M1813699 Mersenne number exponent details

is 2 ^1813699 - 1

has 545978 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	32.8637	69.1176%	1813699	181369900	0.9122	7.9847%	33.7759	71.5835%	2.4659%
PrimeNet	2⁵⁷	0.0106	63.1579%	8000	150000	0.0012	2.8743%	0.0118	64.2168%	1.0589%
GPU72	2⁶¹	0.1694	65.5738%	9000	130000	0.0012	1.5568%	0.1706	66.1097%	0.5359%
Difference	+7	+32.6943	+3.5439%	+1804699	+181239900	+0.9110	+6.4279%	+33.6053	+5.4738%	+5.4738%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1813699	6436335304832558007959047	25	82.413	1774366999384285377 3³ × 40129 × 1637650982419	2020-09-08	40129	1637650982419	890,362	7,018.6	13,109

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-09T16:51:00	Carsten Kossendey	leela	100000	1650000		-		-	-	0.015	-	-	2.198%
2014-05-13T21:10:00	Jocelyn Larouche	Manual testing	135389	135389		-		-	-	0.011	-	-	0.924%
2014-09-22T21:00:00	Jocelyn Larouche	Manual testing	170778	170778		-		-	-	0.013	-	-	1.050%
2015-05-20T06:14:00	mikr	MSI	2780000	91760000		-		-	-	0.600	-	-	7.483%
2018-09-21T11:45:47	Jocelyn Larouche	low 4M	1813699	181369900	12	-		-	-	0.912	-	-	7.985%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:53	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.064	-	-
2010-04-17T14:28:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.085	-	-
2016-02-23T16:28:53	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.169	-	-
2011-01-21T16:10:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.880	-	-
2016-02-23T16:28:53	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.541	-	-
2015-04-22T21:30:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.082	-	-
2015-04-22T21:30:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.060	-	-
2015-09-02T13:37:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.120	-	-
2018-04-02T12:17:07	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.240	-	-
2019-07-01T11:11:04	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.48	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.993 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	17.993 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.279	0.025%
25	50000	0.749	47.286%
30	250000	0.046	95.485%
35	1000000	0.002	99.788%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		162	11.18
50000	5000000	6436335304832558007959047	7	0.483
50000	6500000		82	6.332

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-09-20T07:09:00	Scott Kurowski	UW2	50000	5000000						3	0.207
2009-07-15T02:12:00	James Hintz	12_071409	50000	5000000						3	0.207
2010-10-24T10:22:00	Mistel		50000	5000000						3	0.207
2012-04-16T14:14:00	OS1	L3	50000	5000000						3	0.207
2013-07-25T02:55:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-04-08T19:08:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-08-28T14:49:00	mikr	MSI	50000	5000000						12	0.828
2016-05-22T17:26:33	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-08-22T20:41:08	Bruce	DESK3	50000	5000000						3	0.207
2016-11-01T09:50:19	Bruce	DESK3	50000	5000000						3	0.207
2017-01-03T09:02:31	Bruce	DESK3	50000	5000000						3	0.207
2017-04-24T03:56:57	ANONYMOUS	Worker	50000	5000000						3	0.207
2017-11-20T05:36:46	Bruce	DESK3	50000	5000000						3	0.207
2018-01-28T21:58:20	Bruce	DESK3	50000	5000000						3	0.207
2019-11-20T09:49:52	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-11-25T06:49:44	arnaud	CHAMOT06	50000	5000000						3	0.207
2019-11-27T07:55:30	Alvin Bunk	i7-Core	50000	5000000						3	0.207
2019-12-01T03:03:53	LordJulius	BlackboxNouveau	50000	5000000						3	0.207
2019-12-04T15:59:29	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-12-05T09:26:36	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.207
2019-12-08T22:49:49	Nesowa	6700T	50000	5000000						3	0.207
2019-12-13T06:00:14	Dylan Delgado	colab	50000	5000000						3	0.207
2019-12-22T11:46:48	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-12-24T22:37:22	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2019-12-30T02:06:55	TheJudger	myECM	50000	5000000						3	0.207
2020-01-03T23:22:50	TheJudger	myECM	50000	5000000						3	0.207
2020-01-10T20:17:01	Keysarecool	HPLaptop	50000	5000000						3	0.207
2020-01-18T17:57:06	mnd9	221Rb	50000	5000000						3	0.207
2020-01-24T20:32:02	mnd9	colab	50000	5000000						3	0.207
2020-02-01T05:59:34	EricP	Cannonfodder	50000	5000000						3	0.207
2020-02-10T13:37:27	Alvin Bunk	BADCAT	50000	5000000						3	0.207
2020-02-17T17:02:11	mnd9	75201b	50000	5000000						3	0.207
2020-02-24T12:12:43	mat10243x	K2	50000	5000000						3	0.207
2020-03-03T21:05:49	Corey	Computer	50000	5000000						3	0.207
2020-03-08T18:41:46	MarkS	desktop-i7	50000	5000000						3	0.207
2020-03-16T19:15:06	Brett Walker	brain	50000	5000000						3	0.207
2020-03-29T11:11:15	Sebastian Hornbostel	NZXT	50000	5000000						3	0.207
2020-04-06T22:51:49	mnd9	eileen	50000	5000000						3	0.207
2020-04-21T00:00:03	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.207
2020-04-28T11:50:40	nordi	sweet16	50000	5000000						3	0.207
2020-05-08T20:41:37	mnd9	27016b	50000	5000000						3	0.207
2020-05-22T16:53:01	Akmal Sultonov	8400	50000	5000000						3	0.207
2020-06-10T01:13:00	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2020-06-26T08:46:57	LaurV	3tits	50000	5000000						3	0.207
2020-07-06T21:04:03	LaurV	3tits	50000	5000000						3	0.207
2020-07-10T06:10:00	daveward2005	Dave2	50000	5000000						3	0.207
2020-07-16T02:44:44	GAN	LMS-12	50000	5000000						3	0.207
2020-07-22T08:50:06	GAN	LMS-16	50000	5000000						3	0.207
2020-07-29T00:07:27	GAN	LMS-02	50000	5000000						3	0.207
2020-08-05T10:35:13	GAN	LMS-16	50000	5000000						3	0.207
2020-08-13T19:06:44	daveward2005	Dave2	50000	5000000						3	0.207
2020-09-08T11:31:16	mnd9	libproj	50000	5000000	6436335304832558007959047	82.413	7	2	8760940870155094	7	0.483
2021-03-05T18:09:06	TJAOI	Manual testing	50000	6500000						82	6.332

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2015-07-18T18:31:00	MadPoo	Manual testing	3A7829B2E485F9__	0.098

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-09-09T11:16:51

ViliamF

AWS

6436335304832558007959047

6619340A9B6CFD75

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 = 1813699, B2 = 181369900 (P-1 stage 2)

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

B1 = 2780000 (P-1 stage 1)

B1 = 1813699 (P-1 stage 1)

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

B1 = 170778 (P-1 stage 1)

B1 = 135389 (P-1 stage 1)

B1 = 100000 (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: 2021-03-05T18:09:06+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