M4800623 Mersenne number exponent details

Residue

Status

L-L

BBD479984ADF8A04

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	2⁷²	199.2103	68.0556%	420000	10920000	0.1894	3.1884%	199.3997	69.0741%	1.0185%
PrimeNet	2⁶¹	0.0640	62.2951%	20000	450000	0.0083	3.2248%	0.0723	63.5110%	1.2159%
GPU72	2⁶⁵	1.5197	64.6154%	32000	650000	0.0125	2.3222%	1.5323	65.4371%	0.8217%
Difference	+7	+197.6906	+3.4402%	+388000	+10270000	+0.1769	+0.8661%	+197.8674	+3.6370%	+3.6370%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷²

199.2103

68.0556%

420000

10920000

0.1894

3.1884%

199.3997

69.0741%

1.0185%

PrimeNet

2⁶¹

0.0640

62.2951%

20000

450000

0.0083

3.2248%

0.0723

63.5110%

1.2159%

GPU72

2⁶⁵

1.5197

64.6154%

32000

650000

0.0125

2.3222%

1.5323

65.4371%

0.8217%

Difference

+197.6906

+3.4402%

+388000

+10270000

+0.1769

+0.8661%

+197.8674

+3.6370%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-08-28T19:57:00	Carsten Kossendey	durandal	30000	420000		-		-	-	0.010	-	-	0.756%
2013-11-29T23:25:00	David Campeau	i5-2500k	420000	10920000		-		-	-	0.189	-	-	3.188%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:39:00	Mark Rose	Manual testing	2¹	2⁶¹		-	-	0.064	-	-
2010-05-13T20:52:00	markr	Manual testing	2⁶¹	2⁶²		-	-	0.064	-	-
2011-09-28T18:56:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.332	-	-
2016-02-23T16:39:00	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.204	-	-
2015-01-03T18:51:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.409	-	-
2015-01-03T18:51:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	0.778	-	-
2015-07-17T22:44:00	snme2pm1	Manual testing	2⁶⁵	2⁶⁶		-	-	1.557	-	-
2017-11-17T15:13:43	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	3.113	-	-
2018-05-08T11:46:17	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	6.226	-	-
2020-12-02T16:23:50	-Anonymous-	Manual testing	2⁶⁸	2⁶⁹		-	-	12.45	-	-
2020-12-02T16:23:50	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	24.91	-	-
2020-12-02T16:23:50	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	49.81	-	-
2020-12-06T12:31:04	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	99.6	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.784 GHz-days
Estimated T-Level:	0.450

Digits	B1	Curves	Complete	FacMiss
20	11000	9 / 100	0.090	91.352%
25	50000	9 / 280	0.032	96.831%

New Calculation Method

Total ECM effort:	1.784 GHz-days
Estimated T-Level:	0.450

Digits	B1	Complete	FacMiss
20	11000	0.346	70.740%
25	50000	0.032	96.848%
30	250000	0.002	99.798%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		9	1.784

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-03-18T21:38:00	PVasilev	cdg35srv0	50000	5000000						3	0.595
2013-12-20T22:32:00	exhopp	9007	50000	5000000						3	0.595
2017-03-16T23:52:26	bayanne	iMac	50000	5000000						3	0.595

date	userid	compid	res64	spent (GHz-days)
1998-10-25T00:00:00	mhoney	v4_computers	BBD479984ADF8A04	0.632
2000-07-12T00:00:00	ANONYMOUS	v4_computers	BBD479984ADF8A04	0.632

date

userid

compid

res64

spent (GHz-days)

1998-10-25T00:00:00

mhoney

v4_computers

BBD479984ADF8A04

0.632

2000-07-12T00:00:00

ANONYMOUS

v4_computers

BBD479984ADF8A04

0.632

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 = 420000, B2 = 10920000 (P-1 stage 2)

B1 = 420000 (P-1 stage 1)

B1 = 30000, B2 = 420000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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