M3577517 Mersenne number exponent details

Residue

Status

L-L

CEC1983E4CF647CA

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	8.3057	67.1642%	100000	130364850	1.0961	5.9723%	9.4018	69.1252%	1.9611%
PrimeNet	2⁶⁰	0.0429	63.3333%	15000	300000	0.0046	2.9719%	0.0476	64.4230%	1.0897%
GPU72	2⁶⁴	0.9949	65.6250%	20000	400000	0.0062	1.9782%	1.0011	66.3050%	0.6800%
Difference	+3	+7.3108	+1.5392%	+80000	+129964850	+1.0899	+3.9941%	+8.4007	+2.8202%	+2.8202%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

8.3057

67.1642%

100000

130364850

1.0961

5.9723%

9.4018

69.1252%

1.9611%

PrimeNet

2⁶⁰

0.0429

63.3333%

15000

300000

0.0046

2.9719%

0.0476

64.4230%

1.0897%

GPU72

2⁶⁴

0.9949

65.6250%

20000

400000

0.0062

1.9782%

1.0011

66.3050%

0.6800%

Difference

+7.3108

+1.5392%

+80000

+129964850

+1.0899

+3.9941%

+8.4007

+2.8202%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3577517	80171199736997937209	20	66.120	11204866355212 2² × 61² × 752812843	2015-07-11	3721	752812843	7.8102	6.2468	11.666

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

3577517

80171199736997937209

66.120

11204866355212
2² × 61² × 752812843

2015-07-11

3721

752812843

7.8102

6.2468

11.666

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-09T04:58:00	Carsten Kossendey	leela	20000	245000		-		-	-	0.005	-	-	1.112%
2011-12-25T01:17:00	Squeeky_Squirrel	P4_2600	85000	1572500		-		-	-	0.025	-	-	2.636%
2022-03-01T15:51:36	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.015	-	-	1.012%
2022-05-26T12:47:35	Jocelyn Larouche	Manual testing	100000	130364850		-		-	-	1.096	-	-	5.972%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-03-15T08:11:00	S485122	USB-Z	2⁶⁰	2⁶¹		-	-	0.043	-	-
2011-06-16T03:59:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.086	-	-
2012-07-02T04:04:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.446	-	-
2015-01-30T19:16:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.549	-	-
2015-01-30T19:16:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.044	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.888 GHz-days
Estimated T-Level:	0.300

Digits	B1	Curves	Complete	FacMiss
20	11000	6 / 100	0.060	94.148%
25	50000	6 / 280	0.021	97.876%

New Calculation Method

Total ECM effort:	0.888 GHz-days
Estimated T-Level:	0.300

Digits	B1	Complete	FacMiss
20	11000	0.231	79.392%
25	50000	0.021	97.887%
30	250000	0.001	99.865%

ECM Summary

B1	B2	factor	curves	GHz-days
		80171199736997937209	1	0.00000e+0
50000	5000000		6	0.888

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-08-01T19:27:00	zampel	malissol	50000	5000000						3	0.444
2012-04-19T22:04:00	GrunwalderGIMP	vangelis	50000	5000000						3	0.444
2015-07-11T13:58:00	Sid & Andy	Emperor_Zurg			80171199736997937209	66.120		1		1	-

date	userid	compid	res64	spent (GHz-days)
1999-10-21T00:00:00	ANONYMOUS	v4_computers	CEC1983E4CF647CA	0.376

date

userid

compid

res64

spent (GHz-days)

1999-10-21T00:00:00

ANONYMOUS

v4_computers

CEC1983E4CF647CA

0.376

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-09T17:25:54

kkmrkkblmbrbk

c4.large

80171199736997937209

49C81B26D1D516__

2017-11-25T07:26:36

Oliver Kruse

Threadripper

80171199736997937209

49C81B26D1D516__

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 = 100000, B2 = 130364850 (P-1 stage 2)

B1 = 85000, B2 = 1572500 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 85000 (P-1 stage 1)

B1 = 20000, B2 = 245000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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