M926969327 Mersenne number exponent details

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M926969327

<<<

is 2 ^926969327 - 1

has 279045573 decimal digits

takes 40,306.000 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	0.0321	55.2239%	-	-	-	-	0.0321	55.2239%	0.0000%
PrimeNet	2⁸¹	528.3166	62.9630%	3400000	260000000	1,095.7942	5.8049%	1,624.1108	65.1129%	2.1500%
GPU72	2⁸⁵	8,453.0687	64.7059%	5000000	260000000	1,191.1752	4.3525%	9,644.2439	66.2421%	1.5362%
Difference	-18	-8,453.0367	-9.4820%	-5000000	-260000000	-1,191.1752	-4.3525%	-9,644.2118	-11.0182%	-11.0182%

Known prime factors (3 factors, 146.2 bits, 0.00001578% 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
926969327	83427239431	11	36.280	45 3² × 5	2008-05-31	9	9	9.972e-12	0.0006	0.0012
926969327	696969697584761	15	49.308	375940 2² × 5 × 18797	2014-04-28	5	18797	1.110e-7	0.0649	0.1206
926969327	1803206803692212599	19	60.645	972635637 3 × 17 × 19071287	2016-02-23	17	19071287	0.0002	65.512	122.36

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
926969327	83427239431 696969697584761	58146257836555518363910991	26	85.588
926969327	83427239431 1803206803692212599	150436565755238435326927791169	30	96.925
926969327	696969697584761 1803206803692212599	1256780500652144910118474434603839	34	109.953
926969327	83427239431 696969697584761 1803206803692212599	104849727740118545060161941232146827884775609	45	146.233

P-1 results:
No P-1 results for M926969327

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-04-28T11:28:00	TJAOI	Manual testing	?	?	696969697584761	49.308	15	3.01200e-8	82,597	6.17235e-8
2016-02-23T12:49:22	TJAOI	Manual testing	2⁶⁰	2⁶¹*	1803206803692212599	60.645	19	3.21698e-5	82,597	6.59241e-5

ECM factoring results:
No ECM results for M926969327

Lucas-Lehmer results:
No L-L results for M926969327

PRP results:
No PRP results for M926969327

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

10²

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶¹

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-02-23T12:49:22+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