M18305459 Mersenne number exponent details

Residue

Status

L-L

45EEAA1780E9FFCA

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	2⁷³	104.4958	65.7534%	220000	5280000	0.4372	2.6483%	104.9331	66.6604%	0.9069%
PrimeNet	2⁶⁵	0.3986	61.5385%	80000	2600000	0.1917	4.6523%	0.5902	63.3278%	1.7893%
GPU72	2⁶⁹	6.5219	63.7681%	130000	3600000	0.2814	3.4617%	6.8034	65.0224%	1.2543%
Difference	+4	+97.9739	+1.9853%	+90000	+1680000	+0.1558	-0.8135%	+98.1297	+1.6380%	+1.6380%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

104.4958

65.7534%

220000

5280000

0.4372

2.6483%

104.9331

66.6604%

0.9069%

PrimeNet

2⁶⁵

0.3986

61.5385%

80000

2600000

0.1917

4.6523%

0.5902

63.3278%

1.7893%

GPU72

2⁶⁹

6.5219

63.7681%

130000

3600000

0.2814

3.4617%

6.8034

65.0224%

1.2543%

Difference

+97.9739

+1.9853%

+90000

+1680000

+0.1558

-0.8135%

+98.1297

+1.6380%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-27T00:00:00	Team Prime Rib	v4_computers	220000	5280000		-		-	-	0.437	-	-	2.648%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-10-25T00:00:00	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-11-24T00:00:00	Net_Force	v4_computers	2¹	2⁵⁹		-	-	0.004	-	-
2002-03-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁶		-	-	0.807	-	-
2014-08-13T03:09:00	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.816	-	-
2017-09-14T08:54:46	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.633	-	-
2017-09-14T08:54:46	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.266	-	-
2020-02-23T21:55:16	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	6.532	-	-
2021-05-29T11:31:08	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	13.06	-	-
2021-05-29T11:31:08	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	26.13	-	-
2021-05-30T10:54:55	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	52.25	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.925 GHz-days
Estimated T-Level:	0.050

Digits	B1	Curves	Complete	FacMiss
20	11000	1 / 100	0.010	99.000%
25	50000	1 / 280	0.004	99.643%

New Calculation Method

Total ECM effort:	0.925 GHz-days
Estimated T-Level:	0.050

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.925

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-12-02T03:12:10	tottenhoff	2013pc	50000	5000000						1	0.925

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-03-16T00:00:00	Team Prime Rib	v4_computers	45EEAA1780E9FFCA	11.14
2006-11-28T00:00:00	ANONYMOUS	v4_computers	45EEAA1780E9FFCA	11.14

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 = 220000, B2 = 5280000 (P-1 stage 2)

B1 = 220000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

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