M6920833 Mersenne number exponent details

Residue

Status

L-L

E8D7F2B2C6515DF2

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	2⁶⁷	4.2934	65.6716%	130000	2827500	0.0876	3.5757%	4.3810	66.8991%	1.2275%
PrimeNet	2⁶³	0.2306	63.4921%	28000	700000	0.0204	3.1601%	0.2510	64.6457%	1.1537%
GPU72	2⁶⁷	4.2934	65.6716%	45000	900000	0.0290	2.2363%	4.3224	66.4393%	0.7677%
Difference	-	-	-	+85000	+1927500	+0.0586	+1.3394%	+0.0586	+0.4598%	+0.4598%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

4.2934

65.6716%

130000

2827500

0.0876

3.5757%

4.3810

66.8991%

1.2275%

PrimeNet

2⁶³

0.2306

63.4921%

28000

700000

0.0204

3.1601%

0.2510

64.6457%

1.1537%

GPU72

2⁶⁷

4.2934

65.6716%

45000

900000

0.0290

2.2363%

4.3224

66.4393%

0.7677%

Difference

+85000

+1927500

+0.0586

+1.3394%

+0.0586

+0.4598%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6920833	24874054979712466631	20	64.431	1797041987555 5 × 359408397511	2012-08-24	5	359408397511	0.6095	6,191.3	11,564

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

6920833

24874054979712466631

64.431

1797041987555
5 × 359408397511

2012-08-24

359408397511

0.6095

6,191.3

11,564

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-08-31T00:00:00	ANONYMOUS	v4_computers	35000	341250		-		-	-	0.016	-	-	1.619%
2011-11-22T15:32:00	James Heinrich	i7-920	130000	2827500		-		-	-	0.088	-	-	3.576%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.089	-	-
2004-10-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.231	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Curves	Complete	FacMiss

New Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		24874054979712466631	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2012-08-24T08:24:00	JimBa	Dell			24874054979712466631	64.431		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-07-30T00:00:00	ANONYMOUS	v4_computers	E8D7F2B2C6515DF2	1.509
2001-11-03T00:00:00	ANONYMOUS	v4_computers	E8D7F2B2C6515DF2	1.509

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-25T20:34:47

Ruzovej

Acer_Osek

24874054979712466631

595E5DEDE0D589__

2019-01-25T12:52:34

kkmrkkblmbrbk

c5.large

24874054979712466631

595E5DEDE0D58988

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 = 130000, B2 = 2827500 (P-1 stage 2)

B1 = 130000 (P-1 stage 1)

B1 = 35000, B2 = 341250 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶²

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