M1466099 Mersenne number exponent details

is 2 ^1466099 - 1

has 441340 decimal digits

takes 0.056 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	20.2673	68.6567%	2500000	62500000	0.3194	7.4152%	20.5867	70.9809%	2.3242%
PrimeNet	2⁵⁶	0.0065	62.5000%	7000	120000	0.0007	2.9103%	0.0073	63.5914%	1.0914%
GPU72	2⁶⁰	0.1048	65.0000%	6500	100000	0.0006	1.4463%	0.1054	65.5062%	0.5062%
Difference	+7	+20.1626	+3.6567%	+2493500	+62400000	+0.3187	+5.9689%	+20.4813	+5.4747%	+5.4747%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1466099	69005752208785961400572570743	29	95.801	23533796902114373381529 3 × 11 × 55763 × 12788862878075651	2016-09-16	55763	12788862878075651	8.327e+9	38,574,585	72,046,583

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-29T00:00:00	Team Prime Rib	v4_computers	20000	265000		-		-	-	0.002	-	-	0.956%
2009-04-25T10:19:00	axn	Manual testing	800000	16000000		-		-	-	0.090	-	-	5.263%
2015-05-23T19:25:00	alpertron	Manual testing	2000000	60000000		-		-	-	0.286	-	-	7.237%
2016-08-24T07:27:36	Bruno Victal	5820K-factoring	2500000	62500000	12	-		-	-	0.319	-	-	7.415%
2016-08-27T10:54:02	Bruno Victal	Manual testing	2500000	62500000	12	-		-	-	0.319	-	-	7.415%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-10-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.026	-	-
2016-02-23T16:28:33	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.079	-	-
2010-05-07T14:50:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.105	-	-
2016-02-23T16:28:33	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.210	-	-
2011-04-05T20:59:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.089	-	-
2016-02-23T16:28:33	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.670	-	-
2015-04-01T00:53:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.339	-	-
2015-04-01T00:53:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.549	-	-
2015-09-20T20:59:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	5.097	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.584 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	301 / 100	3.010	4.855%
25	50000	301 / 280	1.075	34.064%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	25.584 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	12.263	0.000%
25	50000	1.357	25.749%
30	250000	0.113	89.315%
35	1000000	0.008	99.236%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		248	11.76
50000	5000000	69005752208785961400572570743	3	0.142
250000	35000000		50	13.68

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-01-11T11:29:00	Team_Bundu	bundu3	50000	5000000						1	0.047
2008-12-20T02:36:00	dragon325	x-liberty	50000	5000000						3	0.142
2009-10-05T12:40:00	Piepen	T41-2000	50000	5000000						3	0.142
2010-05-01T14:56:00	SubPrime	abd0	50000	5000000						3	0.142
2011-08-06T13:32:00	S36049	Wolle5	50000	5000000						3	0.142
2012-12-10T04:47:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.142
2013-09-19T13:24:00	Bruce	apandya-DESK11	50000	5000000						3	0.142
2014-03-01T11:00:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2014-11-30T11:37:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2015-05-27T09:55:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2015-11-29T17:58:39	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2016-02-26T15:35:30	Bruce	DESK3	50000	5000000						3	0.142
2016-04-03T16:58:38	Bruce	DESK3	50000	5000000						3	0.142
2016-05-06T20:45:05	Bruce	DESK3	50000	5000000						3	0.142
2016-07-24T23:36:02	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2016-09-16T04:30:26	Chang Chia-Tche	exbpc13	50000	5000000	69005752208785961400572570743	95.801	3	2		3	0.142
2019-03-22T12:44:02	TJAOI	Manual testing	50000	5000000						205	9.72
2021-12-03T11:50:28	TJAOI	Manual testing	250000	35000000						50	13.68

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-05-09T00:00:00	ANONYMOUS	v4_computers	0FBBB80B7BF1E102	0.056
2015-06-27T00:56:00	MadPoo	Manual testing	0FBBB80B7BF1E102	0.056

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T04:03:15

Oliver Kruse

GTX-0

69005752208785961400572570743

8141A301FA7B38__

2017-10-28T00:37:37

kkmrkkblmbrbk

c4.xlarge

69005752208785961400572570743

8141A301FA7B38__

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 = 2500000, B2 = 62500000 (P-1 stage 2)

B1 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 2000000 (P-1 stage 1)

B1 = 800000, B2 = 16000000 (P-1 stage 2)

B1 = 800000 (P-1 stage 1)

B1 = 20000, B2 = 265000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-12-03T11:50:28+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