M3152983 Mersenne number exponent details

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M3152983

<<<

>>>

is 2 ^3152983 - 1

has 949143 decimal digits

takes 0.268 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	-unknown-	-unknown-
PRP	3B4C9908CAB92B40	verified PRP

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	18.9043	67.6471%	3000000	100000000	1.0224	8.0613%	19.9267	70.2551%	2.6081%
PrimeNet	2⁶⁰	0.0487	63.3333%	13000	240000	0.0031	2.6503%	0.0518	64.3051%	0.9718%
GPU72	2⁶⁴	1.1289	65.6250%	15000	240000	0.0034	1.5445%	1.1322	66.1559%	0.5309%
Difference	+4	+17.7754	+2.0221%	+2985000	+99760000	+1.0191	+6.5168%	+18.7945	+4.0992%	+4.0992%

Known prime factors (1 factor, 88.1 bits, 0.00279324% 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
3152983	324991687675244468587976809	27	88.071	51537177281838257388 2² × 3² × 101 × 1217 × 11646788140199	2021-02-17	1217	11646788140199	33,772,651	78,310	146,262

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-02-07T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.251%
2009-07-03T21:40:00	Carsten Kossendey	leela	15000	183750		-		-	-	0.003	-	-	0.770%
2011-09-07T15:28:00	Squeeky_Squirrel	T7500_2200	55000	948750		-		-	-	0.013	-	-	1.831%
2013-09-05T00:59:00	Squeeky_Squirrel	P4_2600	110000	2502500		-		-	-	0.030	-	-	2.692%
2015-11-24T14:15:18	HBendtz	Manual testing	500000	12000000	12	-		-	-	0.139	-	-	4.709%
2019-05-09T07:40:13	mikr	MSI	3000000	100000000	12	-		-	-	1.022	-	-	8.061%
2022-02-12T19:37:10	Jocelyn Larouche	Manual testing	1000000	119912100		-		-	-	0.923	-	-	7.495%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-06-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.049	-	-
2009-04-10T09:21:00	S485122	USB-A	2⁶⁰	2⁶¹		-	-	0.049	-	-
2011-11-03T20:25:00	markr	Manual testing	2¹	2⁶²		-	-	0.195	-	-
2013-01-03T08:45:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.311	-	-
2015-02-11T09:10:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.623	-	-
2015-02-11T09:10:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.185	-	-
2015-06-17T09:59:00	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	2.370	-	-
2017-04-22T18:10:33	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.740	-	-
2019-02-04T14:28:18	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	9.480	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.983 GHz-days
Estimated T-Level:	1.700

Digits	B1	Curves	Complete	FacMiss
20	11000	34 / 100	0.340	71.055%
25	50000	34 / 280	0.121	88.546%

New Calculation Method

Total ECM effort:	3.983 GHz-days
Estimated T-Level:	1.700

Digits	B1	Complete	FacMiss
20	11000	1.097	33.395%
25	50000	0.099	90.563%
30	250000	0.006	99.391%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		29	3.397
50000	5000000	324991687675244468587976809	5	0.586

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-05-08T03:36:00	Smurgs	23-3-06	50000	5000000						3	0.351
2011-08-05T06:03:00	Andrew B	dell_xps_8100_i7_x86	50000	5000000						3	0.351
2014-03-02T20:36:00	S00030	mac399	50000	5000000						3	0.351
2016-08-27T05:34:04	Lelikoid	QH	50000	5000000						3	0.351
2018-03-06T14:46:35	Keldor	Pythagoras	50000	5000000						3	0.351
2021-02-17T05:01:52	Zenzoma	AM3700X_1	50000	5000000						7	0.820
2021-02-17T12:11:24	mnd9	l2lounge	50000	5000000						7	0.820
2021-02-17T20:33:34	mnd9	27016b	50000	5000000	324991687675244468587976809	88.071	5	2	7127158777378118	5	0.586

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-06-06T00:00:00	ANONYMOUS	v4_computers	70B220DFDB7657__	0.268

PRP results:

date

userid

compid

cofactors

res64

PRP

2021-02-19T01:41:27

ViliamF

324991687675244468587976809

3B4C9908CAB92B40

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 = 100000000 (P-1 stage 2)

B1 = 1000000, B2 = 119912100 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 500000, B2 = 12000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 110000, B2 = 2502500 (P-1 stage 2)

B1 = 110000 (P-1 stage 1)

B1 = 55000, B2 = 948750 (P-1 stage 2)

B1 = 55000 (P-1 stage 1)

B1 = 15000, B2 = 183750 (P-1 stage 2)

B1 = 15000 (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

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-02-12T19:37:10+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