M3174401 Mersenne number exponent details

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M3174401

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is 2 ^3174401 - 1

has 955590 decimal digits

takes 0.270 GHz-days to do one PRP test

Last-known PrimeNet details:
0 L-L tests remaining

	Residue	Status
L-L	1A5F743394DAC07F	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	18.7767	67.6471%	3000000	120000000	1.1569	8.2951%	19.9336	75.9421%	12.6088%
PrimeNet	2⁶⁰	0.0484	63.3333%	13000	240000	0.0031	2.6536%	0.0515	65.9869%	2.6536%
GPU72	2⁶⁴	1.1213	65.6250%	15000	260000	0.0035	1.5823%	1.1248	67.2073%	1.5823%
Difference	+4	+17.6555	+2.0221%	+2985000	+119740000	+1.1534	+6.7127%	+18.8089	+8.7348%	+8.7348%

Known prime factors:
No known factors for M3,174,401

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-02-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.252%
2009-07-03T00:52:00	Carsten Kossendey	leela	15000	191250		-		-	-	0.003	-	-	0.781%
2011-09-11T05:22:00	Squeeky_Squirrel	T7500_2200	60000	960000		-		-	-	0.013	-	-	1.877%
2014-06-01T23:28:00	Jocelyn Larouche	Manual testing	80219	80219		-		-	-	0.010	-	-	0.753%
2014-09-29T22:04:00	Jocelyn Larouche	Manual testing	100438	100438		-		-	-	0.012	-	-	0.862%
2015-09-27T23:02:42	Squeeky_Squirrel	P4_2600	155000	3913750		-		-	-	0.044	-	-	3.168%
2016-10-03T01:22:50	Jocelyn Larouche low 4M	Manual testing	233845	4696500	6	-		-	-	0.059	-	-	3.518%
2019-08-28T11:04:15	mikr	MSI	3000000	120000000	12	-		-	-	1.157	-	-	8.295%
2021-02-15T02:44:04	mognuts	Strand	166000	5224000	6	-		-	-	0.054	-	-	3.408%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-05-27T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁰		-	-	0.024	-	-
2009-04-09T16:14:00	S485122	USB-A	2⁶⁰	2⁶¹		-	-	0.048	-	-
2011-10-23T23:20:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.097	-	-
2013-01-03T08:45:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.309	-	-
2015-02-15T12:51:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.618	-	-
2015-02-15T12:51:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.177	-	-
2015-06-17T22:19:00	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	2.354	-	-
2017-04-25T10:21:54	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.708	-	-
2019-01-07T14:44:21	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	9.416	-	-

ECM factoring results:

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	22	2.580
50000	6350000	7	0.920
50000	6750000	7	0.949

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-05-05T05:35:00	Martti Järvi	Mardeni	50000	5000000						3	0.352
2011-08-16T08:01:00	sannerud.com	JimEmcLW7	50000	5000000						3	0.352
2014-03-31T17:35:00	Dougal	dougal	50000	5000000						3	0.352
2016-08-30T13:51:44	Bruce	agent86	50000	5000000						3	0.352
2018-03-20T09:48:14	Aare Vesi	h1	50000	5000000						3	0.352
2020-12-05T15:34:03	ziosante	ziosante-linux	50000	5000000						7	0.821
2021-01-06T01:29:25	lycorn	colab_DG_1	50000	6350000						7	0.920
2021-02-09T02:56:11	lycorn	colab_S_2	50000	6750000						7	0.949

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-12-30T00:00:00	vidmar	v4_computers	1A5F743394DAC07F	0.270

PRP results:
Exponent "3174401" not found

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 = 3000000, B2 = 120000000 (stage 2)

B1 = 3000000 (stage 1)

B1 = 233845, B2 = 4696500 (stage 2)

B1 = 166000, B2 = 5224000 (stage 2)

B1 = 155000, B2 = 3913750 (stage 2)

B1 = 233845 (stage 1)

B1 = 166000 (stage 1)

B1 = 155000 (stage 1)

B1 = 60000, B2 = 960000 (stage 2)

B1 = 100438 (stage 1)

B1 = 80219 (stage 1)

B1 = 60000 (stage 1)

B1 = 15000, B2 = 191250 (stage 2)

B1 = 15000 (stage 1)

B1 = 2048, B2 = 204800 (stage 2)

B1 = 2048 (stage 1)

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TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

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2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-02-15T02:44:04+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	<	123M	PrimeNet wavefront