M1141661 Mersenne number exponent details

is 2 ^1141661 - 1

has 343675 decimal digits

takes 0.034 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	2⁶⁷	26.0269	68.6567%	500000	10000000	0.0437	4.4228%	26.0707	70.0430%	1.3863%
PrimeNet	2⁵⁶	0.0084	62.5000%	5000	70000	0.0004	2.1596%	0.0088	63.3099%	0.8099%
GPU72	2⁶⁰	0.1345	65.0000%	5000	26000	0.0003	0.7695%	0.1348	65.2693%	0.2693%
Difference	+7	+25.8924	+3.6567%	+495000	+9974000	+0.0435	+3.6533%	+25.9359	+4.7737%	+4.7737%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1141661	874321732912365844268688821249	30	99.464	382916528160445983645184 2⁹ × 6737 × 50581 × 1131629 × 1939439	2015-03-30	1131629	1939439	1.651e+11	0.0505	0.0990

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-05-05T00:00:00	Jocelyn Larouche	v4_computers	1000	1000		-		-	-	4.29764e-5	-	-	0.005%
2002-05-05T00:00:00	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	8.59528e-5	-	-	0.018%
2002-05-05T00:00:00	Jocelyn Larouche	v4_computers	3000	3000		-		-	-	0.000	-	-	0.033%
2002-05-05T00:00:00	Jocelyn Larouche	v4_computers	4000	4000		-		-	-	0.000	-	-	0.049%
2002-05-11T00:00:00	Jocelyn Larouche	v4_computers	5000	5000		-		-	-	0.000	-	-	0.064%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.004	-	-	1.740%
2012-01-31T03:45:00	markr	tiny	500000	10000000		-		-	-	0.044	-	-	4.423%
2015-03-30T07:26:00	mikr	MSI	5000000	5000000			874321732912365844268688821249	30	99.464	0.215	0.068	0.430	4.239%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2003-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.034	-	-
2022-03-07T17:30:54	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.101	-	-
2009-02-18T04:52:00	Sturle Sunde	klughardt.ifi	2⁶⁰	2⁶¹		-	-	0.135	-	-
2012-08-27T14:26:00	Axelsson	Manual testing	2⁶¹	2⁶²		-	-	0.269	-	-
2012-10-21T10:08:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.860	-	-
2014-12-26T00:16:00	Matthias Wurtinger	Manual testing	2⁶³	2⁶⁴		-	-	1.720	-	-
2015-01-13T09:15:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	3.273	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.726 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	325 / 100	3.250	3.815%
25	50000	325 / 280	1.161	31.261%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	17.726 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.731	0.000%
25	50000	1.349	25.941%
30	250000	0.108	89.793%
35	1000000	0.007	99.295%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	9.94
250000	25000000		44	7.784

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-07T15:38:00	Team_Bundu	bundu1	50000	5000000						1	0.035
2008-06-01T11:57:00	Sturle Sunde	v1	50000	5000000						3	0.106
2008-12-27T20:26:00	Sturle Sunde	v21	50000	5000000						3	0.106
2009-06-01T15:52:00	Lukasz Wrobel	WORKER-1	50000	5000000						3	0.106
2009-09-09T18:31:00	Lupo	yorick	50000	5000000						3	0.106
2009-12-29T16:57:00	sannerud.com	snap1	50000	5000000						3	0.106
2010-08-20T08:10:00	unconnected	xp-lm	50000	5000000						3	0.106
2011-05-13T12:30:00	James Hintz	nana	50000	5000000						3	0.106
2011-11-07T23:47:00	Lukasz Wrobel	4_core_L	50000	5000000						3	0.106
2012-07-15T15:25:00	soldake		50000	5000000						3	0.106
2012-12-14T08:57:00	ANONYMOUS		50000	5000000						3	0.106
2013-09-03T07:24:00	OS1	Tina	50000	5000000						3	0.106
2014-01-23T05:17:00	OS1	Tina	50000	5000000						3	0.106
2014-03-08T08:26:00	Bruce	snowflake	50000	5000000						3	0.106
2014-06-30T11:02:00	OS1	Tina	50000	5000000						3	0.106
2015-02-13T14:45:00	OS1	Tina	50000	5000000						3	0.106
2017-08-04T10:36:28	TJAOI	Manual testing	50000	5000000						94	3.326
2018-05-11T11:14:05	TJAOI	Manual testing	50000	5000000						141	4.989
2020-10-23T07:50:14	TJAOI	Manual testing	250000	25000000						44	7.784

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-06-29T00:00:00	ANONYMOUS	v4_computers	28BC1FDAA0A070F4	0.034

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-29T06:16:37

Oliver Kruse

GTX-3

874321732912365844268688821249

9C6622F1253218__

2017-10-17T02:57:46

Oliver Kruse

Threadripper

874321732912365844268688821249

9C6622F1253218__

2018-01-05T23:46:22

ATH

ec2-1xf

874321732912365844268688821249

9C6622F1253218__

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 = 5000000 (P-1 stage 1)

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 50000, B2 = 1000000 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

B1 = 5000 (P-1 stage 1)

B1 = 4000 (P-1 stage 1)

B1 = 3000 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

B1 = 1000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-07T17:30:54+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