M100271917 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	2⁷⁶	152.6249	64.4737%	723000	723000	3.9983	1.4957%	156.6232	65.0050%	0.5314%
PrimeNet	2⁷²	9.5374	62.5000%	400000	20000000	8.1175	5.2009%	17.6549	64.4503%	1.9503%
GPU72	2⁷⁶	152.6249	64.4737%	650000	22000000	10.0273	3.8417%	162.6522	65.8385%	1.3648%
Difference	-	-	-	+73000	-21277000	-6.0290	-2.3460%	-6.0290	-0.8335%	-0.8335%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

152.6249

64.4737%

723000

3.9983

1.4957%

156.6232

65.0050%

0.5314%

PrimeNet

2⁷²

9.5374

62.5000%

400000

20000000

8.1175

5.2009%

17.6549

64.4503%

1.9503%

GPU72

2⁷⁶

152.6249

64.4737%

650000

22000000

10.0273

3.8417%

162.6522

65.8385%

1.3648%

Difference

+73000

-21277000

-6.0290

-2.3460%

-6.0290

-0.8335%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
100271917	77514042504246954650663761	26	86.003	386519201105165640 2³ × 3² × 5 × 34583 × 161773 × 191911	2020-09-29	161773	191911	288,223	0.9037	1.8207

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

100271917

77514042504246954650663761

86.003

386519201105165640
2³ × 3² × 5 × 34583 × 161773 × 191911

2020-09-29

161773

191911

288,223

0.9037

1.8207

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-09-29T17:18:59	Jwb52z	Clay	723000	723000			77514042504246954650663761	26	86.003	3.998	764.9	7.997	1.496%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-02-01T00:18:00	1997rj7	Manual testing	2⁶³	2⁶⁴		-	-	0.020	-	-
2010-08-09T11:18:00	Donna Noble	PH9500	2⁶⁴	2⁶⁵		-	-	0.037	-	-
2011-02-07T09:32:00	Craig Meyers	Manual testing	2⁶⁵	2⁶⁶		-	-	0.075	-	-
2011-03-12T19:40:00	Craig Meyers	Manual testing	2⁶⁶	2⁶⁷		-	-	0.149	-	-
2013-08-21T22:23:00	processinfo	Manual testing	2⁶⁷	2⁶⁸		-	-	0.298	-	-
2013-10-27T02:08:00	Special_Ed	oyster	2⁶⁸	2⁶⁹		-	-	0.596	-	-
2013-11-27T12:02:00	Tzar	Tzar	2⁶⁹	2⁷⁰		-	-	1.192	-	-
2014-05-22T21:35:00	Phil	Manual testing	2⁷⁰	2⁷¹		-	-	2.385	-	-
2014-05-22T21:35:00	Phil	Manual testing	2⁷¹	2⁷²		-	-	4.770	-	-
2014-05-22T21:35:00	Phil	Manual testing	2⁷²	2⁷³		-	-	9.54	-	-
2020-02-23T14:23:10	JoDu	Manual testing	2⁷³	2⁷⁴		-	-	19.08	-	-
2020-07-17T11:52:58	schoenborn	Manual testing	2⁷⁴	2⁷⁵		-	-	38.16	-	-
2020-07-23T08:18:02	penlu	Manual testing	2⁷⁵	2⁷⁶		-	-	76.31	-	-

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

B1 = 723000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

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