M1 159 108 177 Mersenne number exponent details

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is 2 ^1159108177 - 1

has 348926330 decimal digits

takes 73,302.860 GHz-days to do one PRP test

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	2⁶⁸	0.0514	54.4118%	-	-	-	-	0.0514	54.4118%
Target	2⁸⁶	13,520.2834	63.9535%	6500000	1600000000	8,557.1995	4.3626%	22,077.4828	65.5261%
Difference	-18	-13,520.2319	-9.5417%	-6500000	-1600000000	-8,557.1995	-4.3626%	-22,077.4314	-11.1143%

Known prime factors (2 factors, 105.5 bits, 0.00000910% 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
1159108177	1604205716969	13	40.545	692 2² × 173	2012-08-20	4	173	2.082e-10	0.0012	0.0016
1159108177	36201343333252831879	20	64.973	15616033107 3 × 67 × 283 × 274529	2021-02-06	283	274529	0.0037	1.3961	2.5616

1 Composite Factors:

P-1 results:
No P-1 results for M1159108177

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-02-06	slaur	palvi2-rtx	2⁶⁴	2⁶⁸	36201343333252831879	64.973	20	0.048	149,211	0.099

ECM factoring results:
No ECM results for M1159108177

Lucas-Lehmer results:
No L-L results for M1159108177

PRP results:
No PRP results for M1159108177

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:

2⁶⁸

this exponent TF target: 86

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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