M1 601 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	1000000000000	2232843418649129478	3,591,618.5774	81.4233%	3,591,618.5774	81.4233%
Target	2⁴⁴	0.0015	75.0000%	500	80000	0.0000	0.7072%	0.0015	75.1768%
Difference	-44	-0.0015	-75.0000%	+999999999500	+2232843418649049478	+3,591,618.5774	+80.7162%	+3,591,618.5759	+6.2465%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

unknown

1000000000000

2232843418649129478

3,591,618.5774

81.4233%

3,591,618.5774

81.4233%

Target

2⁴⁴

0.0015

75.0000%

500

80000

0.0000

0.7072%

0.0015

75.1768%

Difference

-44

-0.0015

-75.0000%

+999999999500

+2232843418649049478

+3,591,618.5774

+80.7162%

+3,591,618.5759

+6.2465%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1601	158098751	9	27.236	49375 5⁴ × 79	-	625	625	1.884e-8	1.845e-8	3.755e-8
1601	9839849981808839	16	53.128	3073032474019 283 × 10858771993	2014-04-23	283	10858771993	0.8694	0.0175	0.0326
1601	6629233811254755661010566946657617349801918449	46	152.216	2070341602515538932233156448050473875640824 2³ × 3 × 32069 × 1637495891 × 1642725999975740450093361419	2011-12-13	1637495891	1642725999975740450093361419	1.189e+14	2.642e+15	4.935e+15
1601	651721340802484774748465566059561124091876550241	48	158.835	203535709182537406230001738307170869485283120 2⁴ × 3 × 5 × 7 × 239 × 506913003542880569411241627583111350581	2012-01-01	239	506913003542880569411241627583111350581	8.748e+13	8.154e+26	1.523e+27

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1601

158098751

27.236

49375
5⁴ × 79

625

1.884e-8

1.845e-8

3.755e-8

1601

9839849981808839

53.128

3073032474019
283 × 10858771993

2014-04-23

283

10858771993

0.8694

0.0175

0.0326

1601

6629233811254755661010566946657617349801918449

152.216

2070341602515538932233156448050473875640824
2³ × 3 × 32069 × 1637495891 × 1642725999975740450093361419

2011-12-13

1637495891

1642725999975740450093361419

1.189e+14

2.642e+15

4.935e+15

1601

651721340802484774748465566059561124091876550241

158.835

203535709182537406230001738307170869485283120
2⁴ × 3 × 5 × 7 × 239 × 506913003542880569411241627583111350581

2012-01-01

239

506913003542880569411241627583111350581

8.748e+13

8.154e+26

1.523e+27

exponent	prime factors	composite factor	digits	bits*
1601	158098751 9839849981808839	1555667992151350166660089	25	80.364
1601	158098751 6629233811254755661010566946657617349801918449	10480735856463466128159500320684529276396134041907 57199	55	179.452
1601	158098751 651721340802484774748465566059561124091876550241	10303632998091818058424874516052460532708169183929 0848991	57	186.071
1601	9839849981808839 6629233811254755661010566946657617349801918449	65230666197081647923815954924964310051521278163752 633385370711	62	205.343
1601	9839849981808839 651721340802484774748465566059561124091876550241	64128402234397619731348191626931009117498394751925 98732441380199	64	211.962
1601	158098751 9839849981808839 6629233811254755661010566946657617349801918449	10312886852656528381777045627509156138722259727612 864811188011081081961	71	232.579
1601	158098751 9839849981808839 651721340802484774748465566059561124091876550241	10138620296883872916899104642326450504646108454784 45344043165390178031449	73	239.199
1601	6629233811254755661010566946657617349801918449 651721340802484774748465566059561124091876550241	43204131479641156425460769347686688118967494930324 94322202300657239213121643205907777733296209	94	311.050
1601	158098751 6629233811254755661010566946657617349801918449 651721340802484774748465566059561124091876550241	68305192249710487590609722333683501309353003580832 05547547753032359987027546019216554808197417559349 59	102	338.287
1601	9839849981808839 6629233811254755661010566946657617349801918449 651721340802484774748465566059561124091876550241	42512217235401372144174965250409350369978878386123 30385189982567536734540875655824252258575016623004 3601391351	110	364.178
1601	158098751 9839849981808839 6629233811254755661010566946657617349801918449 651721340802484774748465566059561124091876550241	67211284471576299196802539315581205322150485692269 90070978851416393308775309996321201575896391679012 272055514455302601	118	391.414

