M3594343 Mersenne number exponent details

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M3594343

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is 2 ^3594343 - 1

has 1082006 decimal digits

takes 0.378 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	3075F6FE828E1629	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	2⁷²	266.0663	69.4444%	3000000	90000000	1.1787	5.7617%	267.2451	71.2050%	1.7605%
PrimeNet	2⁶⁰	0.0427	63.3333%	15000	300000	0.0046	2.9743%	0.0474	64.4239%	1.0906%
GPU72	2⁶⁴	0.9903	65.6250%	20000	400000	0.0062	1.9799%	0.9965	66.3056%	0.6806%
Difference	+8	+265.0761	+3.8194%	+2980000	+89600000	+1.1725	+3.7818%	+266.2486	+4.8994%	+4.8994%

Known prime factors:
No known factors for M3594343

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-10T14:36:00	Carsten Kossendey	leela	20000	245000		-		-	-	0.005	-	-	0.516%
2012-01-01T08:20:00	Squeeky_Squirrel	P4_2600	90000	1620000		-		-	-	0.026	-	-	1.451%
2016-06-03T02:04:16	Squeeky_Squirrel	P4_2600	225000	6581250	12	-		-	-	0.087	-	-	2.475%
2016-06-03T02:33:23	Jocelyn Larouche	Manual testing	108000	3240000	6	-		-	-	0.042	-	-	1.801%
2020-02-07T20:13:47	BigBrother	Winston	3000000	90000000	12	-		-	-	1.179	-	-	5.762%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-11-18T11:57:35	ArtyomP	axioo	50000	2500000	2	7			-	-	0.032
2021-11-18T12:17:17	ArtyomP	axioo	50000	2500000	6	5			-	-	0.032

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:34	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.043	-	-
2009-03-14T07:23:00	S485122	USB-A	2⁶⁰	2⁶¹		-	-	0.043	-	-
2011-06-10T06:27:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.085	-	-
2012-07-02T04:05:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.444	-	-
2016-02-23T16:29:34	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.273	-	-
2015-02-07T18:28:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.546	-	-
2015-02-07T18:28:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.040	-	-
2016-02-24T09:33:31	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.079	-	-
2017-01-21T23:13:27	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.158	-	-
2018-07-09T09:05:33	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	8.316	-	-
2020-12-18T04:31:59	axn	Manual testing	2⁶⁸	2⁶⁹		-	-	16.63	-	-
2021-03-18T21:01:42	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	33.26	-	-
2021-03-18T21:01:42	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	66.53	-	-
2021-03-20T23:56:56	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	133.1	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.733 GHz-days
Estimated T-Level:	2.700

Digits	B1	Curves	Complete	FacMiss
20	11000	54 / 100	0.540	58.117%
25	50000	54 / 280	0.193	82.432%

New Calculation Method

Total ECM effort:	8.733 GHz-days
Estimated T-Level:	2.700

Digits	B1	Complete	FacMiss
20	11000	2.167	11.456%
25	50000	0.201	81.787%
30	250000	0.013	98.734%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	26	3.853
50000	6750000	7	1.203
50000	6800000	7	1.208
50000	7000000	7	1.227
50000	7150000	7	1.241

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-08-07T18:02:00	willreid	jing	50000	5000000						3	0.445
2012-04-27T04:30:00	ProfessorFeistyFists	Fistinator	50000	5000000						3	0.445
2015-07-29T14:01:00	driveByUpgrades	Build_4	50000	5000000						3	0.445
2017-04-14T11:20:35	Lelikoid	QH	50000	5000000						3	0.445
2021-05-30T08:24:25	Dylan Delgado	colab	50000	6800000						7	1.208
2021-07-10T15:54:36	kutens	terra	50000	6750000						7	1.203
2021-09-10T10:09:06	Brett Walker	brain	50000	5000000						7	1.037
2022-01-05T11:11:50	MarkS	desktop-i7	50000	5000000						7	1.037
2022-04-20T02:44:04	voidf	ATRI	50000	7000000						7	1.227
2022-07-30T23:54:00	J.R. Allen	lapacer	50000	7150000						7	1.241

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-08-07T00:00:00	ANONYMOUS	v4_computers	3075F6FE828E1629	0.378

PRP results:
No PRP results for M3594343

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 = 90000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 225000, B2 = 6581250 (P-1 stage 2)

B1 = 108000, B2 = 3240000 (P-1 stage 2)

B1 = 225000 (P-1 stage 1)

B1 = 90000, B2 = 1620000 (P-1 stage 2)

B1 = 108000 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 20000, B2 = 245000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-07-30T23:54:00+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