M29 Mersenne number exponent details

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M29

<<<

<<

is 2 ²⁹ - 1

has 9 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

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	00002B0C4A98C312	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	0.0808	88.6364%	500	10000	0.0000	0.1752%	0.0808	88.6563%
Difference	-44	-0.0808	-88.6364%	-500	-10000	0.0000	-0.1752%	-0.0808	-88.6563%

Known prime factors (3 factors, 29.0 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
29	233	3	7.864	4 2²	-	4	4	5.793e-13	5.897e-11	1.200e-10
29	1103	4	10.107	19 19	-	1	19	4.714e-12	2.920e-11	3.000e-11
29	hide decimal representation P4 2089	4	11.029

exponent	prime factors	composite factor	digits	bits*
29	233 1103	256999	6	17.971

1 Composite Factors:

P-1 results:
No P-1 results for M29

Trial Factoring results:
No TF results for M29

ECM factoring results:
No ECM results for M29

Lucas-Lehmer results:
No L-L results for M29

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24

Luke_Richards

work-laptop

00002B0C4A98C312

no

2018-01-24

-p95holder- @bopoh13

Lucius_Yorkfield

233

1103

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

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.7

2⁵⁰

Last modified: 2023-03-25T13:08:14+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