M600367 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	Prob over default TF
Actual	unknown	1000000	30000000	0.0568	39.9712%	0.0568	39.9712%	39.9712%
PrimeNet	2⁴⁰	0.0000	50.0000%	6000	220000	0.0004	20.5185%	0.0004	60.2592%	10.2592%
GPU72	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4293%	0.0006	61.5588%	7.0133%
Difference	-44	0.0000	-54.5455%	+990000	+29640000	+0.0562	+24.5419%	+0.0562	-21.5875%	-21.5875%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

1000000

30000000

0.0568

39.9712%

0.0568

39.9712%

PrimeNet

2⁴⁰

0.0000

50.0000%

6000

220000

0.0004

20.5185%

0.0004

60.2592%

10.2592%

GPU72

2⁴⁴

0.0000

54.5455%

10000

360000

0.0006

15.4293%

0.0006

61.5588%

7.0133%

Difference

-44

0.0000

-54.5455%

+990000

+29640000

+0.0562

+24.5419%

+0.0562

-21.5875%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
600367	24014681	8	24.517	20 2² × 5	-	4	5	3.739e-12	8.933e-8	1.794e-7
600367	1186325668690625745992316793	28	89.939	988000396999356848388 2² × 3 × 31 × 14551919 × 182513044891	2020-08-04	14551919	182513044891	259,811,115	219.38	409.18

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

600367

24014681

24.517

20
2² × 5

3.739e-12

8.933e-8

1.794e-7

600367

1186325668690625745992316793

89.939

988000396999356848388
2² × 3 × 31 × 14551919 × 182513044891

2020-08-04

14551919

182513044891

259,811,115

219.38

409.18

exponent	prime factors	composite factor	digits	bits*
600367	24014681 1186325668690625745992316793	28489232495717064980392516234838033	35	114.456

exponent

prime factors

composite factor

digits

bits*

600367

24014681
1186325668690625745992316793

28489232495717064980392516234838033

114.456

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-03-17T18:48:47	alpertron	Manual testing	1000000	30000000	12	-	skipped known factor: 24014681	-	-	0.057	-	-	31.458%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-03-17T18:48:47

alpertron

Manual testing

1000000

30000000

skipped known factor: 24014681

0.057

-

-

31.458%

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.250 GHz-days
Estimated T-Level:	25.984

Digits	B1	Curves	Complete	FacMiss
20	11000	497 / 100	4.970	0.677%
25	50000	497 / 280	1.775	16.895%
30	250000	126 / 640	0.197	82.117%

New Calculation Method

Total ECM effort:	18.250 GHz-days
Estimated T-Level:	25.984

Digits	B1	Complete	FacMiss
20	11000	22.468	0.000%
25	50000	2.681	6.851%
30	250000	0.240	78.677%
35	1000000	0.018	98.263%
40	3000000	0.001	99.892%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		371	6.285
250000	25000000		26	2.202
250000	25000000	1186325668690625745992316793	27	2.287
250000	40000000		73	7.475

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-26T15:33:00	Richard B. Woods	Puttputt	50000	5000000						10	0.169
2015-08-21T09:48:00	TJAOI	Manual testing	50000	5000000						90	1.525
2016-04-01T10:51:17	TJAOI	Manual testing	50000	5000000						90	1.525
2016-08-25T15:54:16	Syntony	Itinerant	50000	5000000						90	1.525
2016-09-02T12:16:00	TJAOI	Manual testing	50000	5000000						91	1.542
2018-07-27T12:40:11	TJAOI	Manual testing	250000	25000000						26	2.202
2020-08-04T08:18:16	nordi	sweet16	250000	25000000	1186325668690625745992316793	89.939	27	2	548968575416830	27	2.287
2022-04-28T10:14:20	TJAOI	Manual testing	250000	40000000						73	7.475

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27T12:15:04

Oliver Kruse

GTX-1

24014681

2B1EFC4E443DDA__

2017-09-28T09:43:53

Oliver Kruse

Manual testing

24014681

2B1EFC4E443DDA__

2017-11-09T03:41:00

kkmrkkblmbrbk

c4.large

24014681

2B1EFC4E443DDA__

2020-04-19T13:08:13

Oliver Kruse

AddPrpType5

24014681

A5DDCC227A5402__

2020-08-04T08:38:25

CrypticClue

cruncher

24014681

1186325668690625745992316793

A5DDCC227A540279

2020-08-04T18:09:01

atrench

Desktop

24014681

1186325668690625745992316793

A5DDCC227A540279

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 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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