M10319429 Mersenne number exponent details

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M10319429

<<<

>>>

is 2 ^10319429 - 1

has 3106458 decimal digits

takes 3.371 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	2.8794	64.1791%	-	-	-	-	2.8794	64.1791%	0.0000%
PrimeNet	2⁶⁴	0.3449	62.5000%	45000	1300000	0.0537	3.7623%	0.3986	63.9109%	1.4109%
GPU72	2⁶⁸	5.7760	64.7059%	70000	1600000	0.0726	2.6598%	5.8486	65.6446%	0.9388%
Difference	-1	-2.8966	-0.5268%	-70000	-1600000	-0.0726	-2.6598%	-2.9692	-1.4655%	-1.4655%

Known prime factors (2 factors, 129.6 bits, 0.00125625% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
10319429	12244269839747568697	20	63.409	593262952812 2² × 3³ × 21773 × 252293	1999-09-07	21773	252293	0.2589	0.0163	0.0210
10319429	86462667024371115287	20	66.229	4189314497167 19 × 151 × 16741 × 87223	2019-12-12	16741	87223	2.4302	0.0097	0.0161

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
10319429	12244269839747568697 86462667024371115287	1058672226110643908177959910692539371039	40	129.637

P-1 results:
No P-1 results for M10319429

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-09-07T00:00:00	delong	v4_computers	?	?	12244269839747568697	63.409	20	0.104	6.855	0.212
2019-12-12T13:43:40	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	86462667024371115287	66.229	20	0.999	6.855	2.031

ECM factoring results:
No ECM results for M10319429

Lucas-Lehmer results:
No L-L results for M10319429

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-04-03T13:16:37

Oliver Kruse

Threadripper-PC

12244269839747568697

86462667024371115287

D1C0DBCFFC20DC__

2021-02-22T20:37:35

monsted

liane

12244269839747568697

86462667024371115287

D1C0DBCFFC20DCB6

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:

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-02-22T20:37:35+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