M1833079 Mersenne number exponent details

Residue

Status

L-L

251C2700EB9AD888

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	16.2098	68.6567%	500000	15000000	0.1015	5.0696%	16.3113	70.2457%	1.5890%
PrimeNet	2⁵⁷	0.0105	63.1579%	8000	150000	0.0012	2.8800%	0.0117	64.2190%	1.0611%
GPU72	2⁶¹	0.1676	65.5738%	9000	140000	0.0013	1.5951%	0.1688	66.1229%	0.5491%
Difference	+6	+16.0423	+3.0829%	+491000	+14860000	+0.1002	+3.4745%	+16.1425	+4.1228%	+4.1228%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

16.2098

68.6567%

500000

15000000

0.1015

5.0696%

16.3113

70.2457%

1.5890%

PrimeNet

2⁵⁷

0.0105

63.1579%

8000

150000

0.0012

2.8800%

0.0117

64.2190%

1.0611%

GPU72

2⁶¹

0.1676

65.5738%

9000

140000

0.0013

1.5951%

0.1688

66.1229%

0.5491%

Difference

+16.0423

+3.0829%

+491000

+14860000

+0.1002

+3.4745%

+16.1425

+4.1228%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1833079	186279062566210301518063	24	77.302	50810429492185089 3 × 16936809830728363	2014-05-08	3	16936809830728363	32,127	72,586,933	135,572,176

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1833079

186279062566210301518063

77.302

50810429492185089
3 × 16936809830728363

2014-05-08

16936809830728363

32,127

72,586,933

135,572,176

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-12T05:42:00	Carsten Kossendey	leela	100000	1675000		-		-	-	0.015	-	-	2.492%
2016-03-16T12:39:46	alpertron	Manual testing	500000	15000000	12	-		-	-	0.101	-	-	5.070%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2010-04-17T14:28:00	Architects Cubed	a3_lm	2⁶⁰	2⁶¹		-	-	0.084	-	-
2011-01-21T16:11:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.871	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.453 GHz-days
Estimated T-Level:	24.304

Digits	B1	Curves	Complete	FacMiss
20	11000	241 / 100	2.410	8.873%
25	50000	241 / 280	0.861	42.221%

New Calculation Method

Total ECM effort:	18.453 GHz-days
Estimated T-Level:	24.304

Digits	B1	Complete	FacMiss
20	11000	8.230	0.027%
25	50000	0.746	47.446%
30	250000	0.046	95.492%
35	1000000	0.002	99.788%

ECM Summary

B1	B2	factor	curves	GHz-days
		186279062566210301518063	1	0.00000e+0
50000	5000000		36	2.487
50000	6600000		205	15.97

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-04T18:10:00	paulie	iMac3.4	50000	5000000						3	0.207
2009-07-17T04:36:00	James Hintz	14_071509	50000	5000000						3	0.207
2010-11-13T00:45:00	James Hintz	ryan	50000	5000000						3	0.207
2012-08-07T09:07:00	OS1	L3	50000	5000000						3	0.207
2013-08-21T19:05:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-05-08T00:01:00	Chang Chia-Tche	exbpc13			186279062566210301518063	77.302		1		1	-
2020-10-18T17:48:30	nordi	sweet16	50000	5000000						7	0.484
2021-01-08T19:12:34	Lisander Viaene		50000	5000000						7	0.484
2021-01-11T22:43:19	Lisander Viaene	Manual testing	50000	5000000						7	0.484
2021-04-30T08:12:17	TJAOI	Manual testing	50000	6600000						205	15.97

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	Dylan Jones	v4_computers	251C2700EB9AD888	0.099

date

userid

compid

res64

spent (GHz-days)

1999-01-10T00:00:00

Dylan Jones

v4_computers

251C2700EB9AD888

0.099

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 = 100000, B2 = 1675000 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

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