M67983497 Mersenne number exponent details

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M67983497

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is 2 ^67983497 - 1

has 20465072 decimal digits

takes 171.847 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L 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	2⁷⁴	56.2764	63.5135%	-	-	-	-	56.2764	63.5135%	2.0849%
PrimeNet	2⁷⁰	3.5148	61.4286%	280000	13000000	3.5664	5.3284%	7.0812	63.4838%	2.0553%
GPU72	2⁷⁴	56.2764	63.5135%	450000	15000000	4.5549	3.9356%	60.8313	64.9495%	1.4359%
Difference	-	-	-	-450000	-15000000	-4.5549	-3.9356%	-4.5549	-1.4359%	-1.4359%

Known prime factors (1 factor, 90.5 bits, 0.00013312% 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
67983497	1753010986832384134537496993	28	90.502	12892915664755993168 2⁴ × 883 × 38839 × 43889 × 535361	2014-01-21	43889	535361	3,806,453	0.2590	0.3274

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2014-01-21T06:56:00	Youcef L	breitner					1753010986832384134537496993	28	90.502	-	343.7	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-12-27T15:07:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.029	-	-
2009-04-14T16:57:00	carlos1	1	2⁶⁴	2⁶⁵		-	-	0.055	-	-
2009-12-30T08:54:00	Aleksey Osadchiy	sl_mgm	2⁶⁵	2⁶⁶		-	-	0.110	-	-
2010-03-04T11:37:00	ANONYMOUS	north-lounge	2⁶⁶	2⁶⁷		-	-	0.220	-	-
2010-03-07T10:45:00	Donna Noble	q8200v2	2⁶⁷	2⁶⁸		-	-	0.440	-	-
2010-03-10T06:27:00	Donna Noble	q8200v2	2⁶⁸	2⁶⁹		-	-	0.879	-	-
2013-05-01T13:42:00	Houd Al-Obaidli	dell_i7	2⁶⁹	2⁷⁰		-	-	1.759	-	-
2013-07-22T00:35:00	SRS Technology	Manual testing	2⁷⁰	2⁷¹		-	-	3.517	-	-
2013-07-22T00:35:00	SRS Technology	Manual testing	2⁷¹	2⁷²		-	-	7.035	-	-
2013-09-30T22:40:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	14.07	-	-
2013-10-04T22:39:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	28.14	-	-

ECM factoring results:
Exponent "67983497" not found

Lucas-Lehmer results:
Exponent "67983497" not found

PRP results:
Exponent "67983497" not found

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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2014-01-21T06:56:58+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