M4664669 Mersenne number exponent details

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M4664669

<<<

>>>

is 2 ^4664669 - 1

has 1404206 decimal digits

takes 0.614 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
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	2⁶⁷	6.3700	65.6716%	-	-	-	-	6.3700	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0659	62.2951%	20000	400000	0.0078	3.1180%	0.0736	63.4707%	1.1756%
GPU72	2⁶⁵	1.5640	64.6154%	30000	600000	0.0117	2.2298%	1.5757	65.4044%	0.7890%
Difference	+2	+4.8060	+1.0563%	-30000	-600000	-0.0117	-2.2298%	+4.7943	+0.2673%	+0.2673%

Known prime factors (2 factors, 104.2 bits, 0.00223374% 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
4664669	208930524511	12	37.604	22395 3 × 5 × 1493	-	5	1493	7.251e-9	1.643e-5	2.907e-5
4664669	111263152958774539721	21	66.593	11926157349940 2² × 5 × 596307867497	2019-03-18	5	596307867497	5.7736	6,202.6	11,585

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4664669	208930524511 111263152958774539721	23246268906424386143701133601431	32	104.197

P-1 results:
No P-1 results for M4664669

Trial Factoring results:
No TF results for M4664669

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.197 GHz-days
Estimated T-Level:	0.050

Digits	B1	Curves	Complete	FacMiss
20	11000	1 / 100	0.010	99.000%
25	50000	1 / 280	0.004	99.643%

New Calculation Method

Total ECM effort:	0.197 GHz-days
Estimated T-Level:	0.050

Digits	B1	Complete	FacMiss
20	11000	0.032	96.826%
25	50000	0.003	99.709%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	111263152958774539721	1	0.197

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-03-19T03:45:15	MarkS	laptop64	50000	5000000	111263152958774539721	66.593	1	2		1	0.197

Lucas-Lehmer results:
No L-L results for M4664669

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:44:58

kkmrkkblmbrbk

Manual testing

208930524511

86C630A20E577F__

2018-03-04T13:49:10

ATH

ec2-1xf

208930524511

86C630A20E577F__

2019-03-19T21:24:44

artorollo

fourth

208930524511

111263152958774539721

A61DDCCF9478F263

2019-03-19T22:20:01

ATH

ec2-PRPCFDC

208930524511

111263152958774539721

A61DDCCF9478F263

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

10⁰

10¹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-03-19T22:20:01+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