M194544733 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	2⁶⁷	0.1527	58.2090%	-	-	-	-	0.1527	58.2090%	0.0000%
PrimeNet	2⁷⁴	19.6657	62.1622%	800000	45000000	38.0543	5.8177%	57.7200	64.3635%	2.2013%
GPU72	2⁷⁸	314.6655	64.1026%	1200000	45000000	42.5405	4.2478%	357.2060	65.6274%	1.5249%
Difference	-11	-314.5127	-5.8936%	-1200000	-45000000	-42.5405	-4.2478%	-357.0532	-7.4185%	-7.4185%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

0.1527

58.2090%

0.1527

58.2090%

0.0000%

PrimeNet

2⁷⁴

19.6657

62.1622%

800000

45000000

38.0543

5.8177%

57.7200

64.3635%

2.2013%

GPU72

2⁷⁸

314.6655

64.1026%

1200000

45000000

42.5405

4.2478%

357.2060

65.6274%

1.5249%

Difference

-11

-314.5127

-5.8936%

-1200000

-45000000

-42.5405

-4.2478%

-357.0532

-7.4185%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
194544733	77437752791719	14	46.138	199023 3 × 11 × 37 × 163	2007-12-05	37	163	5.197e-8	0.0005	0.0009
194544733	189747354432960239	18	57.397	487670243 631 × 772853	2015-06-17	631	772853	0.0001	0.5065	0.9329
194544733	9785582037548698231	19	63.085	25149953655 3⁴ × 5 × 62098651	2016-12-12	81	62098651	0.0174	40.133	74.956

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

194544733

77437752791719

46.138

199023
3 × 11 × 37 × 163

2007-12-05

163

5.197e-8

0.0005

0.0009

194544733

189747354432960239

57.397

487670243
631 × 772853

2015-06-17

631

772853

0.0001

0.5065

0.9329

194544733

9785582037548698231

63.085

25149953655
3⁴ × 5 × 62098651

2016-12-12

62098651

0.0174

40.133

74.956

exponent	prime factors	composite factor	digits	bits*
194544733	77437752791719 189747354432960239	14693608725462261317851575460841	32	103.535
194544733	77437752791719 9785582037548698231	757773482746782006721034526749089	33	109.223
194544733	189747354432960239 9785582037548698231	1856788303211562073207922134232637209	37	120.482
194544733	77437752791719 189747354432960239 9785582037548698231	14378551361065232598803563170412057468904346647227 1	51	166.620

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-06-17T11:06:00	TJAOI	Manual testing	2⁵⁷	2⁵⁸*	189747354432960239	57.397	18	3.25321e-5	3,261	6.66687e-5
2022-06-10T07:10:22	LordJulius	Manual testing	2¹	2⁶³	189747354432960239	57.397	18	0.000	3,261	0.000
2022-06-10T07:10:22	LordJulius	Manual testing	2¹	2⁶³	77437752791719	46.138	14	5.19724e-8	3,261	1.06508e-7
2016-12-12T17:13:54	TJAOI	Manual testing	2⁶³	2⁶⁴*	9785582037548698231	63.085	19	0.009	3,261	0.019

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

10²

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶⁴

2⁶³

2⁵⁸

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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