M7018747 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	4.2335	65.6716%	-	-	-	-	4.2335	65.6716%	0.0000%
PrimeNet	2⁶³	0.2274	63.4921%	30000	800000	0.0227	3.3150%	0.2501	64.7023%	1.2102%
GPU72	2⁶⁷	4.2335	65.6716%	45000	900000	0.0290	2.2415%	4.2625	66.4411%	0.7695%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2415%	-0.0290	-0.7695%	-0.7695%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

4.2335

65.6716%

4.2335

65.6716%

0.0000%

PrimeNet

2⁶³

0.2274

63.4921%

30000

800000

0.0227

3.3150%

0.2501

64.7023%

1.2102%

GPU72

2⁶⁷

4.2335

65.6716%

45000

900000

0.0290

2.2415%

4.2625

66.4411%

0.7695%

Difference

-45000

-900000

-0.0290

-2.2415%

-0.0290

-0.7695%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
7018747	72896706343	11	36.085	5193 3² × 577	-	9	577	1.466e-9	1.263e-5	1.861e-5
7018747	86751712921	11	36.336	6180 2² × 3 × 5 × 103	2008-09-08	5	103	1.745e-9	3.269e-6	3.269e-6
7018747	13104296202498310039	20	63.507	933521054577 3 × 19 × 16377562361	2017-03-03	19	16377562361	0.3180	282.13	526.93

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

7018747

72896706343

36.085

5193
3² × 577

577

1.466e-9

1.263e-5

1.861e-5

7018747

86751712921

36.336

6180
2² × 3 × 5 × 103

2008-09-08

103

1.745e-9

3.269e-6

7018747

13104296202498310039

63.507

933521054577
3 × 19 × 16377562361

2017-03-03

16377562361

0.3180

282.13

526.93

exponent	prime factors	composite factor	digits	bits*
7018747	72896706343 86751712921	6323914141554375757903	22	72.421
7018747	72896706343 13104296202498310039	955260032105209369866751877377	30	99.592
7018747	86751712921 13104296202498310039	1136820142190883875490980313919	31	99.843
7018747	72896706343 86751712921 13104296202498310039	82870444070096366523279766888947298488217	41	135.928

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T03:08:00	Will Edgington	Manual testing	?	?	86751712921	36.336	11	4.40420e-10	3.337	9.60294e-10
2017-03-03T17:08:11	TJAOI	Manual testing	2⁶³	2⁶⁴*	13104296202498310039	63.507	20	0.091	3.110	0.184

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-11T00:44:28

kkmrkkblmbrbk

Manual testing

72896706343

86751712921

13104296202498310039

2038A228FEEA2D__

2019-03-08T10:03:27

Cubox

Phoenix

72896706343

86751712921

13104296202498310039

2038A228FEEA2D69

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁷

2⁶⁴

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