M73447019 Mersenne number exponent details

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M73447019

<<<

>>>

is 2 ^73447019 - 1

has 22109756 decimal digits

takes 203.059 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	2⁷²	13.0207	62.5000%	-	-	-	-	13.0207	62.5000%	1.0714%
PrimeNet	2⁷⁰	3.2534	61.4286%	320000	14000000	4.2707	5.5434%	7.5241	63.5667%	2.1382%
GPU72	2⁷⁴	52.0901	63.5135%	500000	17000000	5.6082	4.1276%	57.6983	65.0195%	1.5060%
Difference	-2	-39.0694	-1.0135%	-500000	-17000000	-5.6082	-4.1276%	-44.6776	-2.5195%	-2.5195%

Known prime factors (1 factor, 66.3 bits, 0.00009029% 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
73447019	91937112001062099839	20	66.317	625873679101 11 × 1277 × 1913 × 23291	2015-01-25	1913	23291	0.2645	0.0123	0.0156

P-1 results:
Exponent "73447019" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2002-05-05T00:00:00	Jocelyn Larouche	v4_computers	?	2⁵⁷		-	-	0.000	-	-
2008-06-28T14:28:00	George Woltman	Manual testing	?	2⁶⁴		-	-	0.027	-	-
2010-06-09T07:13:00	ANONYMOUS	lims2	2⁶⁴	2⁶⁵		-	-	0.051	-	-
2010-06-10T22:16:00	Markus Tervooren	l1	2⁶⁵	2⁶⁶		-	-	0.102	-	-
2010-06-10T23:52:00	sannerud.com	JimEmcLap	2⁶⁶	2⁶⁷		-	-	0.203	-	-
2015-01-25T22:16:00	tigreroars	Manual testing	2⁶⁶	2⁶⁷	91937112001062099839	66.317	20	0.063	416.9	0.130
2010-06-12T18:14:00	forrest-lumpkin	Mac_mini	2⁶⁷	2⁶⁸		-	-	0.407	-	-
2010-06-14T19:38:00	dulix9	matrix	2⁶⁸	2⁶⁹		-	-	0.814	-	-
2012-10-09T04:04:00	GrunwalderGIMP	compute-0-3	2⁶⁹	2⁷⁰		-	-	1.628	-	-
2014-08-05T15:34:00	Mark Rose	Manual testing	2⁷⁰	2⁷¹		-	-	3.256	-	-
2015-01-09T19:13:00	RichD0	Manual testing	2⁷¹	2⁷²		-	-	6.512	-	-

ECM factoring results:
Exponent "73447019" not found

Lucas-Lehmer results:
Exponent "73447019" not found

PRP results:
Exponent "73447019" 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

10²

10³

10⁴

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-01-25T22:16:00+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