M2887711 Mersenne number exponent details

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M2887711

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>>>

is 2 ^2887711 - 1

has 869288 decimal digits

takes 0.223 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	34C871D23A505899	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	20.6409	67.6471%	597196	5971960	0.0997	4.1067%	20.7405	68.9757%	1.3286%
PrimeNet	2⁵⁹	0.0266	62.7119%	13000	240000	0.0028	2.9999%	0.0294	63.8305%	1.1186%
GPU72	2⁶³	0.5527	65.0794%	16000	300000	0.0035	1.9075%	0.5562	65.7455%	0.6661%
Difference	+5	+20.0882	+2.5677%	+581196	+5671960	+0.0962	+2.1992%	+20.1843	+3.2302%	+3.2302%

Known prime factors (1 factor, 80.7 bits, 0.00279485% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2887711	1973642563147691142324313	25	80.707	341731316455782996 2² × 3 × 19 × 2702057 × 554696501	2019-06-21	2702057	554696501	139,418	3.6707	6.3214

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-12-02T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.245%
2016-10-07T05:48:04	Jocelyn Larouche	low 4M	120000	3600000	6	-		-	-	0.035	-	-	2.930%
2016-10-07T05:48:05	Jocelyn Larouche	low 4M	120000	4320000		-		-	-	0.039	-	-	3.047%
2016-12-16T17:35:05	Jocelyn Larouche	low 4M	172800	172800		-		-	-	0.019	-	-	1.146%
2016-12-24T02:28:29	Jocelyn Larouche	low 4M	207360	207360		-		-	-	0.023	-	-	1.259%
2017-02-25T21:08:04	Jocelyn Larouche	low 4M	298598	2985980	6	-		-	-	0.050	-	-	3.237%
2017-10-13T14:03:46	Jocelyn Larouche	low 4M	597196	5971960	6	-		-	-	0.100	-	-	4.107%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:24	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.053	-	-
2009-02-12T23:51:00	Sturle Sunde	korsmo.ifi	2⁶⁰	2⁶¹		-	-	0.053	-	-
2012-01-20T20:16:00	Grant McCracken	home	2⁶¹	2⁶²		-	-	0.106	-	-
2013-01-10T10:24:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.340	-	-
2015-04-21T09:21:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.680	-	-
2015-04-21T09:21:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.294	-	-
2015-11-27T14:25:32	omylist	Manual testing	2⁶⁵	2⁶⁶		-	-	2.588	-	-
2017-11-13T23:00:10	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.176	-	-
2019-01-11T03:01:55	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.35	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.675 GHz-days
Estimated T-Level:	0.800

Digits	B1	Curves	Complete	FacMiss
20	11000	16 / 100	0.160	85.146%
25	50000	16 / 280	0.057	94.436%

New Calculation Method

Total ECM effort:	1.675 GHz-days
Estimated T-Level:	0.800

Digits	B1	Complete	FacMiss
20	11000	0.615	54.043%
25	50000	0.057	94.465%
30	250000	0.004	99.641%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		15	1.571
50000	5000000	1973642563147691142324313	1	0.105

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-23T04:13:00	Apple Pie	jcustom	50000	5000000						3	0.314
2011-02-22T09:41:00	Smurgs	Praca	50000	5000000						3	0.314
2013-05-07T16:29:00	Broomfield Designers.com	a1	50000	5000000						3	0.314
2015-12-17T18:25:36	Bruce	Desk7	50000	5000000						3	0.314
2016-09-13T13:33:39	Bruce	test	50000	5000000						3	0.314
2019-06-21T04:55:14	Corey	Computer	50000	5000000	1973642563147691142324313	80.707	1	2		1	0.105

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-01-21T00:00:00	ANONYMOUS	v4_computers	34C871D23A505899	0.223
1999-06-06T00:00:00	ANONYMOUS	v4_computers	34C871D23A505899	0.223
1999-07-27T00:00:00	ANONYMOUS	v4_computers	34C871D23A505899	0.223
2018-09-26T23:23:11	kkmrkkblmbrbk	old	34C871D23A505899	0.223

PRP results:

date

userid

compid

cofactors

res64

PRP

2019-06-21T18:22:32

Niels_Mache_Nextcloud

SuperDry-X

1973642563147691142324313

D02AC63DB0F92393

2019-06-22T15:32:13

kkmrkkblmbrbk

c5.large

1973642563147691142324313

D02AC63DB0F92393

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 = 597196, B2 = 5971960 (P-1 stage 2)

B1 = 597196 (P-1 stage 1)

B1 = 298598, B2 = 2985980 (P-1 stage 2)

B1 = 120000, B2 = 4320000 (P-1 stage 2)

B1 = 120000, B2 = 3600000 (P-1 stage 2)

B1 = 298598 (P-1 stage 1)

B1 = 207360 (P-1 stage 1)

B1 = 172800 (P-1 stage 1)

B1 = 120000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-06-22T15:32:13+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