M55689503 Mersenne number exponent details

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M55689503

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is 2 ^55689503 - 1

has 16764211 decimal digits

takes 118.031 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	0.5336	61.1940%	-	-	-	-	0.5336	61.1940%	0.0000%
PrimeNet	2⁶⁹	2.1438	62.3188%	240000	10000000	2.3717	5.3639%	4.5155	64.3400%	2.0212%
GPU72	2⁷³	34.3484	64.3836%	360000	12000000	3.0553	3.9363%	37.4037	65.7855%	1.4020%
Difference	-6	-33.8148	-3.1895%	-360000	-12000000	-3.0553	-3.9363%	-36.8701	-4.5915%	-4.5915%

Known prime factors (2 factors, 96.3 bits, 0.00017299% 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
55689503	1447927079	10	30.431	13 13	-	1	13	2.576e-12	5.082e-6	6.254e-6
55689503	69219681463594014593	20	65.908	621478714432 2⁶ × 97 × 139 × 720211	2019-07-09	139	720211	0.1656	0.1210	0.2252

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
55689503	1447927079 69219681463594014593	100225051190892126391525863847	30	96.339

P-1 results:
No P-1 results for M55689503

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-09T10:14:12	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	69219681463594014593	65.908	20	0.035	242.4	0.071

ECM factoring results:
No ECM results for M55689503

Lucas-Lehmer results:
No L-L results for M55689503

PRP results:
No PRP results for M55689503

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

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-07-09T10:14:12+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