M3 259 Mersenne number exponent details

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M3259

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is 2 ³²⁵⁹ - 1

has 982 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	-unknown-	-unknown-
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	0.0007	72.7273%	500	80000	0.0000	0.8896%	0.0007	72.9699%
Difference	-44	-0.0007	-72.7273%	-500	-80000	0.0000	-0.8896%	-0.0007	-72.9699%

Known prime factors (2 factor, 3,259.0 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
3259	21926805872270062496819221124452121	35	114.078	3364038949412406028968889402340 2² × 5 × 7 × 23 × 4663 × 27823 × 8052593433320083853	-	27823	8052593433320083853	4.894e+13	26,241,389	49,011,607
3259	hide decimal representation P947 click to show decimal representation	947	3,144.922

P-1 results:
No P-1 results for M3259

Trial Factoring results:
No TF results for M3259

ECM factoring results:
No ECM results for M3259

Lucas-Lehmer results:
No L-L results for M3259

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-09

kkmrkkblmbrbk

c4.large

21926805872270062496819221124452121

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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

Last modified: 2023-07-11T14:45:05+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