M43 Mersenne number exponent details

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M43

<<<

<<

is 2 ⁴³ - 1

has 13 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

factored, 0 PRP tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	90872DD900AD33C1	PRP-tested
Cofactor is a certified prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0545	86.3636%	500	50000	0.0000	0.2023%	0.0545	86.3912%
Difference	-44	-0.0545	-86.3636%	-500	-50000	0.0000	-0.2023%	-0.0545	-86.3912%

Known prime factors (3 factors, 43.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
43	431	3	8.752	5 5	-	1	5	7.878e-13	1.795e-11	3.000e-11
43	9719	4	13.247	113 113	-	1	113	2.599e-11	1.047e-10	1.744e-10
43	hide decimal representation P7 2099863	7	21.002

exponent	prime factors	composite factor	digits	bits*
43	431 9719	4188889	7	21.998

1 Composite Factors:

P-1 results:
No P-1 results for M43

Trial Factoring results:
No TF results for M43

ECM factoring results:
No ECM results for M43

Lucas-Lehmer results:
No L-L results for M43

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24

Luke_Richards

work-laptop

90872DD900AD33C1

no

2018-01-24

-p95holder- @bopoh13

Lucius_Yorkfield

431

9719

PRP

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

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

JSON version of this page

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