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-07	kkmrkkblmbrbk	Manual testing	1000000000	100000000000	12	-	skipped known factor: 158098751 skipped known factor: 9839849981808839	-	-	0.189	-	-	44.340%
2021-03-27	nordi	Manual testing	1000000000000	2232843418649129478		-	skipped known factor: 158098751 skipped known factor: 9839849981808839	-	-	3,591,619	-	-	81.423%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-09-07

kkmrkkblmbrbk

Manual testing

1000000000

100000000000

skipped known factor: 158098751
skipped known factor: 9839849981808839

0.189

-

-

44.340%

2021-03-27

nordi

Manual testing

1000000000000

2232843418649129478

skipped known factor: 158098751
skipped known factor: 9839849981808839

3,591,619

-

-

81.423%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-07-22	ViliamF	3	1000000000	221000000000	2	7			-	-	0.457

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2021-07-22

ViliamF

1000000000

221000000000

0.457

ECM factoring results:

Total ECM effort:	53,333.343 GHz-days
Estimated T-Level:	64.024

Digits	B1	Complete	FacMiss
20	11000	107,210.833	0.000%
25	50000	48,436.450	0.000%
30	250000	18,508.266	0.000%
35	1000000	5,957.559	0.000%
40	3000000	1,695.986	0.000%
45	11000000	437.266	0.000%
50	44000000	102.229	0.000%
55	110000000	21.774	0.000%
60	260000000	4.332	1.314%
65	800000000	0.805	44.720%
70	2400000000	0.137	87.157%
75	7200000000	0.021	97.951%

ECM Summary

B1	B2	factor	curves	GHz-days
		6629233811254755661010566946657617349801918449	1	0.00000e+0
		651721340802484774748465566059561124091876550241	1	0.00000e+0
44000000	4400000000		14,662	274.1
110000000	11000000000		19,431	908.1
260000000	26000000000		58,776	6,492
850000000	85000000000		126,440	45,659

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13	Carsten Kossendey	durandal	44000000	4400000000						1	0.019
2010-12-25	James Hintz	NEW_OMFG	44000000	4400000000						62	1.159
2010-12-30	James Hintz	NEW_OMFG	44000000	4400000000						3	0.056
2010-12-30	ANONYMOUS	13_052010	44000000	4400000000						3	0.056
2011-01-01	James Hintz	NEW_OMFG	44000000	4400000000						3	0.056
2011-01-04	James Hintz	NEW_OMFG	44000000	4400000000						3	0.056
2011-01-06	James Hintz	13_052010	44000000	4400000000						3	0.056
2011-01-06	James Hintz	NEW_OMFG	44000000	4400000000						3	0.056
2011-01-09	James Hintz	lappy_010411	44000000	4400000000						3	0.056
2011-01-10	James Hintz	NEW_OMFG	44000000	4400000000						11	0.206
2011-01-10	James Hintz	17_051310	44000000	4400000000						3	0.056
2011-12-13	Michael Kenn	Manual testing			6629233811254755661010566946657617349801918449	152.216		1		1	-
2012-01-01	Michael Kenn	Manual testing	44000000	4400000000						14022	262.1
2012-01-01	Michael Kenn	Manual testing			651721340802484774748465566059561124091876550241	158.835		1		1	-
2012-02-03	Michael Kenn	Manual testing	44000000	4400000000						528	9.87
2012-02-03	Michael Kenn	Edkar-V	44000000	4400000000						14	0.262
2014-07-09	Matthias Wurtinger	i5-4670K	110000000	11000000000						893	41.73
2019-11-16	Ryan Propper	Manual testing	110000000	11000000000						8244	385.3
2019-11-16	Ryan Propper	Manual testing	260000000	26000000000						25188	2,782
2019-11-16	Ryan Propper	Manual testing	850000000	85000000000						28220	10,191
2019-11-19	Ryan Propper	Manual testing	110000000	11000000000						10294	481.1
2019-11-19	Ryan Propper	Manual testing	260000000	26000000000						33588	3,710
2019-11-19	Ryan Propper	Manual testing	850000000	85000000000						98220	35,468

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 = 1000000000000, B2 = 2232843418649129478 (P-1 stage 2)

B1 = 1000000000000 (P-1 stage 1)

B1 = 1000000000, B2 = 100000000000 (P-1 stage 2)

B1 = 1000000000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

10²¹

10²²

10²³

10²⁴

10²⁵

10²⁶

10²⁷

10²⁸

10²⁹

10³⁰

10³¹

10³²

10³³

10³⁴

10³⁵

10³⁶

10³⁷

10³⁸

10³⁹

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