M4983647 Mersenne number exponent details

Residue

Status

L-L

2BA528BD27043DE7

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	191.8943	68.0556%	190000	5082500	0.0918	2.3719%	191.9861	68.8132%	0.7577%
PrimeNet	2⁶¹	0.0616	62.2951%	22000	450000	0.0091	3.3114%	0.0707	63.5437%	1.2486%
GPU72	2⁶⁵	1.4639	64.6154%	34000	700000	0.0141	2.4147%	1.4781	65.4698%	0.8544%
Difference	+7	+190.4304	+3.4402%	+156000	+4382500	+0.0776	-0.0428%	+190.5080	+3.3434%	+3.3434%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷²

191.8943

68.0556%

190000

5082500

0.0918

2.3719%

191.9861

68.8132%

0.7577%

PrimeNet

2⁶¹

0.0616

62.2951%

22000

450000

0.0091

3.3114%

0.0707

63.5437%

1.2486%

GPU72

2⁶⁵

1.4639

64.6154%

34000

700000

0.0141

2.4147%

1.4781

65.4698%

0.8544%

Difference

+190.4304

+3.4402%

+156000

+4382500

+0.0776

-0.0428%

+190.5080

+3.3434%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-06-11T00:00:00	ANONYMOUS	v4_computers	25000	275000		-		-	-	0.008	-	-	0.624%
2011-07-22T04:08:00	harlee	P4_2600	60000	990000		-		-	-	0.022	-	-	1.209%
2016-06-18T16:04:59	Squeeky_Squirrel	P4_2600	190000	5082500	6	-		-	-	0.092	-	-	2.372%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-05-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.062	-	-
1998-08-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.062	-	-
2009-12-03T22:55:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.062	-	-
2011-11-13T15:27:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.320	-	-
2016-02-23T16:39:06	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.197	-	-
2014-12-26T11:20:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.394	-	-
2014-12-26T11:20:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	0.750	-	-
2015-07-31T01:17:00	snme2pm1	Manual testing	2⁶⁵	2⁶⁶		-	-	1.499	-	-
2017-05-21T19:23:16	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	2.999	-	-
2018-06-05T09:54:14	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	5.998	-	-
2021-02-08T11:47:29	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	12.00	-	-
2021-04-23T17:19:43	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	23.99	-	-
2021-04-24T17:39:58	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	47.98	-	-
2021-04-25T12:55:05	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	95.96	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.895 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:	1.895 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	1.895

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-06-02T16:05:00	Lukasz Wrobel	4_x_4	50000	5000000						3	0.632
2014-04-26T11:57:00	bunddog	debian	50000	5000000						3	0.632
2017-06-04T12:05:17	bayanne	iMac	50000	5000000						3	0.632

date	userid	compid	res64	spent (GHz-days)
1998-09-13T00:00:00	ANONYMOUS	v4_computers	2BA528BD27043DE7	0.691
2001-10-20T00:00:00	Ice_9	v4_computers	2BA528BD27043DE7	0.691

date

userid

compid

res64

spent (GHz-days)

1998-09-13T00:00:00

ANONYMOUS

v4_computers

2BA528BD27043DE7

0.691

2001-10-20T00:00:00

Ice_9

v4_computers

2BA528BD27043DE7

0.691

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 = 190000, B2 = 5082500 (P-1 stage 2)

B1 = 190000 (P-1 stage 1)

B1 = 60000, B2 = 990000 (P-1 stage 2)

B1 = 60000 (P-1 stage 1)

B1 = 25000, B2 = 275000 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

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