M1803563 Mersenne number exponent details

is 2 ^1803563 - 1

has 542927 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	33.0484	69.1176%	3000000	393000000	1.9074	9.2815%	34.9558	71.9840%	2.8663%
PrimeNet	2⁵⁷	0.0106	63.1579%	8000	150000	0.0012	2.8712%	0.0119	64.2157%	1.0578%
GPU72	2⁶¹	0.1703	65.5738%	9000	130000	0.0012	1.5550%	0.1715	66.1091%	0.5353%
Difference	+7	+32.8781	+3.5439%	+2991000	+392870000	+1.9062	+7.7265%	+34.7843	+5.8749%	+5.8749%

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	-	-	1.035%
2011-02-10T06:34:00	Carsten Kossendey	leela	100000	1650000		-		-	-	0.015	-	-	2.196%
2014-05-12T10:21:00	Jocelyn Larouche	Manual testing	135587	135587		-		-	-	0.011	-	-	0.924%
2014-09-20T22:31:00	Jocelyn Larouche	Manual testing	171174	171174		-		-	-	0.013	-	-	1.051%
2015-05-01T22:43:00	mikr	MSI	2780000	91760000		-		-	-	0.600	-	-	7.479%
2018-09-19T11:52:22	Jocelyn Larouche	low 4M	1803563	180356300	12	-		-	-	0.907	-	-	7.970%
2021-07-12T19:37:07	Dylan Delgado	laptop-ryzen73700	3000000	393000000		-		-	-	1.907	-	-	9.281%

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	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.064	-	-
2010-04-12T07:30:00	Architects Cubed	m1_tt	2⁶⁰	2⁶¹		-	-	0.085	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.170	-	-
2010-12-13T03:33:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.885	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.544	-	-
2015-04-20T21:13:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.089	-	-
2015-04-20T21:13:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.072	-	-
2015-08-31T08:30:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.143	-	-
2018-05-28T14:40:34	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.287	-	-
2019-07-15T09:27:30	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.57	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.549 GHz-days
Estimated T-Level:	24.804

Digits	B1	Curves	Complete	FacMiss
20	11000	269 / 100	2.690	6.697%
25	50000	269 / 280	0.961	38.196%

New Calculation Method

Total ECM effort:	18.549 GHz-days
Estimated T-Level:	24.804

Digits	B1	Complete	FacMiss
20	11000	10.346	0.003%
25	50000	0.957	38.393%
30	250000	0.060	94.141%
35	1000000	0.003	99.718%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		269	18.55

