M1800593 Mersenne number exponent details

is 2 ^1800593 - 1

has 542033 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	33.1029	69.1176%	3000000	393000000	1.9074	9.2800%	35.0103	71.9835%	2.8659%
PrimeNet	2⁵⁷	0.0107	63.1579%	8000	150000	0.0012	2.8703%	0.0119	64.2154%	1.0575%
GPU72	2⁶¹	0.1706	65.5738%	9000	130000	0.0012	1.5545%	0.1718	66.1089%	0.5351%
Difference	+7	+32.9323	+3.5439%	+2991000	+392870000	+1.9062	+7.7255%	+34.8385	+5.8746%	+5.8746%

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%
2011-02-09T16:51:00	Carsten Kossendey	leela	100000	1650000		-		-	-	0.015	-	-	2.196%
2014-05-12T10:21:00	Jocelyn Larouche	Manual testing	135646	135646		-		-	-	0.011	-	-	0.924%
2014-09-20T22:31:00	Jocelyn Larouche	Manual testing	171292	171292		-		-	-	0.013	-	-	1.051%
2015-04-27T12:41:00	mikr	MSI	2780000	91760000		-		-	-	0.600	-	-	7.477%
2018-09-18T11:52:42	Jocelyn Larouche	low 4M	1800593	180059300	12	-		-	-	0.906	-	-	7.965%
2021-07-11T12:55:28	Dylan Delgado	laptop-ryzen73700	3000000	393000000		-		-	-	1.907	-	-	9.280%

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	-	-
2010-04-10T15:57:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.085	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.171	-	-
2011-01-21T16:10:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.886	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.545	-	-
2015-04-19T23:04:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.090	-	-
2015-04-19T23:04:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.075	-	-
2015-08-30T20:42:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.150	-	-
2018-06-11T13:42:36	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.300	-	-
2019-07-24T10:13:50	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.60	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.441 GHz-days
Estimated T-Level:	24.768

Digits	B1	Curves	Complete	FacMiss
20	11000	267 / 100	2.670	6.833%
25	50000	267 / 280	0.954	38.471%

New Calculation Method

Total ECM effort:	18.441 GHz-days
Estimated T-Level:	24.768

Digits	B1	Complete	FacMiss
20	11000	10.278	0.003%
25	50000	0.952	38.605%
30	250000	0.060	94.168%
35	1000000	0.003	99.719%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		266	18.34
74000	7400000		1	0.102

