M1783799 Mersenne number exponent details

Residue

Status

L-L

AA3C2BB17FBA7572

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	16.6577	68.6567%	500000	15000000	0.1015	5.0530%	16.7591	70.2405%	1.5838%
PrimeNet	2⁵⁷	0.0108	63.1579%	8000	140000	0.0012	2.8126%	0.0120	64.1941%	1.0362%
GPU72	2⁶¹	0.1722	65.5738%	8000	130000	0.0012	1.4923%	0.1734	66.0875%	0.5137%
Difference	+6	+16.4855	+3.0829%	+492000	+14870000	+0.1003	+3.5607%	+16.5858	+4.1530%	+4.1530%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

16.6577

68.6567%

500000

15000000

0.1015

5.0530%

16.7591

70.2405%

1.5838%

PrimeNet

2⁵⁷

0.0108

63.1579%

8000

140000

0.0012

2.8126%

0.0120

64.1941%

1.0362%

GPU72

2⁶¹

0.1722

65.5738%

8000

130000

0.0012

1.4923%

0.1734

66.0875%

0.5137%

Difference

+16.4855

+3.0829%

+492000

+14870000

+0.1003

+3.5607%

+16.5858

+4.1530%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1783799	477261517746994503113	21	68.693	133776708515644 2² × 127 × 263339977393	2020-03-18	127	263339977393	40.407	1,128.6	2,107.9
1783799	6293309904877543739466559	25	82.380	1764018789358426521 3 × 103 × 133087 × 42895238987	2009-07-07	133087	42895238987	658,552	183.85	343.36

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1783799

477261517746994503113

68.693

133776708515644
2² × 127 × 263339977393

2020-03-18

127

263339977393

40.407

1,128.6

2,107.9

1783799

6293309904877543739466559

82.380

1764018789358426521
3 × 103 × 133087 × 42895238987

2009-07-07

133087

42895238987

658,552

183.85

343.36

exponent	prime factors	composite factor	digits	bits*
1783799	477261517746994503113 6293309904877543739466559	3003554636854050129661784799884749167884898167	46	151.073

exponent

prime factors

composite factor

digits

bits*

1783799

477261517746994503113
6293309904877543739466559

3003554636854050129661784799884749167884898167

151.073

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-03-16T12:33:36	alpertron	Manual testing	500000	15000000	12	-		-	-	0.101	-	-	5.053%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-03-16T12:33:36

alpertron

Manual testing

500000

15000000

0.101

-

-

5.053%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2003-01-25T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.022

-

-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.632 GHz-days
Estimated T-Level:	24.571

Digits	B1	Curves	Complete	FacMiss
20	11000	256 / 100	2.560	7.631%
25	50000	256 / 280	0.914	40.015%

New Calculation Method

Total ECM effort:	17.632 GHz-days
Estimated T-Level:	24.571

Digits	B1	Complete	FacMiss
20	11000	9.846	0.005%
25	50000	0.911	40.211%
30	250000	0.057	94.416%
35	1000000	0.003	99.732%

ECM Summary

B1	B2	factor	curves	GHz-days
		6293309904877543739466559	1	0.00000e+0
50000	5000000		255	17.56
50000	5000000	477261517746994503113	1	0.069

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-31T18:41:00	Scott Kurowski	HomeOffice	50000	5000000						3	0.207
2009-07-07T17:55:00	SubPrime	stor			6293309904877543739466559	82.380		1		1	-
2020-03-05T18:44:17	Niels_Mache_Nextcloud	SuperDry-Y	50000	5000000						3	0.207
2020-03-18T13:08:33	Niels_Mache_Nextcloud	SuperDry-Y	50000	5000000	477261517746994503113	68.693	1	2	8079006276259491	1	0.069
2020-03-22T23:39:50	Niels_Mache_Nextcloud	SuperDry-Y	50000	5000000						3	0.207
2020-04-30T17:14:50	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						3	0.207
2020-05-22T08:32:59	kracker	O0	50000	5000000						3	0.207
2020-06-24T13:41:04	nordi	sweet16	50000	5000000						3	0.207
2020-07-21T20:04:03	_p95holder_	TFL17_PRPt12pE_k	50000	5000000						3	0.207
2020-09-22T04:08:10	_p95holder_	TFL1_PRPt8pE_n	50000	5000000						7	0.482
2020-10-30T10:29:14	TJAOI	Manual testing	50000	5000000						227	15.63

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	AA3C2BB17FBA7572	0.097

date

userid

compid

res64

spent (GHz-days)

1999-03-01T00:00:00

ANONYMOUS

v4_computers

AA3C2BB17FBA7572

0.097

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-03T14:45:36

Oliver Kruse

GTX-1

6293309904877543739466559

0594E9234F10E6__

2017-11-05T02:55:20

kkmrkkblmbrbk

old

6293309904877543739466559

0594E9234F10E6__

2020-03-18T17:27:08

mrh.org

477261517746994503113

6293309904877543739466559

7E69063941CB8510

2020-03-19T17:23:38

marssystems

SYSTEM01

477261517746994503113

6293309904877543739466559

7E69063941CB8510

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)

10¹

10²

10³

10⁴

10⁵

10⁶

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