M49408237 Mersenne number exponent details

Residue

Status

L-L

4EC7DBC8CEC6B912

double-checked

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	309.7458	65.7895%	575000	15237500	3.6494	3.2184%	313.3952	69.0078%	6.6890%
PrimeNet	2⁶⁹	2.4163	62.3188%	220000	9000000	1.8551	5.1241%	4.2714	67.4429%	5.1241%
GPU72	2⁷³	38.7151	64.3836%	320000	10000000	2.2509	3.6771%	40.9660	68.0607%	3.6771%
Difference	+3	+271.0307	+1.4059%	+255000	+5237500	+1.3984	-0.4588%	+272.4292	+0.9471%	+0.9471%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

309.7458

65.7895%

575000

15237500

3.6494

3.2184%

313.3952

69.0078%

6.6890%

PrimeNet

2⁶⁹

2.4163

62.3188%

220000

9000000

1.8551

5.1241%

4.2714

67.4429%

5.1241%

GPU72

2⁷³

38.7151

64.3836%

320000

10000000

2.2509

3.6771%

40.9660

68.0607%

3.6771%

Difference

+271.0307

+1.4059%

+255000

+5237500

+1.3984

-0.4588%

+272.4292

+0.9471%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2010-01-28T13:25:00	St.Mary'sUnivWISELAB	w2	575000	15237500		-		-	-	3.649	-	-	3.218%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2010-01-28T13:25:00

St.Mary'sUnivWISELAB

575000

15237500

3.649

-

-

3.218%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-11-28T00:00:00	Team Prime Rib	v4_computers	?	2⁵⁹		-	-	0.001	-	-
2007-08-14T00:00:00	1997rj7	v4_computers	?	2⁶³		-	-	0.020	-	-
2008-06-03T14:50:00	ANONYMOUS	Manual testing	?	2⁶⁴		-	-	0.040	-	-
2008-07-25T00:00:00	andreasbomke	v4_computers	2⁶⁴	2⁶⁵		-	-	0.076	-	-
2008-07-25T00:00:00	andreasbomke	v4_computers	2⁶⁵	2⁶⁶		-	-	0.151	-	-
2008-07-25T00:00:00	andreasbomke	v4_computers	2⁶⁶	2⁶⁷		-	-	0.302	-	-
2008-07-25T00:00:00	andreasbomke	v4_computers	2⁶⁷	2⁶⁸		-	-	0.605	-	-
2008-07-25T00:00:00	andreasbomke	v4_computers	2⁶⁸	2⁶⁹		-	-	1.210	-	-
2015-08-20T22:00:00	Gordon Spence	Manual testing	2⁶⁹	2⁷⁰		-	-	2.420	-	-
2015-11-01T18:31:58	Mark Rose	Manual testing	2⁷⁰	2⁷¹		-	-	4.840	-	-
2015-11-24T18:28:11	monst	Manual testing	2⁷¹	2⁷²		-	-	9.68	-	-
2017-09-14T20:45:07	Sid & Andy	Manual testing	2⁷²	2⁷³		-	-	19.36	-	-
2019-09-13T21:34:13	Jon Pace	Manual testing	2⁷³	2⁷⁴		-	-	38.72	-	-
2020-12-21T10:32:15	-Anonymous-	Manual testing	2⁷⁴	2⁷⁵		-	-	77.44	-	-
2020-12-23T15:22:54	-Anonymous-	Manual testing	2⁷⁵	2⁷⁶		-	-	154.9	-	-

date	userid	compid	res64	spent (GHz-days)
2010-03-30T05:32:00	St.Mary'sUnivWISELAB	w2	4EC7DBC8CEC6B912	90.51
2017-04-07T07:32:41	ANONYMOUS		4EC7DBC8CEC6B912	90.51

date

userid

compid

res64

spent (GHz-days)

2010-03-30T05:32:00

St.Mary'sUnivWISELAB

4EC7DBC8CEC6B912

90.51

2017-04-07T07:32:41

ANONYMOUS

4EC7DBC8CEC6B912

90.51

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 = 575000, B2 = 15237500 (stage 2)

B1 = 575000 (stage 1)

10⁴

10⁵

10⁶

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	<	123M	PrimeNet wavefront