M1776013 Mersenne number exponent details

Residue

Status

L-L

32DC37438B795632

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	16.7307	68.6567%	500000	15000000	0.1015	5.0503%	16.8322	70.2397%	1.5829%
PrimeNet	2⁵⁷	0.0108	63.1579%	8000	140000	0.0012	2.8103%	0.0120	64.1933%	1.0354%
GPU72	2⁶¹	0.1730	65.5738%	8000	120000	0.0011	1.4554%	0.1741	66.0748%	0.5010%
Difference	+6	+16.5577	+3.0829%	+492000	+14880000	+0.1004	+3.5949%	+16.6581	+4.1648%	+4.1648%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

16.7307

68.6567%

500000

15000000

0.1015

5.0503%

16.8322

70.2397%

1.5829%

PrimeNet

2⁵⁷

0.0108

63.1579%

8000

140000

0.0012

2.8103%

0.0120

64.1933%

1.0354%

GPU72

2⁶¹

0.1730

65.5738%

8000

120000

0.0011

1.4554%

0.1741

66.0748%

0.5010%

Difference

+16.5577

+3.0829%

+492000

+14880000

+0.1004

+3.5949%

+16.6581

+4.1648%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1776013	9409230824923473511675529	25	82.960	2648975774649023828 2² × 941 × 703766146293577	2013-06-09	941	703766146293577	552,452	3,016,166	5,633,358

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1776013

9409230824923473511675529

82.960

2648975774649023828
2² × 941 × 703766146293577

2013-06-09

941

703766146293577

552,452

3,016,166

5,633,358

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:39:00	Carsten Kossendey	leela	95000	1615000		-		-	-	0.014	-	-	2.434%
2016-03-16T12:31:55	alpertron	Manual testing	500000	15000000	12	-		-	-	0.101	-	-	5.050%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2010-04-19T13:16:00	Architects Cubed	m1_tt	2⁶⁰	2⁶¹		-	-	0.086	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.899	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.141 GHz-days
Estimated T-Level:	24.446

Digits	B1	Curves	Complete	FacMiss
20	11000	249 / 100	2.490	8.188%
25	50000	249 / 280	0.889	41.030%

New Calculation Method

Total ECM effort:	17.141 GHz-days
Estimated T-Level:	24.446

Digits	B1	Complete	FacMiss
20	11000	8.032	0.032%
25	50000	0.726	48.387%
30	250000	0.045	95.628%
35	1000000	0.002	99.796%

ECM Summary

B1	B2	factor	curves	GHz-days
		9409230824923473511675529	1	0.00000e+0
50000	5000000		249	17.14

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-15T05:59:00	paulie	iMac3.4	50000	5000000						3	0.207
2009-07-07T19:30:00	Piepen	T41-2000	50000	5000000						3	0.207
2010-12-21T05:50:00	Lupo	yorick	50000	5000000						3	0.207
2012-02-10T17:41:00	sbalamut	steve	50000	5000000						3	0.207
2013-06-09T17:05:00	Chang Chia-Tche	exbpc13			9409230824923473511675529	82.960		1		1	-
2020-05-02T14:39:31	Greg Hogan	azure4	50000	5000000						3	0.207
2020-05-30T17:08:31	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						3	0.207
2020-06-28T18:38:12	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						3	0.207
2020-07-25T15:16:09	Ahmed Azhad	c5.4xlarge.azf	50000	5000000						3	0.207
2020-09-25T08:56:04	TJAOI	Manual testing	50000	5000000						225	15.49

date	userid	compid	res64	spent (GHz-days)
1998-11-28T00:00:00	ANONYMOUS	v4_computers	32DC37438B795632	0.096

date

userid

compid

res64

spent (GHz-days)

1998-11-28T00:00:00

ANONYMOUS

v4_computers

32DC37438B795632

0.096

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 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 95000, B2 = 1615000 (P-1 stage 2)

B1 = 95000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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