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-09-11T09:30:00	paulie	iMac3.4	50000	5000000						3	0.207
2009-07-15T14:18:00	SubPrime	mysql0	50000	5000000						3	0.207
2010-10-16T16:46:00	Lackó	Iroda_Laci	50000	5000000						3	0.207
2012-03-29T06:28:00	OS1	L3	50000	5000000						3	0.207
2013-07-11T07:36:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-03-25T11:03:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-07-09T21:16:00	mikr	MSI	50000	5000000						12	0.827
2016-05-24T06:44:50	Brokoliz	brokolizpc	50000	5000000						3	0.207
2016-08-17T19:29:09	Bruce	DESK3	50000	5000000						3	0.207
2016-10-25T19:05:02	Bruce	DESK3	50000	5000000						3	0.207
2016-12-29T04:00:07	Bruce	DESK3	50000	5000000						3	0.207
2017-04-21T06:05:42	ANONYMOUS	Worker	50000	5000000						3	0.207
2017-11-14T22:55:18	Bruce	DESK3	50000	5000000						3	0.207
2018-01-22T10:16:46	Bruce	DESK3	50000	5000000						3	0.207
2019-11-19T08:34:21	George Woltman	kaggle1	50000	5000000						3	0.207
2019-11-21T16:53:45	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2019-11-23T17:43:48	mat10243x	B2	50000	5000000						3	0.207
2019-11-29T02:28:48	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-12-03T02:33:44	Nesowa	6700T	50000	5000000						3	0.207
2019-12-06T14:19:50	mnd9	kitchen	50000	5000000						3	0.207
2019-12-11T00:41:27	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-12-15T18:19:21	mnd9	colab	50000	5000000						3	0.207
2019-12-21T04:49:45	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2019-12-27T18:14:38	IanGlencross	glenx24	50000	5000000						3	0.207
2020-01-01T04:40:24	IanGlencross	glenx24	50000	5000000						3	0.207
2020-01-07T19:40:44	Corey	Computer	50000	5000000						3	0.207
2020-01-14T17:19:26	EricP	Cannonfodder	50000	5000000						3	0.207
2020-01-21T11:54:52	daveward2005	MW	50000	5000000						3	0.207
2020-01-26T01:24:22	TheJudger	Ananke	50000	5000000						3	0.207
2020-01-27T14:02:18	mnd9	kitchen	50000	5000000						3	0.207
2020-02-05T17:48:01	cappy95833	HomePC	50000	5000000						3	0.207
2020-02-13T08:48:44	Brett Walker	brain	50000	5000000						3	0.207
2020-02-23T22:55:20	mnd9	kitchen	50000	5000000						3	0.207
2020-02-27T20:53:49	Nesowa	entropy_generator_2	50000	5000000						3	0.207
2020-03-05T05:46:40	mnd9	kitchen	50000	5000000						3	0.207
2020-03-11T23:06:46	mnd9	75211backdoorb	50000	5000000						3	0.207
2020-03-19T07:32:36	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2020-03-31T03:03:07	mnd9	colab2	50000	5000000						3	0.207
2020-04-13T01:59:43	Keysarecool	HPLaptop	50000	5000000						3	0.207
2020-04-24T05:48:07	mnd9	75211backdoorb	50000	5000000						3	0.207
2020-05-01T13:50:21	Oliver Kruse	IOS-1	50000	5000000						3	0.207
2020-05-13T00:50:52	nordi	sweet16	50000	5000000						3	0.207
2020-05-28T22:51:35	Brett Walker	brain	50000	5000000						3	0.207
2020-06-16T10:35:26	mat10243x	K3	50000	5000000						3	0.207
2020-06-29T12:07:57	MarkS	laptop64	50000	5000000						3	0.207
2020-07-06T13:57:28	GAN	OSB-01	50000	5000000						3	0.207
2020-07-12T23:47:07	GAN	OSK-L2	50000	5000000						3	0.207
2020-07-19T17:07:07	daveward2005	Davy	50000	5000000						3	0.207
2020-08-01T22:38:12	GAN	OSK-SCH03	50000	5000000						3	0.207
2020-08-10T10:28:27	GAN	KL-SCH02	50000	5000000						3	0.207
2020-08-19T17:10:30	daveward2005	Dave2	50000	5000000						7	0.483
2020-09-09T12:36:49	mnd9	75204b	50000	5000000						3	0.207
2020-09-22T07:10:26	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.483
2020-10-19T21:28:11	Albrecht Heeffer	Ryzen52	50000	5000000						7	0.483
2020-11-23T07:55:30	RIHATEC	i7-3770K	50000	5000000						7	0.483
2020-12-16T14:59:51	Peredron	Peredron2	50000	5000000						1	0.069
2021-01-04T19:22:58	Zenzoma	AMD3970X	50000	5000000						7	0.483
2021-01-08T18:14:42	Aldo_Grid	Reno	50000	5000000						3	0.207
2021-02-12T10:30:46	TJAOI	Manual testing	50000	5000000						68	4.689

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	A2A90548EC1073AD	0.098
2015-07-01T17:35:00	MadPoo	Manual testing	A2A90548EC1073AD	0.098

PRP results:
No PRP results for M1803563

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 = 3000000, B2 = 393000000 (P-1 stage 2)

B1 = 1803563, B2 = 180356300 (P-1 stage 2)

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

B1 = 3000000 (P-1 stage 1)

B1 = 2780000 (P-1 stage 1)

B1 = 1803563 (P-1 stage 1)

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

B1 = 171174 (P-1 stage 1)

B1 = 135587 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

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

B1 = 25000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-07-12T19:37:07+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