M3 482 443 Mersenne number exponent details

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M3482443

<<<

>>>

is 2 ^3482443 - 1

has 1048320 decimal digits

takes 0.366 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

factored, 0 LL tests remaining

	Residue	Status
L-L	78BB319045FB3EAC	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁰	68.6158	68.5714%	9200000	17701770450	148.1998	14.0303%	216.8156	72.9810%
Target	2⁶⁴	1.0221	65.6250%	19000	1800000	0.0177	1.8870%	1.0397	66.2737%
Difference	+6	+67.5937	+2.9464%	+9181000	+17699970450	+148.1821	+12.1433%	+215.7758	+6.7073%

Known prime factors (1 factor, 128.5 bits, 0.00369029% 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
3482443	485384746718043139269825541604699632679	39	128.512	69690264380212847600064888586073 29 × 853 × 333679 × 825101 × 2289247 × 4469885933	2023-05-05	2289247	4469885933	5.407e+10	37.417	69.269

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-07	Carsten Kossendey	leela	20000	240000		-		-	-	0.005	-	-	0.697%
2011-11-14	harlee	P4_2600	60000	990000		-		-	-	0.017	-	-	1.482%
2014-08-21	Jocelyn Larouche	Manual testing	78431	78431		-		-	-	0.012	-	-	0.563%
2014-09-28	HBendtz	HAL9007	500000	10000000		-		-	-	0.155	-	-	3.772%
2021-11-15	Aaron Haviland	Manual testing	1500000	30000000	12	-		-	-	0.465	-	-	5.279%
2022-02-08	mikr	MSI	5000000	405000000		-		-	-	4.080	-	-	8.856%
2023-05-05	Sid & Andy	Pterodactyl	9200000	17701770450			485384746718043139269825541604699632679	39	128.512	148.2	0.732	296.4	14.030%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.044	-	-
2009-03-20	S485122	USB-Z	2⁶⁰	2⁶¹		-	-	0.044	-	-
2011-07-18	markr	oldgamer	2⁶¹	2⁶²		-	-	0.088	-	-
2012-08-18	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.458	-	-
2016-02-23	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.282	-	-
2015-02-07	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.564	-	-
2015-02-07	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.073	-	-
2016-01-05	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.146	-	-
2017-02-18	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.292	-	-
2018-10-22	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	8.583	-	-
2021-01-11	axn	Manual testing	2⁶⁸	2⁶⁹		-	-	17.17	-	-
2022-03-30	TJAOI	Manual testing	2⁶⁹	2⁷⁰		-	-	34.33	-	-

ECM factoring results:

Total ECM effort:	12.117 GHz-days
Estimated T-Level:	21.394

Digits	B1	Complete	FacMiss
20	11000	3.003	4.963%
25	50000	0.279	75.676%
30	250000	0.018	98.252%

ECM Summary

B1	B2	curves	GHz-days
50000	4700000	7	1.003
50000	5000000	57	8.394
50000	7000000	7	1.218
50000	16448853	5	1.502

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-07-18	Gerry Snyder	blu	50000	5000000						3	0.442
2012-02-28	alan145	Bear1	50000	5000000						3	0.442
2015-03-31	Bruce	agent86	50000	5000000						3	0.442
2017-01-10	ANONYMOUS	q9550	50000	5000000						3	0.442
2019-07-05	Corey	Computer	50000	5000000						3	0.442
2021-04-09	Gerry Snyder	Gerry-Workstation	50000	5000000						7	1.031
2021-06-06	kutens	sol	50000	4700000						7	1.003
2021-07-09	daveward2005	d12436	50000	5000000						7	1.031
2021-08-27	FJCrodericck	Bonnyville_1	50000	5000000						7	1.031
2021-11-10	daveward2005	Dave2	50000	5000000						7	1.031
2022-03-01	daveward2005	Dave2	50000	5000000						7	1.031
2022-06-04	daveward2005	Dave2	50000	5000000						7	1.031
2022-09-08	LaurV	butu	50000	7000000						7	1.218
2023-03-18	seatsea	dt	50000	16448853						5	1.502

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Alexey Khlyamkov		78BB319045FB3EAC	0.366
1999-08-16	ANONYMOUS	v4_computers	78BB319045FB3EAC	0.366

PRP results:

date

userid

compid

cofactors

res64

PRP

2023-05-05

Naegi Makoto

5950X

485384746718043139269825541604699632679

C38A071B09E9575A

2023-05-05

ryu

msipser

485384746718043139269825541604699632679

141DD05115BF9281

2023-05-05

ryu

msipser

485384746718043139269825541604699632679

141DD05115BF9281

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 = 9200000, B2 = 17701770450 (P-1 stage 2)

B1 = 5000000, B2 = 405000000 (P-1 stage 2)

B1 = 9200000 (P-1 stage 1)

B1 = 5000000 (P-1 stage 1)

B1 = 1500000, B2 = 30000000 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 60000, B2 = 990000 (P-1 stage 2)

B1 = 78431 (P-1 stage 1)

B1 = 60000 (P-1 stage 1)

B1 = 20000, B2 = 240000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

this exponent TF target: 64

TF double-checked to: 67.9

ECM T-Level=21.39 ~= 54-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

Last modified: 2023-09-25T11:53:03+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