M22094827 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	1.3448	62.6866%	-	-	-	-	1.3448	62.6866%	0.0000%
PrimeNet	2⁶⁵	0.3302	61.5385%	100000	3200000	0.2843	5.1435%	0.6145	63.5167%	1.9783%
GPU72	2⁶⁹	5.4034	63.7681%	170000	5000000	0.4580	3.9694%	5.8613	65.2063%	1.4382%
Difference	-2	-4.0585	-1.0815%	-170000	-5000000	-0.4580	-3.9694%	-4.5165	-2.5197%	-2.5197%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.3448

62.6866%

1.3448

62.6866%

0.0000%

PrimeNet

2⁶⁵

0.3302

61.5385%

100000

3200000

0.2843

5.1435%

0.6145

63.5167%

1.9783%

GPU72

2⁶⁹

5.4034

63.7681%

170000

5000000

0.4580

3.9694%

5.8613

65.2063%

1.4382%

Difference

-2

-4.0585

-1.0815%

-170000

-5000000

-0.4580

-3.9694%

-4.5165

-2.5197%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
22094827	24215930393	11	34.495	548 2² × 137	-	4	137	1.159e-10	1.189e-5	1.489e-5
22094827	16436960460457	14	43.902	371964 2² × 3 × 139 × 223	2008-10-01	139	223	8.017e-8	0.0002	0.0003
22094827	114908817290048527	18	56.673	2600355669 3 × 41 × 21141103	2015-08-06	41	21141103	0.0007	1.2179	2.2745

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

22094827

24215930393

34.495

548
2² × 137

137

1.159e-10

1.189e-5

1.489e-5

22094827

16436960460457

43.902

371964
2² × 3 × 139 × 223

2008-10-01

139

223

8.017e-8

0.0002

0.0003

22094827

114908817290048527

56.673

2600355669
3 × 41 × 21141103

2015-08-06

21141103

0.0007

1.2179

2.2745

exponent	prime factors	composite factor	digits	bits*
22094827	24215930393 16436960460457	398036290382919940969601	24	78.397
22094827	24215930393 114908817290048527	2782623921037770021424181111	28	91.169
22094827	16436960460457 114908817290048527	1888751686354405319281794596839	31	100.575
22094827	24215930393 16436960460457 114908817290048527	45737879366419647140636878709176721827727	41	135.071

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-10-01T01:36:00	markr	Manual testing	?	?	16436960460457	43.902	14	2.71374e-8	33.15	5.58470e-8
2003-02-09T00:00:00	Thomas Mullen	v4_computers	2⁵⁶	2⁵⁷	MISSED FACTOR!	-	-	0.000	-	-
2003-04-10T00:00:00	Thomas Mullen	v4_computers	2⁵⁶	2⁵⁷	MISSED FACTOR!	-	-	0.000	-	-
2015-04-22T11:14:00	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	114908817290048527	56.673	18	0.000	33.15	0.000

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

2⁵⁷

2³⁰

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