M1900429 Mersenne number exponent details

is 2 ^1900429 - 1

has 572087 decimal digits

takes 0.103 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	15.6354	68.6567%	8000000	320000000	1.9665	10.4631%	17.6018	71.9362%	3.2795%
PrimeNet	2⁵⁷	0.0101	63.1579%	9000	160000	0.0014	3.0381%	0.0115	64.2772%	1.1193%
GPU72	2⁶¹	0.1616	65.5738%	10000	160000	0.0014	1.7274%	0.1631	66.1685%	0.5947%
Difference	+6	+15.4737	+3.0829%	+7990000	+319840000	+1.9650	+8.7357%	+17.4388	+5.7677%	+5.7677%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1900429	64051240192957784958178873	26	85.727	16851784568894124684 2² × 3 × 19 × 277 × 104243 × 2559672373	2018-08-27	104243	2559672373	7,410,943	10.978	20.489

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-08-03T00:00:00	Jocelyn Larouche	v4_computers	25000	343750		-		-	-	0.003	-	-	1.169%
2011-02-07T12:47:00	Carsten Kossendey	leela	105000	1785000		-		-	-	0.015	-	-	2.568%
2011-06-08T04:13:00	kurly	kk	1000000	30000000		-		-	-	0.203	-	-	6.218%
2017-11-20T13:39:51	mikr	S064	8000000	320000000	12	-		-	-	1.966	-	-	10.463%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2¹	2⁵⁶		-	-	0.005	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁶	2⁵⁷		-	-	0.005	-	-
2001-12-22T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁷	2⁵⁸		-	-	0.010	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁸	2⁵⁹		-	-	0.020	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁹	2⁶⁰		-	-	0.040	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁶⁰	2⁶¹		-	-	0.081	-	-
2009-05-23T21:55:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.081	-	-
2011-01-07T18:22:00	GrunwalderGIMP	GWPrime02	2⁶¹	2⁶²		-	-	0.162	-	-
2011-01-07T21:52:00	GrunwalderGIMP	GWPrime02	2⁶²	2⁶³		-	-	0.517	-	-
2015-05-19T06:11:00	omylist	Manual testing	2⁶³	2⁶⁴		-	-	1.033	-	-
2015-05-19T06:11:00	omylist	Manual testing	2⁶⁴	2⁶⁵		-	-	1.966	-	-
2015-08-30T20:42:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.932	-	-
2017-03-02T09:39:39	Smok_bmv	Manual testing	2⁶⁶	2⁶⁷		-	-	7.864	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.252 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:	19.252 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.557	0.019%
25	50000	0.775	46.063%
30	250000	0.048	95.319%
35	1000000	0.002	99.780%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		42	2.913
50000	5000000	64051240192957784958178873	2	0.139
50000	6600000		207	16.20

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-04T08:40:00	Jorge Flora	PC_PN03	50000	5000000						3	0.208
2009-07-27T08:17:00	James Hintz	20_071509	50000	5000000						3	0.208
2010-11-24T02:59:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.208
2012-12-14T11:30:00	sannerud.com	Jens2010	50000	5000000						3	0.208
2013-11-08T20:10:00	Sara	Sara	50000	5000000						3	0.208
2014-07-21T19:52:00	Sara	Sara	50000	5000000						3	0.208
2015-05-18T18:32:00	Sara	Sara	50000	5000000						3	0.208
2015-12-14T01:45:19	John Burroughs	JohnsTardis	50000	5000000						3	0.208
2016-06-10T09:59:31	lettp	Home	50000	5000000						3	0.208
2016-08-16T10:14:20	Bruce	test	50000	5000000						3	0.208
2017-02-02T03:13:59	Bruce	Desk6	50000	5000000						3	0.208
2017-07-12T12:00:37	Bruce	Desk6	50000	5000000						3	0.208
2017-11-29T23:01:36	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.208
2018-03-29T11:38:27	Bruce	Desk6	50000	5000000						3	0.208
2018-08-27T10:51:11	Bruce	Desk6	50000	5000000	64051240192957784958178873	85.727	2	2		2	0.139
2021-12-17T10:36:27	TJAOI	Manual testing	50000	6600000						207	16.20

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-29T00:00:00	ANONYMOUS	v4_computers	B25C007A206028E4	0.103
2015-07-14T15:04:00	MadPoo	Manual testing	B25C007A206028E4	0.103

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-08-28T12:13:24

_p95holder_

b_PRPt11_TFL7_E-

64051240192957784958178873

ECBC1790F8EB0A__

2018-08-31T12:56:27

ANONYMOUS

dory

64051240192957784958178873

ECBC1790F8EB0A__

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 = 8000000, B2 = 320000000 (P-1 stage 2)

B1 = 8000000 (P-1 stage 1)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 105000, B2 = 1785000 (P-1 stage 2)

B1 = 105000 (P-1 stage 1)

B1 = 25000, B2 = 343750 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-12-17T10:36:27+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