M6 965 549 Mersenne number exponent details

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M6965549

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is 2 ^6965549 - 1

has 2096840 decimal digits

takes 1.519 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	AB2E167B2B2C0906	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	137.2948	68.0556%	2000000	58000000	1.5970	5.5219%	138.8918	69.8195%
Target	2⁶⁷	4.2658	65.6716%	45000	900000	0.0290	2.2387%	4.2948	66.4402%
Difference	+5	+133.0290	+2.3839%	+1955000	+57100000	+1.5681	+3.2832%	+134.5970	+3.3793%

Known prime factors:
No known factors for M6965549

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-05-06	ANONYMOUS	v4_computers	80000	1280000		-		-	-	0.046	-	-	1.478%
2013-08-05	Nesowa	Outback	435000	11310000		-		-	-	0.325	-	-	3.388%
2021-11-05	Seth_Tr	Manual testing	2000000	58000000	12	-		-	-	1.597	-	-	5.522%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-09-06	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.044	-	-
1998-09-13	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.088	-	-
1998-10-04	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.088	-	-
2007-09-28	Richard B. Woods	v4_computers	2¹	2⁶⁴		-	-	0.511	-	-
2008-02-03	Richard B. Woods	v4_computers	2¹	2⁶⁵		-	-	1.047	-	-
2014-01-17	lycorn	Manual testing	2⁶⁵	2⁶⁶		-	-	1.073	-	-
2014-03-30	ramgeis	Manual testing	2⁶⁶	2⁶⁷		-	-	2.146	-	-
2014-03-30	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	4.291	-	-
2014-03-30	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	8.583	-	-
2014-03-30	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	17.17	-	-
2016-01-06	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	34.33	-	-
2021-09-25	SRBase	Manual testing	2⁷¹	2⁷²		-	-	68.66	-	-

ECM factoring results:

Total ECM effort:	2.984 GHz-days
Estimated T-Level:	1.731

Digits	B1	Complete	FacMiss
20	11000	0.346	70.740%
25	50000	0.032	96.848%
30	250000	0.002	99.798%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		9	2.984

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2012-09-06	Christopher Tompkins	iMac2	50000	5000000						3	0.995
2017-04-29	Yxinity	Elena	50000	5000000						3	0.995
2017-05-01	Yxinity	Manual testing	50000	5000000						3	0.995

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Kevin D. Quitt		AB2E167B2B2C0906	1.519
2001-05-13	ANONYMOUS	v4_computers	AB2E167B2B2C0906	1.519
2001-11-14	ANONYMOUS	v4_computers	AB2E167B2B2C0906	1.519
2002-08-24	ANONYMOUS	v4_computers	AB2E167B2B2C0906	1.519

PRP results:
No PRP results for M6965549

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 = 2000000, B2 = 58000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 435000, B2 = 11310000 (P-1 stage 2)

B1 = 435000 (P-1 stage 1)

B1 = 80000, B2 = 1280000 (P-1 stage 2)

B1 = 80000 (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

2⁶²

2⁶¹

this exponent TF target: 67

TF double-checked to: 67.8

ECM T-Level=1.73 ~= -11-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-03-25T13:08:14+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