M27304141 Mersenne number exponent details

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M27304141

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is 2 ^27304141 - 1

has 8219366 decimal digits

takes 25.275 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	1.0883	62.6866%	-	-	-	-	1.0883	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5409	62.1212%	120000	4500000	0.4814	5.2165%	1.0223	64.0972%	1.9760%
GPU72	2⁷⁰	8.7514	64.2857%	200000	6000000	0.6926	3.9069%	9.4440	65.6811%	1.3953%
Difference	-3	-7.6632	-1.5991%	-200000	-6000000	-0.6926	-3.9069%	-8.3558	-2.9945%	-2.9945%

Known prime factors (2 factors, 93.8 bits, 0.00034352% 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
27304141	3221888639	10	31.585	59 59	-	1	59	1.061e-11	5.584e-6	8.122e-6
27304141	5336964795259978897	19	62.211	97731783528 2³ × 3 × 197 × 20670851	2016-07-12	197	20670851	0.0476	1.5119	2.8234

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
27304141	3221888639 5336964795259978897	17195106240591087059624051183	29	93.796

P-1 results:
No P-1 results for M27304141

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-07-12T14:10:35	TJAOI	Manual testing	2⁶²	2⁶³*	5336964795259978897	62.211	19	0.025	52.00	0.052

ECM factoring results:
No ECM results for M27304141

Lucas-Lehmer results:
No L-L results for M27304141

PRP results:
No PRP results for M27304141

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶³

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-07-12T14:10:35+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