M1806269 Mersenne number exponent details

is 2 ^1806269 - 1

has 543742 decimal digits

takes 0.098 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	32.9989	69.1176%	1806269	180626900	0.9085	7.9736%	33.9074	71.5801%	2.4624%
PrimeNet	2⁵⁷	0.0106	63.1579%	8000	150000	0.0012	2.8720%	0.0119	64.2160%	1.0581%
GPU72	2⁶¹	0.1701	65.5738%	9000	130000	0.0012	1.5555%	0.1713	66.1093%	0.5355%
Difference	+7	+32.8288	+3.5439%	+1797269	+180496900	+0.9072	+6.4181%	+33.7361	+5.4708%	+5.4708%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1806269	348989279620260839233591	24	78.208	96605012769488055 3⁴ × 5 × 7² × 19 × 67 × 3824020003	2020-12-08	81	3824020003	54,688	16.389	30.610

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	25000	387500		-		-	-	0.004	-	-	1.036%
2011-02-09T16:51:00	Carsten Kossendey	leela	100000	1650000		-		-	-	0.015	-	-	2.197%
2014-05-12T10:21:00	Jocelyn Larouche	Manual testing	135534	135534		-		-	-	0.011	-	-	0.924%
2014-09-20T22:31:00	Jocelyn Larouche	Manual testing	171068	171068		-		-	-	0.013	-	-	1.051%
2015-05-05T12:06:00	mikr	MSI	2780000	91760000		-		-	-	0.600	-	-	7.480%
2018-09-19T11:52:23	Jocelyn Larouche	low 4M	1806269	180626900	12	-		-	-	0.908	-	-	7.974%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:53	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.064	-	-
2010-04-11T14:32:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.085	-	-
2016-02-23T16:28:53	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.170	-	-
2010-12-13T03:33:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.884	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.543	-	-
2015-04-20T21:14:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.087	-	-
2015-04-20T21:14:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.069	-	-
2015-09-01T08:49:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.137	-	-
2018-05-14T16:20:07	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.274	-	-
2019-06-24T09:36:05	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.55	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.944 GHz-days
Estimated T-Level:	24.500

Digits	B1	Curves	Complete	FacMiss
20	11000	252 / 100	2.520	7.945%
25	50000	252 / 280	0.900	40.592%

New Calculation Method

Total ECM effort:	17.944 GHz-days
Estimated T-Level:	24.500

Digits	B1	Complete	FacMiss
20	11000	8.283	0.025%
25	50000	0.749	47.268%
30	250000	0.046	95.482%
35	1000000	0.002	99.788%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		183	12.62
50000	5000000	348989279620260839233591	1	0.069
50000	6500000		67	5.171
60000	6000000		1	0.083

