M582264989 Mersenne number exponent details

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	2⁶⁸	0.1024	55.8824%	-	-	-	-	0.1024	55.8824%	0.0000%
PrimeNet	2⁷⁹	210.2706	62.0253%	2200000	140000000	384.1141	5.6789%	594.3847	64.1819%	2.1566%
GPU72	2⁸³	3,364.3337	63.8554%	3200000	140000000	421.5262	4.2128%	3,785.8599	65.3781%	1.5227%
Difference	-15	-3,364.2313	-7.9731%	-3200000	-140000000	-421.5262	-4.2128%	-3,785.7575	-9.4958%	-9.4958%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

0.1024

55.8824%

0.1024

55.8824%

0.0000%

PrimeNet

2⁷⁹

210.2706

62.0253%

2200000

140000000

384.1141

5.6789%

594.3847

64.1819%

2.1566%

GPU72

2⁸³

3,364.3337

63.8554%

3200000

140000000

421.5262

4.2128%

3,785.8599

65.3781%

1.5227%

Difference

-15

-3,364.2313

-7.9731%

-3200000

-140000000

-421.5262

-4.2128%

-3,785.7575

-9.4958%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
582264989	6713808848773604791	19	62.542	5765252055 3 × 5 × 29 × 317 × 41809	2010-01-31	317	41809	0.0011	0.1020	0.1683
582264989	33172370244908456833	20	64.847	28485630144 2⁶ × 3² × 317 × 156007	2018-02-06	317	156007	0.0113	0.3482	0.6281
582264989	200102705620581363983	21	67.439	171831304819 12491 × 13756409	2022-08-03	12491	13756409	0.0572	30.123	55.388

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

582264989

6713808848773604791

62.542

5765252055
3 × 5 × 29 × 317 × 41809

2010-01-31

317

41809

0.0011

0.1020

0.1683

582264989

33172370244908456833

64.847

28485630144
2⁶ × 3² × 317 × 156007

2018-02-06

317

156007

0.0113

0.3482

0.6281

582264989

200102705620581363983

67.439

171831304819
12491 × 13756409

2022-08-03

12491

13756409

0.0572

30.123

55.388

exponent	prime factors	composite factor	digits	bits*
582264989	6713808848773604791 33172370244908456833	222712952885060628985708483946425486903	39	127.388
582264989	6713808848773604791 200102705620581363983	1343451315658998904173118292966563642553	40	129.981
582264989	33172370244908456833 200102705620581363983	6637881037853849462793407167394816445839	40	132.286
582264989	6713808848773604791 33172370244908456833 200102705620581363983	44565464449049694027134214138731691791320159974538 642414649	59	194.828

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-01-31T01:55:00	Architects Cubed	m1_34	?	?	6713808848773604791	62.542	19	9.30544e-5	32,569	0.000
2018-02-06T14:24:00	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	33172370244908456833	64.847	20	0.005	32,569	0.011
2022-08-03T11:15:51	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200102705620581363983	67.439	21	0.006	32,569	0.013
2022-08-10T19:29:50	LordJulius	Manual testing	2¹	2⁶⁸	200102705620581363983	67.439	21	0.057	32,569	0.117
2022-08-10T19:29:50	LordJulius	Manual testing	2¹	2⁶⁸	33172370244908456833	64.847	20	0.011	32,569	0.023
2022-08-10T19:29:50	LordJulius	Manual testing	2¹	2⁶⁸	6713808848773604791	62.542	19	0.001	32,569	0.002

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

10¹

10²

10³

10⁴

10⁵

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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