M67271591 Mersenne number exponent details

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M67271591

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is 2 ^67271591 - 1

has 20250767 decimal digits

takes 170.048 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	0.4417	59.7015%	-	-	-	-	0.4417	59.7015%	0.0000%
PrimeNet	2⁷⁰	3.5520	61.4286%	280000	13000000	3.5664	5.3215%	7.1184	63.4812%	2.0526%
GPU72	2⁷⁴	56.8719	63.5135%	450000	15000000	4.5549	3.9304%	61.4269	64.9476%	1.4341%
Difference	-7	-56.4302	-3.8120%	-450000	-15000000	-4.5549	-3.9304%	-60.9852	-5.2461%	-5.2461%

Known prime factors (2 factors, 109.8 bits, 0.00016316% 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
67271591	27861740301289	14	44.663	207084 2² × 3 × 17257	-	4	17257	6.352e-8	0.0035	0.0064
67271591	39428579473585707311	20	65.096	293055202705 5 × 58611040541	2018-05-31	5	58611040541	0.1148	11,704	21,860

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
67271591	27861740301289 39428579473585707311	1098548841741779125832345310023879	34	109.759

P-1 results:
No P-1 results for M67271591

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2018-05-31T14:29:42	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	39428579473585707311	65.096	20	0.006	349.7	0.013

ECM factoring results:
No ECM results for M67271591

Lucas-Lehmer results:
No L-L results for M67271591

PRP results:
No PRP results for M67271591

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

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-05-31T14:29:42+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