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-09-13T19:39:00	Scott Kurowski	UW1	50000	5000000						3	0.207
2009-07-17T23:48:00	Lukasz Wrobel	cm-3	50000	5000000						3	0.207
2010-10-17T10:20:00	Lupo	yorick	50000	5000000						3	0.207
2012-04-01T21:34:00	S36049	Wolle5	50000	5000000						3	0.207
2013-07-15T03:20:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-03-28T16:45:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-07-27T23:42:00	mikr	MSI	50000	5000000						12	0.828
2016-05-20T02:53:45	Bruce	DESK3	50000	5000000						3	0.207
2016-08-18T18:48:26	Bruce	DESK3	50000	5000000						3	0.207
2016-10-27T08:46:01	Bruce	DESK3	50000	5000000						3	0.207
2016-12-30T17:02:09	Bruce	DESK3	50000	5000000						3	0.207
2017-04-22T01:43:01	ANONYMOUS	Worker	50000	5000000						3	0.207
2017-11-16T06:29:39	Bruce	DESK3	50000	5000000						3	0.207
2018-01-24T10:02:44	Bruce	DESK3	50000	5000000						3	0.207
2019-11-21T13:28:33	Dylan Delgado	colab	50000	5000000						3	0.207
2019-11-24T11:36:50	arnaud	CHAMOT06	50000	5000000						3	0.207
2019-11-26T16:08:34	penlu	grizzly	50000	5000000						3	0.207
2019-11-29T16:55:41	daveward2005	Davy	50000	5000000						3	0.207
2019-12-03T07:28:55	Alvin Bunk	i7-Core	50000	5000000						3	0.207
2019-12-07T18:32:28	mnd9	50871b	50000	5000000						3	0.207
2019-12-11T16:16:48	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-12-16T20:07:35	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2019-12-22T05:18:37	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.207
2019-12-28T07:19:47	TheJudger	myECM	50000	5000000						3	0.207
2020-01-01T19:07:00	TheJudger	myECM	50000	5000000						3	0.207
2020-01-07T18:26:17	EricP	Cannonfodder	50000	5000000						3	0.207
2020-01-16T02:55:57	mnd9	kitchen	50000	5000000						3	0.207
2020-01-27T00:37:29	mnd9	kitchen	50000	5000000						3	0.207
2020-01-28T15:19:33	mnd9	27016b	50000	5000000						3	0.207
2020-02-02T12:32:56	nranks	wlaptop	50000	5000000						3	0.207
2020-02-06T10:12:45	EricP	Cannonfodder	50000	5000000						3	0.207
2020-02-16T23:02:35	Keysarecool	i9	50000	5000000						3	0.207
2020-02-21T15:44:53	Keysarecool	HPLaptop	50000	5000000						3	0.207
2020-03-01T21:13:33	Nesowa	6700T	50000	5000000						3	0.207
2020-03-06T06:16:11	mnd9	25836b	50000	5000000						3	0.207
2020-03-12T18:32:39	MarkS	laptop64	50000	5000000						3	0.207
2020-03-20T09:45:09	Keysarecool	HPLaptop	50000	5000000						3	0.207
2020-04-01T13:26:49	mnd9	221Rb	50000	5000000						3	0.207
2020-04-14T22:23:18	mnd9	eileen	50000	5000000						3	0.207
2020-04-25T09:45:06	Brett Walker	brain	50000	5000000						3	0.207
2020-05-03T02:59:34	Oliver Kruse	IOS-1	50000	5000000						3	0.207
2020-05-14T08:49:28	Keysarecool	HPLaptop	50000	5000000						3	0.207
2020-05-31T09:26:59	alpertron	laptop3	50000	5000000						3	0.207
2020-06-21T12:09:45	LaurV	3tits	50000	5000000						3	0.207
2020-07-01T01:03:02	lycorn	colab_ES	50000	5000000						3	0.207
2020-07-09T06:21:20	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.207
2020-07-14T01:36:26	mnd9	kitchen	50000	5000000						3	0.207
2020-07-19T17:20:28	GAN	LMS-02	50000	5000000						3	0.207
2020-07-26T15:59:35	GAN	AC-KL	50000	5000000						3	0.207
2020-08-02T07:54:52	GAN	LMS-17	50000	5000000						3	0.207
2020-08-10T02:27:15	GAN	LMS-12	50000	5000000						3	0.207
2020-08-23T19:40:37	J.R. Allen	lapacer	50000	5000000						7	0.483
2020-09-26T06:33:35	MarkS	desktop-i7	50000	5000000						7	0.483
2020-10-23T19:17:23	Albrecht Heeffer	Ryzen5-factoring	50000	5000000						7	0.483
2020-11-26T19:35:04	Peredron	Peredron2	60000	6000000						1	0.083
2020-12-08T09:01:26	daveward2005	Dave2	50000	5000000	348989279620260839233591	78.208	1	2	1451158217928566	1	0.069
2021-02-26T17:52:38	TJAOI	Manual testing	50000	6500000						67	5.171

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	ANONYMOUS	v4_computers	147F010B52165AFD	0.098
2015-07-18T18:31:00	MadPoo	Manual testing	147F010B52165AFD	0.098

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-12-08T13:14:20

riccardo uberti

Colab_noGPU8

348989279620260839233591

0F0BEBA869C43801

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 = 1806269, B2 = 180626900 (P-1 stage 2)

B1 = 2780000, B2 = 91760000 (P-1 stage 2)

B1 = 2780000 (P-1 stage 1)

B1 = 1806269 (P-1 stage 1)

B1 = 100000, B2 = 1650000 (P-1 stage 2)

B1 = 171068 (P-1 stage 1)

B1 = 135534 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 25000, B2 = 387500 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-02-26T17:52:38+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