	27016	50000	5000000						3	0.209
2020-01-18T16:24:24	David_McCann	i5	50000	5000000						3	0.209
2020-01-23T16:07:23	mnd9	221Lb	50000	5000000						3	0.209
2020-02-03T02:27:21	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2020-02-09T13:33:00	IanGlencross	glenx24	50000	5000000						3	0.209
2020-02-17T09:03:42	daveward2005	MW	50000	5000000						3	0.209
2020-02-24T08:51:18	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-03-02T08:35:13	mnd9	27016b	50000	5000000						3	0.209
2020-03-08T08:42:15	mnd9	75201b	50000	5000000						3	0.209
2020-03-24T14:04:23	Keysarecool	HPLaptop	50000	5000000						3	0.209
2020-04-05T21:57:28	mnd9	fb	50000	5000000						3	0.209
2020-04-19T14:42:17	Yxinity	Olga	50000	5000000						3	0.209
2020-04-28T02:35:57	mnd9	25836b	50000	5000000						3	0.209
2020-05-07T14:56:44	mnd9	libproj	50000	5000000						3	0.209
2020-05-15T19:53:01	MarkS	laptop64	50000	5000000						3	0.209
2020-05-20T08:27:29	mnd9	kitchen	50000	5000000						3	0.209
2020-06-08T05:23:01	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-06-25T19:36:26	mnd9	25836b	50000	5000000						3	0.209
2020-07-03T05:11:48	IanGlencross	glenx24	50000	5000000						3	0.209
2020-07-09T19:37:59	GAN	OSK-L2	50000	5000000						3	0.209
2020-07-15T13:55:42	GAN	LMS-13	50000	5000000						3	0.209
2020-07-21T20:39:37	GAN	LMS-06	50000	5000000						3	0.209
2020-07-28T14:55:04	mnd9	50871b	50000	5000000						3	0.209
2020-08-05T02:09:51	MarkS	desktop-i7	50000	5000000						3	0.209
2020-08-12T20:28:57	GAN	LMS-18	50000	5000000						3	0.209
2020-09-01T09:58:45	lycorn	colab_A	50000	5000000						7	0.487
2020-10-07T05:23:07	LaurV	3tits	50000	5000000						7	0.487
2020-10-31T15:29:51	daveward2005	Dave2	50000	5000000						7	0.487
2020-12-06T05:01:23	M0CZY	630m	50000	5000000						7	0.487
2021-01-08T07:55:24	C.D.B.	i7-6850K	50000	5000000						7	0.487
2021-02-07T08:09:56	lycorn	colab_DG	50000	6750000						7	0.555
2021-03-13T08:37:08	Zenzoma	AM3700X_1	50000	5000000						7	0.487
2021-04-20T11:44:39	Chang Chia-Tche	ex-ctcpc	50000	5000000	298035345530306835913351159	87.946	6	2	6800719867221291	6	0.417
2022-04-21T11:52:05	TJAOI	Manual testing	50000	7500000						54	4.511

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-12-27T00:00:00	ANONYMOUS	v4_computers	69DAF665EE6E14B9	0.105
2015-07-12T18:10:00	MadPoo	Manual testing	69DAF665EE6E14B9	0.105

PRP results:

date

userid

compid

cofactors

res64

PRP

2021-04-21T14:12:52

Cork

Zero818

298035345530306835913351159

DB3678B0EC16D0D7

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 = 1943857, B2 = 194385700 (P-1 stage 2)

B1 = 1943857, B2 = 120000000 (P-1 stage 2)

B1 = 1943857, B2 = 60000000 (P-1 stage 2)

B1 = 1943857, B2 = 30000000 (P-1 stage 2)

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

B1 = 1943857 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-04-21T11:52:05+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