M3845159 Mersenne number exponent details

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M3845159

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is 2 ^3845159 - 1

has 1157509 decimal digits

takes 0.404 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	AC6EE9D9C8AE9FF4	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	2⁷⁰	62.1432	68.5714%	15000000	750000000	8.3828	10.4064%	70.5260	71.8420%	3.2706%
PrimeNet	2⁶⁰	0.0399	63.3333%	17000	340000	0.0053	3.1943%	0.0452	64.5046%	1.1713%
GPU72	2⁶⁴	0.9257	65.6250%	24000	500000	0.0076	2.2278%	0.9333	66.3908%	0.7658%
Difference	+6	+61.2176	+2.9464%	+14976000	+749500000	+8.3752	+8.1786%	+69.5928	+5.4512%	+5.4512%

Known prime factors:
No known factors for M3845159

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-27T16:22:00	Carsten Kossendey	leela	20000	270000		-		-	-	0.005	-	-	0.738%
2011-10-25T11:29:00	Squeeky_Squirrel	T7500_2200	70000	1137500		-		-	-	0.020	-	-	1.624%
2014-10-18T13:18:00	Jocelyn Larouche	Manual testing	86692	86692		-		-	-	0.013	-	-	0.612%
2016-02-05T12:18:36	Jocelyn Larouche	Manual testing	239500	2395000	6	-		-	-	0.054	-	-	2.488%
2020-11-23T02:00:07	Carlos Pinho	HomeComputer	173000	4675000	6	-		-	-	0.064	-	-	2.761%
2021-02-08T02:50:19	axn	Manual testing	15000000	750000000		-		-	-	8.383	-	-	10.406%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.040	-	-
2009-02-26T16:01:00	S485122	USB-A	2⁶⁰	2⁶¹		-	-	0.040	-	-
2011-03-05T09:56:00	markr	ut	2⁶¹	2⁶²		-	-	0.080	-	-
2012-02-20T20:14:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.415	-	-
2016-02-23T16:29:41	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.255	-	-
2015-01-18T21:00:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.511	-	-
2015-01-18T21:00:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	0.972	-	-
2016-02-28T22:17:22	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	1.943	-	-
2016-11-21T15:09:27	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	3.887	-	-
2018-08-13T14:25:17	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	7.774	-	-
2020-10-26T10:35:17	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	15.55	-	-
2022-05-16T01:04:52	DRobinsonPE	Manual testing	2⁶⁹	2⁷⁰		-	-	31.09	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.124 GHz-days
Estimated T-Level:	1.650

Digits	B1	Curves	Complete	FacMiss
20	11000	33 / 100	0.330	71.773%
25	50000	33 / 280	0.118	88.864%

New Calculation Method

Total ECM effort:	5.124 GHz-days
Estimated T-Level:	1.650

Digits	B1	Complete	FacMiss
20	11000	1.292	27.481%
25	50000	0.119	88.741%
30	250000	0.008	99.248%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		26	3.906
50000	6700000		7	1.218

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-09-25T23:10:00	Smurgs	Praca	50000	5000000						3	0.451
2012-09-04T20:29:00	oodaira	Linux01	50000	5000000						3	0.451
2016-01-27T08:43:11	driveByUpgrades	Build_4	50000	5000000						3	0.451
2017-09-18T12:14:06	bayanne	iMac	50000	5000000						3	0.451
2021-10-27T08:33:59	tottenhoff	Garage-Band-003	50000	5000000						7	1.052
2022-02-09T23:24:21	Kamil Mudrunka	LinuxServer	50000	5000000						7	1.052
2022-05-18T12:40:37	mikr	S067	50000	6700000						7	1.218

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-09-14T00:00:00	ANONYMOUS	v4_computers	AC6EE9D9C8AE9FF4	0.404

PRP results:
No PRP results for M3845159

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 = 15000000, B2 = 750000000 (P-1 stage 2)

B1 = 15000000 (P-1 stage 1)

B1 = 173000, B2 = 4675000 (P-1 stage 2)

B1 = 239500, B2 = 2395000 (P-1 stage 2)

B1 = 239500 (P-1 stage 1)

B1 = 173000 (P-1 stage 1)

B1 = 70000, B2 = 1137500 (P-1 stage 2)

B1 = 86692 (P-1 stage 1)

B1 = 70000 (P-1 stage 1)

B1 = 20000, B2 = 270000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-05-18T12:40:37+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