M1911289 Mersenne number exponent details

Residue

Status

L-L

D6C9BC7430F1B33D

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	15.5465	68.6567%	2000000	262000000	1.2716	9.2380%	16.8182	71.5522%	2.8955%
PrimeNet	2⁵⁷	0.0100	63.1579%	9000	160000	0.0014	3.0413%	0.0114	64.2784%	1.1205%
GPU72	2⁶¹	0.1607	65.5738%	10000	170000	0.0015	1.7599%	0.1622	66.1797%	0.6059%
Difference	+6	+15.3858	+3.0829%	+1990000	+261830000	+1.2701	+7.4780%	+16.6560	+5.3725%	+5.3725%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

15.5465

68.6567%

2000000

262000000

1.2716

9.2380%

16.8182

71.5522%

2.8955%

PrimeNet

2⁵⁷

0.0100

63.1579%

9000

160000

0.0014

3.0413%

0.0114

64.2784%

1.1205%

GPU72

2⁶¹

0.1607

65.5738%

10000

170000

0.0015

1.7599%

0.1622

66.1797%

0.6059%

Difference

+15.3858

+3.0829%

+1990000

+261830000

+1.2701

+7.4780%

+16.6560

+5.3725%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1911289	1148438936148444041	19	59.994	300435710180 2² × 5 × 15021785509	-	5	15021785509	0.0602	64.380	120.24
1911289	205295949569977052393	21	67.476	53706150553364 2² × 1212989 × 11068969	2020-11-30	1212989	11068969	30.928	0.1377	0.1942
1911289	24789757075474728332231791	26	84.358	6485088617020955055 3 × 5 × 1657 × 2333 × 141773 × 788849	2015-09-24	141773	788849	3,227,858	0.0139	0.0227

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1911289

1148438936148444041

59.994

300435710180
2² × 5 × 15021785509

15021785509

0.0602

64.380

120.24

1911289

205295949569977052393

67.476

53706150553364
2² × 1212989 × 11068969

2020-11-30

1212989

11068969

30.928

0.1377

0.1942

1911289

24789757075474728332231791

84.358

6485088617020955055
3 × 5 × 1657 × 2333 × 141773 × 788849

2015-09-24

141773

788849

3,227,858

0.0139

0.0227

exponent	prime factors	composite factor	digits	bits*
1911289	1148438936148444041 205295949569977052393	235769861919729063949732779782485640113	39	127.471
1911289	1148438936148444041 24789757075474728332231791	28469522243136560416449143228428053604707431	44	144.352
1911289	205295949569977052393 24789757075474728332231791	5089236718418641645900314507282580049427225863	46	151.834
1911289	1148438936148444041 205295949569977052393 24789757075474728332231791	58446776027083032784706882504573042519309807909783 58910523432383	64	211.829

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-09-24T16:54:59	alpertron	Manual testing	500000	15000000	12		24789757075474728332231791	26	84.358	0.101	0.207	0.203	5.095%
2021-04-07T11:49:45	Dylan Delgado	desktoplinux	1000000	71000000		-	skipped known factor: 24789757075474728332231791	-	-	0.379	-	-	7.166%
2021-07-03T19:24:49	Dylan Delgado	laptop-i78750	2000000	262000000		-	skipped known factor: 205295949569977052393 skipped known factor: 24789757075474728332231791	-	-	1.272	-	-	9.238%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1998-02-19T00:00:00	Wayne Yeung	v4_computers	2¹	2⁵⁷		-	-	0.010	-	-
2003-01-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

1998-02-19T00:00:00

Wayne Yeung

v4_computers

2¹

2⁵⁷

0.010

-

-

2003-01-09T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.020

-

-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.832 GHz-days
Estimated T-Level:	24.607

Digits	B1	Curves	Complete	FacMiss
20	11000	258 / 100	2.580	7.480%
25	50000	258 / 280	0.921	39.729%

New Calculation Method

Total ECM effort:	19.832 GHz-days
Estimated T-Level:	24.607

Digits	B1	Complete	FacMiss
20	11000	8.803	0.015%
25	50000	0.797	45.048%
30	250000	0.049	95.187%
35	1000000	0.002	99.773%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		39	2.707
50000	5000000	205295949569977052393	3	0.208
50000	6600000		216	16.92

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-08-04T08:43:41	Richard B. Woods	Puttputt	50000	5000000						1	0.069
2018-05-02T05:46:19	Oliver Kruse	ECM-HTC	50000	5000000						3	0.208
2020-10-02T11:45:22	nordi	sweet16	50000	5000000						7	0.486
2020-11-30T12:34:53	nordi	sweet16	50000	5000000	205295949569977052393	67.476	3	2	5088164353487427	3	0.208
2021-01-19T11:26:03	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.486
2021-04-22T00:24:13	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.486
2021-08-01T21:00:52	_p95holder_	TFL17_PRPt12pE_k	50000	5000000						7	0.486
2021-10-22T08:59:48	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						7	0.486
2022-02-03T11:48:35	TJAOI	Manual testing	50000	6600000						216	16.92

date	userid	compid	res64	spent (GHz-days)
1998-02-19T00:00:00	Wayne Yeung	v4_computers	D6C9BC7430F1B33D	0.104
1998-12-21T00:00:00	Smegheads	v4_computers	D6C9BC7430F1B33D	0.104

date

userid

compid

res64

spent (GHz-days)

1998-02-19T00:00:00

Wayne Yeung

v4_computers

D6C9BC7430F1B33D

0.104

1998-12-21T00:00:00

Smegheads

v4_computers

D6C9BC7430F1B33D

0.104

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-04T21:16:52

Oliver Kruse

GTX-0

1148438936148444041

24789757075474728332231791

AFBAED084E117849

2017-10-05T21:07:50

Oliver Kruse

Manual testing

1148438936148444041

24789757075474728332231791

AFBAED084E1178__

2017-11-15T10:49:29

kkmrkkblmbrbk

c4.xlarge

1148438936148444041

24789757075474728332231791

AFBAED084E1178__

2020-12-01T09:14:59

Poao

pc-Home

1148438936148444041

205295949569977052393

24789757075474728332231791

002808CAE61FAB9C

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 = 2000000, B2 = 262000000 (P-1 stage 2)

B1 = 1000000, B2 = 71000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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