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-09-09T05:58:00	Scott Kurowski	UW1	50000	5000000						3	0.207
2009-07-13T21:53:00	SubPrime	mysql0	50000	5000000						3	0.207
2010-11-22T04:14:00	unconnected	X3220--xp	50000	5000000						3	0.207
2012-03-23T14:26:00	OS1	L3	50000	5000000						3	0.207
2013-07-08T05:19:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-03-22T05:13:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-06-27T21:54:00	mikr	MSI	50000	5000000						12	0.827
2016-05-17T08:00:40	Bruce	DESK3	50000	5000000						3	0.207
2016-08-16T16:41:57	Bruce	DESK3	50000	5000000						3	0.207
2016-10-24T01:22:41	Bruce	DESK3	50000	5000000						3	0.207
2016-12-27T15:31:36	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-04-20T02:25:16	ANONYMOUS	Worker	50000	5000000						3	0.207
2017-11-13T06:58:07	Bruce	DESK3	50000	5000000						3	0.207
2018-01-20T19:29:13	Bruce	DESK3	50000	5000000						3	0.207
2019-11-19T13:07:03	mnd9	50869	50000	5000000						3	0.207
2019-11-20T22:14:54	DevilDawg93	Old_gaming_comp	50000	5000000						3	0.207
2019-11-23T21:03:38	mnd9	dlounge	50000	5000000						3	0.207
2019-11-25T16:34:21	J.R. Allen	lapdell	50000	5000000						3	0.207
2019-11-28T07:00:37	Nesowa	6700T	50000	5000000						3	0.207
2019-12-05T19:23:25	LordJulius	BlackboxNouveau	50000	5000000						3	0.207
2019-12-06T15:56:58	nokno	leo235	50000	5000000						3	0.207
2019-12-10T07:49:26	daveward2005	Davy	50000	5000000						3	0.207
2019-12-14T22:30:44	J.R. Allen	lapacer	50000	5000000						3	0.207
2019-12-20T02:42:29	J.R. Allen	lapacer	50000	5000000						3	0.207
2019-12-27T09:52:12	mnd9	touchdown	50000	5000000						3	0.207
2019-12-31T09:15:16	J.R. Allen	lapacer	50000	5000000						3	0.207
2020-01-11T09:58:29	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.207
2020-01-13T23:01:37	Nesowa	entropy_generator_2	50000	5000000						3	0.207
2020-01-20T11:30:57	mnd9	75201	50000	5000000						3	0.207
2020-01-26T02:28:53	Keysarecool	HPLaptop	50000	5000000						3	0.207
2020-02-04T04:45:35	Brett Walker	brain	50000	5000000						3	0.207
2020-02-11T22:13:03	IanGlencross	glenx24	50000	5000000						3	0.207
2020-02-18T20:16:20	EricP	Cannonfodder	50000	5000000						3	0.207
2020-03-04T00:14:51	EricP	Cannonfodder	50000	5000000						3	0.207
2020-03-10T11:09:05	EricP	Cannonfodder	50000	5000000						3	0.207
2020-03-18T02:02:43	EricP	Cannonfodder	50000	5000000						3	0.207
2020-03-19T01:53:52	SXS2297	M-Laptop	50000	5000000						3	0.207
2020-03-29T06:43:32	nranks	wlaptop	50000	5000000						3	0.207
2020-04-10T02:21:59	EricP	Cannonfodder	50000	5000000						3	0.207
2020-04-22T21:44:08	nordi	sweet16	50000	5000000						3	0.207
2020-04-30T13:10:13	mnd9	25836b	50000	5000000						3	0.207
2020-05-11T14:51:34	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2020-05-26T15:14:10	Yxinity	Olga	50000	5000000						3	0.207
2020-06-14T04:12:21	J.R. Allen	lapacer-kubuntu	50000	5000000						3	0.207
2020-06-28T07:49:44	GAN	PG-HP	50000	5000000						3	0.207
2020-07-05T20:43:17	Oliver Kruse	Krusen-NAS	50000	5000000						3	0.207
2020-07-11T22:15:41	GAN	LMS-15	50000	5000000						3	0.207
2020-07-17T18:21:20	GAN	LMS-06	50000	5000000						3	0.207
2020-07-23T23:18:34	GAN	LMS-06	50000	5000000						3	0.207
2020-08-03T13:43:28	Massimo Cappelli (ik5pwa)	maxwinxp_1	50000	5000000						3	0.207
2020-08-08T03:52:04	mnd9	libproj	50000	5000000						3	0.207
2020-08-16T01:09:10	lycorn	colab_ES	50000	5000000						3	0.207
2020-09-12T10:32:51	J.R. Allen	lapacer	50000	5000000						7	0.483
2020-10-13T02:47:51	mnd9	221Lb	50000	5000000						7	0.483
2020-11-10T13:47:29	ManuelJC	i9-9940x	50000	5000000						7	0.483
2020-12-15T12:56:31	Peredron	Peredron2	50000	5000000						1	0.069
2020-12-19T12:14:59	Peredron	Peredron2	74000	7400000						1	0.102
2020-12-28T02:18:25	lycorn	colab_A_1	50000	5000000						7	0.483
2021-01-29T12:54:25	TJAOI	Manual testing	50000	5000000						72	4.964

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-12-06T00:00:00	ANONYMOUS	v4_computers	055B21503D3391ED	0.098
2015-06-27T00:56:00	MadPoo	Manual testing	055B21503D3391ED	0.098

PRP results:
No PRP results for M1800593

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 = 1800593, B2 = 180059300 (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 = 1800593 (P-1 stage 1)

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

B1 = 171292 (P-1 stage 1)

B1 = 135646 (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: 2021-07-11T12:55:28+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