M3 190 589 Mersenne number exponent details

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M3190589

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>>>

is 2 ^3190589 - 1

has 960463 decimal digits

takes 0.272 GHz-days to do one PRP test

Last-known PrimeNet details:

Assigned as prp on 2023-03-21, 0.0% done, ETC 2023-03-25

factored, 0 LL tests remaining

	Residue	Status
L-L	1D7E5A6C5E8ADE3C	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	74.8923	68.5714%	10200000	19598847450	132.9685	14.1706%	207.8608	73.0250%
Target	2⁶⁴	1.1156	65.6250%	15000	260000	0.0035	1.5839%	1.1191	66.1695%
Difference	+6	+73.7768	+2.9464%	+10185000	+19598587450	+132.9650	+12.5867%	+206.7418	+6.8556%

Known prime factors (1 factor, 137.4 bits, 0.00430666% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3190589	231148666168838206199666735807942917513199	42	137.408	36223510168316603329301695675617091 13² × 521 × 8161 × 31873 × 865801 × 1682509 × 1085736167	2023-03-16	1682509	1085736167	5.474e+10	7.4966	13.635

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-02-14	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.163%
2014-08-21	Jocelyn Larouche	Manual testing	85653	85653		-		-	-	0.011	-	-	0.586%
2014-11-01	Jocelyn Larouche	Manual testing	105770	105770		-		-	-	0.013	-	-	0.669%
2015-12-06	Squeeky_Squirrel	P4_2600	155000	3913750	6	-		-	-	0.044	-	-	2.530%
2016-05-17	Jocelyn Larouche	Manual testing	346029	6228522	6	-		-	-	0.082	-	-	3.207%
2019-10-28	mikr	MSI	4000000	150000000	12	-		-	-	1.475	-	-	7.474%
2023-03-16	Sid & Andy	Pterodactyl	10200000	19598847450			231148666168838206199666735807942917513199	42	137.408	133.0	0.543	265.9	14.171%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-07-07	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.048	-	-
2009-04-08	S485122	USB-Z	2⁶⁰	2⁶¹		-	-	0.048	-	-
2011-10-21	markr	oldgamer	2⁶¹	2⁶²		-	-	0.096	-	-
2013-01-03	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.308	-	-
2015-02-15	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.615	-	-
2015-02-15	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.171	-	-
2015-06-21	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	2.342	-	-
2017-05-01	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.684	-	-
2018-12-24	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	9.368	-	-
2021-07-28	MadPoo	Manual testing	2⁶⁸	2⁶⁹		-	-	18.74	-	-
2022-11-18	TJAOI	Manual testing	2⁶⁹	2⁷⁰		-	-	37.47	-	-

ECM factoring results:

Total ECM effort:	12.711 GHz-days
Estimated T-Level:	21.907

Digits	B1	Complete	FacMiss
20	11000	4.122	1.622%
25	50000	0.381	68.287%
30	250000	0.024	97.620%
35	1000000	0.001	99.887%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	92	10.80
50000	6750000	7	0.950
50000	6900000	7	0.961

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-05-25	Matt	Dell	50000	5000000						3	0.352
2011-08-25	Roy Oswald	royoswald	50000	5000000						3	0.352
2014-04-10	Bruce	fx6840-21	50000	5000000						3	0.352
2016-07-16	f0rteOC	Fortissimo	50000	5000000						3	0.352
2018-07-05	deo2016	VPS_001	50000	5000000						3	0.352
2020-12-17	Zenzoma	AM3700X_1	50000	5000000						7	0.822
2021-01-18	Zenzoma	AMD3970X	50000	5000000						7	0.822
2021-02-17	IanGlencross	glenx24	50000	5000000						7	0.822
2021-03-19	mnd9	50869	50000	5000000						7	0.822
2021-05-06	Zenzoma	AMD3970X	50000	5000000						7	0.822
2021-06-16	LaurV	butu	50000	6750000						7	0.950
2021-07-31	daveward2005	Dave2	50000	5000000						7	0.822
2021-10-06	GAN	KL-SCH07	50000	5000000						7	0.822
2022-01-06	daveward2005	d12436	50000	5000000						7	0.822
2022-04-22	daveward2005	Dave2	50000	5000000						7	0.822
2022-07-24	daveward2005	Dave2	50000	5000000						7	0.822
2022-10-22	daveward2005	d12436	50000	5000000						7	0.822
2022-12-31	MarkS	desktop-i7	50000	6900000						7	0.961

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Iain Fenton		1D7E5A6C5E8ADE3C	0.272
1999-06-26	ANONYMOUS	v4_computers	1D7E5A6C5E8ADE3C	0.272

PRP results:
No PRP results for M3190589

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 = 10200000, B2 = 19598847450 (P-1 stage 2)

B1 = 4000000, B2 = 150000000 (P-1 stage 2)

B1 = 10200000 (P-1 stage 1)

B1 = 4000000 (P-1 stage 1)

B1 = 346029, B2 = 6228522 (P-1 stage 2)

B1 = 155000, B2 = 3913750 (P-1 stage 2)

B1 = 346029 (P-1 stage 1)

B1 = 155000 (P-1 stage 1)

B1 = 105770 (P-1 stage 1)

B1 = 85653 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

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: 67.7

ECM T-Level=21.91 ~= 56-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

Last modified: 2023-03-26T07:58:09+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