M119 128 717 Mersenne number exponent details

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is 2 ^119128717 - 1

has 35861318 decimal digits

takes 550.143 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁶⁷	0.2494	59.7015%	-	-	-	-	0.2494	59.7015%
Target	2⁷⁶	128.4660	64.4737%	800000	140000000	56.1408	4.2142%	184.6068	65.9708%
Difference	-9	-128.2166	-4.7722%	-800000	-140000000	-56.1408	-4.2142%	-184.3574	-6.2693%

Known prime factors (3 factors, 124.9 bits, 0.00010485% 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
119128717	5479920983	10	32.352	23 23	2007-09-28	1	23	4.827e-12	1.472e-5	1.472e-5
119128717	408611499311	12	38.572	1715 5 × 7³	2007-09-28	343	343	4.215e-10	0.0023	0.0047
119128717	17734737845217329	17	53.977	74435192 2³ × 13 × 107 × 6689	2014-10-24	107	6689	1.524e-5	0.0031	0.0046

4 Composite Factors:

P-1 results:
No P-1 results for M119128717

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-10-24	TJAOI	Manual testing	2⁵³	2⁵⁴*	17734737845217329	53.977	17	5.17142e-6	1,244	1.16941e-5

ECM factoring results:
No ECM results for M119128717

Lucas-Lehmer results:
No L-L results for M119128717

PRP results:
No PRP results for M119128717

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

TF factor-bounds graph:

2⁵⁴

this exponent TF target: 76

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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Last modified: 2023-10-02T12:12:48+00:00